# zbMATH — the first resource for mathematics

## Journal of Mathematical Biology

 Short Title: J. Math. Biol. Publisher: Springer, Berlin/Heidelberg ISSN: 0303-6812; 1432-1416/e Online: http://link.springer.com/journal/volumesAndIssues/285 Comments: Indexed cover-to-cover
 Documents Indexed: 3,121 Publications (since 1974) References Indexed: 2,575 Publications with 84,876 References.
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#### Latest Issues

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#### Authors

 30 Maini, Philip Kumar 29 Metz, Johan A. Jacob 28 Diekmann, Odo 27 van den Driessche, Pauline 25 Byrne, Helen Mary 24 Gyllenberg, Mats 23 Lewis, Mark Alun 21 King, John Robert 20 Mackey, Michael Charles 20 Smith, Hal Leslie 19 Othmer, Hans G. 19 Thieme, Horst R. 18 Cushing, Jim M. 17 Hadeler, Karl-Peter 17 Stadler, Peter F. 16 Levin, Simon Asher 16 Nagylaki, Thomas 16 Ruan, Shigui 15 Bacaër, Nicolas 15 Murray, James Dickson 13 Chaplain, Mark A. J. 13 Edelstein-Keshet, Leah 13 Gourley, Stephen A. 13 Hillen, Thomas 13 Hsu, Szebi 13 Huber, Katharina T. 13 Keener, James P. 13 Liberman, Uri 13 Lutscher, Frithjof 13 Moulton, Vincent L. 13 Perelson, Alan S. 13 Wolkowicz, Gail S. K. 12 Geritz, Stefan A. H. 12 Griffiths, Robert C. 12 Hellmuth, Marc 12 Hethcote, Herbert W. 12 Sherratt, Jonathan A. 11 Broom, Mark 11 Cosner, Chris 11 Hastings, Alan 11 Hofbauer, Josef 11 Lessard, Sabin 11 Méléard, Sylvie 11 Mimura, Masayasu 11 Schreiber, Sebastian J. 11 Steel, Michael Anthony 10 Bürger, Reinhard 10 Li, Bingtuan 10 Notohara, Morihiro 10 Oster, George F. 10 Shi, Junping 10 Sleeman, Brian D. 10 Weinberger, Hans Felix 9 Baake, Ellen 9 Cressman, Ross 9 Dieckmann, Ulf 9 Hening, Alexandru 9 Kisdi, Éva 9 Kuang, Yang 9 Lou, Yuan 9 Lui, Roger 9 Pugliese, Andrea 9 Roberts, Michael George 9 Semple, Charles 9 Webb, Glenn Francis 9 Zhao, Xiao-Qiang 9 Zou, Xingfu 8 Alt, Wolfgang 8 Cantrell, Robert Stephen 8 Castillo-Chavez, Carlos 8 Clote, Peter G. 8 Cooke, Kenneth L. 8 De Leenheer, Patrick 8 Hallam, Thomas G. 8 Heesterbeek, J. A. P. 8 Kiss, István Z. 8 Painter, Kevin J. 8 Preziosi, Luigi 8 Tuljapurkar, Shripad D. 7 Allen, Linda J. S. 7 Ball, Frank G. 7 Banks, Harvey Thomas 7 Beretta, Edoardo 7 Brauer, Fred 7 Busenberg, Stavros N. 7 Calsina, Àngel 7 de Roos, André M. 7 Dietz, Klaus 7 Edwards, David Alan 7 Ermentrout, Bard G. 7 Eshel, Ilan 7 Feldman, Marcus W. 7 Feng, Zhilan 7 Friedman, Avner 7 House, Thomas 7 Karlin, Samuel 7 Ma, Junling 7 Rinzel, John 7 Sumner, Jeremy G. 7 Waltman, Paul Elvis ...and 4,152 more Authors
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#### Fields

 3,044 Biology and other natural sciences (92-XX) 650 Ordinary differential equations (34-XX) 644 Partial differential equations (35-XX) 563 Probability theory and stochastic processes (60-XX) 370 Dynamical systems and ergodic theory (37-XX) 246 Numerical analysis (65-XX) 154 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 141 Combinatorics (05-XX) 137 Systems theory; control (93-XX) 118 Statistics (62-XX) 115 Integral equations (45-XX) 95 Difference and functional equations (39-XX) 66 Calculus of variations and optimal control; optimization (49-XX) 54 Operator theory (47-XX) 54 Operations research, mathematical programming (90-XX) 53 Fluid mechanics (76-XX) 40 Statistical mechanics, structure of matter (82-XX) 38 Computer science (68-XX) 36 Mechanics of deformable solids (74-XX) 30 Linear and multilinear algebra; matrix theory (15-XX) 19 Information and communication theory, circuits (94-XX) 18 Nonassociative rings and algebras (17-XX) 18 Classical thermodynamics, heat transfer (80-XX) 10 Group theory and generalizations (20-XX) 9 Functional analysis (46-XX) 9 Differential geometry (53-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Mechanics of particles and systems (70-XX) 8 History and biography (01-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Approximations and expansions (41-XX) 7 Real functions (26-XX) 7 Convex and discrete geometry (52-XX) 7 Manifolds and cell complexes (57-XX) 7 Optics, electromagnetic theory (78-XX) 6 General topology (54-XX) 4 Geometry (51-XX) 3 General and overarching topics; collections (00-XX) 3 Measure and integration (28-XX) 3 Special functions (33-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Algebraic topology (55-XX) 1 Mathematics education (97-XX)

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2,549 Publications have been cited 37,757 times in 20,626 Documents Cited by Year
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A user’s guide to PDE models for chemotaxis. Zbl 1161.92003
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Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models. Zbl 0582.92023
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Global qualitative analysis of a ratio-dependent predator-prey system. Zbl 0895.92032
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Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations. Zbl 0761.34039
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Dynamical behavior of epidemiological models with nonlinear incidence rates. Zbl 0621.92014
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1987
The dynamical theory of coevolution: A derivation from stochastic ecological processes. Zbl 0845.92013
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1996
On spreading speeds and traveling waves for growth and migration models in a periodic habitat. Zbl 1058.92036
Weinberger, Hans F.
2002
Modeling immunotherapy of the tumor – immune interaction. Zbl 0902.92012
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1998
Models of dispersal in biological systems. Zbl 0713.92018
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1988
Density-dependent birth rate, birth pulses and their population dynamic consequences. Zbl 0990.92033
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2002
Predator-prey populations with parasitic infection. Zbl 0716.92021
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1989
Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system. Zbl 0984.92035
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2001
A non-local model for a swarm. Zbl 0940.92032
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1999
The epidemic threshold of vector-borne diseases with seasonality. Zbl 1098.92056
2006
The evolution of slow dispersal rates: a reaction diffusion model. Zbl 0921.92021
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1998
Thresholds and travelling waves for the geographical spread of infection. Zbl 0415.92020
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1978
Analysis of linear determinacy for spread in cooperative models. Zbl 1023.92040
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2002
The evolution of dispersal. Zbl 1052.92042
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2003
The dynamics of density dependent population models. Zbl 0379.92016
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1977
Dynamic models of infectious diseases as regulators of population sizes. Zbl 0748.92012
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1992
Spreading speed and linear determinacy for two-species competition models. Zbl 1032.92031
Lewis, Mark A.; Li, Bingtuan; Weinberger, Hans F.
2002
A stage structured predator-prey model and its dependence on maturation delay and death rate. Zbl 1055.92043
Gourley, Stephen A.; Kuang, Yang
2004
Global dynamics of a ratio-dependent predator-prey system. Zbl 1007.34031
Xiao, Dongmei; Ruan, Shigui
2001
Some epidemiological models with nonlinear incidence. Zbl 0722.92015
Hethcote, H. W.; van den Driessche, P.
1991
Backwards bifurcations and catastrophe in simple models of fatal diseases. Zbl 0917.92022
Dushoff, Jonathan; Huang, Wenzhang; Castillo-Chavez, Carlos
1998
Analysis of a mathematical model for the growth of tumors. Zbl 0944.92018
Friedman, Avner; Reitich, Fernando
1999
Local vs. non-local interactions in population dynamics. Zbl 0714.92012
Furter, J.; Grinfeld, M.
1989
Optimal control of the chemotherapy of HIV. Zbl 0876.92016
Kirschner, Denise; Lenhart, Suzanne; Serbin, Steve
1997
Analysis of the periodically fragmented environment model. I: Species persistence. Zbl 1066.92047
Berestycki, Henri; Hamel, François; Roques, Lionel
2005
Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 0945.92016
Cooke, K.; van den Driessche, P.; Zou, X.
1999
A simplified neuron model as a principal component analyzer. Zbl 0488.92012
Oja, Erkki
1982
A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay. Zbl 1023.92011
Culshaw, Rebecca V.; Webb, Glenn
2003
Analysis of an SEIRS epidemic model with two delays. Zbl 0865.92019
Cooke, K. L.; van den Driessche, P.
1996
Competitive exclusion in a vector-host model for the dengue fever. Zbl 0878.92025
Feng, Zhilan; Velasco-Hernández, Jorge X.
1997
Global stability of an SIR epidemic model with time delays. Zbl 0811.92019
Beretta, Edoardo; Takeuchi, Yasuhiro
1995
Biased random walk models for chemotaxis and related diffusion approximations. Zbl 0434.92001
Alt, Wolfgang
1980
State-dependent impulsive models of integrated pest management (IPM) strategies and their dynamic consequences. Zbl 1080.92067
Tang, Sanyi; Cheke, Robert A.
2005
A simple SIS epidemic model with a backward bifurcation. Zbl 0961.92029
van den Driessche, P.; Watmough, James
2000
Analysis of a disease transmission model in a population with varying size. Zbl 0725.92021
Busenberg, S.; van den Driessche, P.
1990
To treat or not to treat: The case of tuberculosis. Zbl 0895.92024
Castillo-Chavez, Carlos; Feng, Zhilan
1997
Competition systems with periodic coefficients: A geometric approach. Zbl 0474.92015
De Mottoni, Piero; Schiaffino, Andrea
1981
Travelling wave solutions of diffusive Lotka-Volterra equations. Zbl 0509.92024
Dunbar, Steven R.
1983
Effects of toxicants on populations: a qualitative approach II. First order kinetics. Zbl 0548.92019
Hallam, T. G.; Clark, C. E.; Jordan, G. S.
1983
Predator-prey system with strong Allee effect in prey. Zbl 1232.92076
Wang, Jinfeng; Shi, Junping; Wei, Junjie
2011
A reaction-diffusion malaria model with incubation period in the vector population. Zbl 1232.92057
Lou, Yijun; Zhao, Xiao-Qiang
2011
Travelling front solutions of a nonlocal Fisher equation. Zbl 0982.92028
Gourley, S. A.
2000
Competition for fluctuating nutrient. Zbl 0525.92024
Hale, J. K.; Somolinos, A. S.
1983
A competitive exclusion principle for pathogen virulence. Zbl 0715.92027
Bremermann, H. J.; Thieme, H. R.
1989
A selection-migration model in population genetics. Zbl 0325.92009
Fleming, W. H.
1975
Chaos in three species food chains. Zbl 0823.92030
Klebanoff, Aaron; Hastings, Alan
1994
Travelling fronts in nonlinear diffusion equations. Zbl 0343.92009
1975
On the formulation and analysis of general deterministic structured population models. II. Nonlinear theory. Zbl 1028.92019
Diekmann, O.; Gyllenberg, M.; Huang, H.; Kirkilionis, M.; Metz, J. A. J.
2001
Predator-prey models with delay and prey harvesting. Zbl 1008.34066
Martin, Annik; Ruan, Shigui
2001
On the stability of the cell size distribution. Zbl 0543.92021
Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R.
1984
Coexistence for systems governed by difference equations of Lotka- Volterra type. Zbl 0638.92019
Hofbauer, J.; Hutson, V.; Jansen, W.
1987
Nonlinear simulation of tumor growth. Zbl 1023.92013
Cristini, Vittorio; Lowengrub, John; Nie, Qing
2003
Chemotactic collapse for the Keller-Segel model. Zbl 0866.92009
Herrero, Miguel A.; Velázquez, Juan J. L.
1996
The effects of spatial heterogeneity in population dynamics. Zbl 0722.92018
Cantrell, R. S.; Cosner, C.
1991
Disease transmission models with density-dependent demographics. Zbl 0774.92018
Gao, Linda Q.; Hethcote, Herbert W.
1992
Modeling the role of viral disease in recurrent phytoplankton blooms. Zbl 0825.92122
Beltrami, Edward; Carroll, T. O.
1994
The evolution of dispersal rates in a heterogeneous time-periodic environment. Zbl 0996.92035
Hutson, V.; Mischaikow, K.; Poláčik, P.
2001
Mutual interactions, potentials, and individual distance in a social aggregation. Zbl 1054.92053
Mogilner, A.; Edelstein-Keshet, L.; Bent, L.; Spiros, A.
2003
On the formulation and analysis of general deterministic structured population models. I: Linear theory. Zbl 0909.92023
Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst R.
1998
Models for the effect of toxicant in single-species and predator-prey systems. Zbl 0825.92125
Freedman, H. I.; Shukla, J. B.
1991
Spatial segregation in competitive interaction-diffusion equations. Zbl 0425.92010
Mimura, Masayasu; Kawasaki, Kohkichi
1980
Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching. Zbl 1311.92039
Cristini, Vittorio; Li, Xiangrong; Lowengrub, John S.; Wise, Steven M.
2009
Multiple pulse interactions and averaging in systems of coupled neural oscillators. Zbl 0718.92004
Ermentrout, G. B.; Kopell, N.
1991
Implicit-explicit methods for reaction-diffusion problems in pattern formation. Zbl 0835.92006
Ruuth, Steven J.
1995
SIR dynamics in random networks with heterogeneous connectivity. Zbl 1143.92036
Volz, Erik
2008
Two species competition in a periodic environment. Zbl 0455.92012
Cushing, J. M.
1980
Parametric analysis of the ratio-dependent predator-prey model. Zbl 0995.92043
Berezovskaya, F.; Karev, G.; Arditi, R.
2001
Infinite subharmonic bifurcation in an SEIR epidemic model. Zbl 0523.92020
Schwartz, Ira B.; Smith, H. L.
1983
Derivation of hyperbolic models for chemosensitive movement. Zbl 1080.92014
Filbet, Francis; Laurençot, Philippe; Perthame, Benoît
2005
Persistence in population models with demographic fluctuations. Zbl 0606.92022
Hallam, Thomas G.; Zhien, Ma
1986
On the differential equations of species in competition. Zbl 0344.92009
Smale, S.
1976
Spatial patterning of the spruce budworm. Zbl 0412.92020
Ludwig, D.; Aronson, D. G.; Weinberger, H. F.
1979
A predator-prey reaction-diffusion system with nonlocal effects. Zbl 0840.92018
Gourley, S. A.; Britton, N. F.
1996
Epidemiological models with age structure, proportionate mixing, and cross-immunity. Zbl 0715.92028
Castillo-Chavez, C.; Hethcote, H. W.; Andreasen, V.; Levin, S. A.; Liu, W. M.
1989
Discrete-time travelling waves: Ecological examples. Zbl 0825.92126
Kot, Mark
1992
Global stability in two species interactions. Zbl 0362.92013
Goh, B. S.
1976
Isochrons and phaseless sets. Zbl 0345.92001
Guckenheimer, J.
1975
Evolutionary game dynamics in a Wright-Fisher process. Zbl 1110.92028
Imhof, Lorens A.; Nowak, Martin A.
2006
Persistence in reaction diffusion models with weak Allee effect. Zbl 1110.92055
Shi, Junping; Shivaji, Ratnasingham
2006
Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth. Zbl 0988.92003
Chaplain, M. A. J.; Ganesh, M.; Graham, I. G.
2001
The dynamics of cocirculating influenza strains conferring partial cross-immunity. Zbl 0874.92023
Andreasen, Viggo; Lin, Juan; Levin, Simon A.
1997
The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model. Zbl 0890.92021
Collings, John B.
1997
Convergence to equilibrium states for a reaction-diffusion system modelling the spatial spread of a class of bacterial and viral diseases. Zbl 0468.92016
1981
A delayed-recruitment model of population dynamics, with an application to baleen whale populations. Zbl 0337.92011
Clark, C. W.
1976
Mathematical modeling of tumor-induced angiogenesis. Zbl 1109.92020
Mantzaris, Nikos V.; Webb, Steve; Othmer, Hans G.
2004
Pontryagin’s principle for control problems in age-dependent population dynamics. Zbl 0599.92017
Brokate, Martin
1985
Threshold and stability results for an age-structured epidemic model. Zbl 0742.92019
Inaba, H.
1990
Competitive exclusion in a two-species chemotaxis model. Zbl 1319.92050
Stinner, C.; Tello, J. I.; Winkler, M.
2014
Existence of traveling wave solutions in a diffusive predator-prey model. Zbl 1018.92026
Huang, Jianhua; Lu, Gang; Ruan, Shigui
2003
Epidemiological models for sexually transmitted diseases. Zbl 0643.92015
1988
Rich dynamics of a ratio-dependent one-prey two-predators model. Zbl 1007.34054
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
2001
Progression age enhanced backward bifurcation in an epidemic model with super-infection. Zbl 1097.92046
Martcheva, Maia; Thieme, Horst R.
2003
Numerical taxonomy with fuzzy sets. Zbl 0403.62039
Bezdek, J. C.
1974
A delay differential equation model for tumor growth. Zbl 1023.92014
2003
Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling. Zbl 0779.92021
Ruan, Shigui
1993
Turing conditions for pattern forming systems on evolving manifolds. Zbl 1456.35029
Van Gorder, Robert A.; Klika, Václav; Krause, Andrew L.
2021
Complete characterization of incorrect orthology assignments in best match graphs. Zbl 1460.92149
Schaller, David; Geiß, Manuela; Stadler, Peter F.; Hellmuth, Marc
2021
Control with uncertain data of socially structured compartmental epidemic models. Zbl 1467.92167
Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
2021
Maximizing the total population with logistic growth in a patchy environment. Zbl 1456.49041
Nagahara, Kentaro; Lou, Yuan; Yanagida, Eiji
2021
Analytic solutions for stochastic hybrid models of gene regulatory networks. Zbl 1459.35362
Kurasov, Pavel; Mugnolo, Delio; Wolf, Verena
2021
A novel mathematical model of heterogeneous cell proliferation. Zbl 1460.92069
Vittadello, Sean T.; McCue, Scott W.; Gunasingh, Gency; Haass, Nikolas K.; Simpson, Matthew J.
2021
Dynamics of task allocation in social insect colonies: scaling effects of colony size versus work activities. Zbl 1466.34046
Feng, Tao; Charbonneau, Daniel; Qiu, Zhipeng; Kang, Yun
2021
Towards a replicator dynamics model of age structured populations. Zbl 1465.92073
Argasinski, Krzysztof; Broom, Mark
2021
Corrigendum to: “Best match graphs”. Zbl 07340472
Schaller, David; Geiß, Manuela; Chávez, Edgar; González Laffitte, Marcos; López Sánchez, Alitzel; Stadler, Bärbel M. R.; Valdivia, Dulce I.; Hellmuth, Marc; Hernández Rosales, Maribel; Stadler, Peter F.
2021
A general theory of coexistence and extinction for stochastic ecological communities. Zbl 1466.92226
Hening, Alexandru; Nguyen, Dang H.; Chesson, Peter
2021
Kinetic models with non-local sensing determining cell polarization and speed according to independent cues. Zbl 1432.92020
2020
Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments. Zbl 1434.35250
Ardaševa, Aleksandra; Gatenby, Robert A.; Anderson, Alexander R. A.; Byrne, Helen M.; Maini, Philip K.; Lorenzi, Tommaso
2020
The Fisher-KPP equation over simple graphs: varied persistence states in river networks. Zbl 1431.35074
Du, Yihong; Lou, Bendong; Peng, Rui; Zhou, Maolin
2020
Reciprocal best match graphs. Zbl 1433.05303
Geiß, Manuela; Stadler, Peter F.; Hellmuth, Marc
2020
Joining and decomposing reaction networks. Zbl 1439.13080
Gross, Elizabeth; Harrington, Heather; Meshkat, Nicolette; Shiu, Anne
2020
On models of physiologically structured populations and their reduction to ordinary differential equations. Zbl 1432.92071
Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J.
2020
Finite dimensional state representation of physiologically structured populations. Zbl 1433.92034
Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J.
2020
Oscillations in a white blood cell production model with multiple differentiation stages. Zbl 1440.34047
Knauer, Franziska; Stiehl, Thomas; Marciniak-Czochra, Anna
2020
The ESS for evolutionary matrix games under time constraints and its relationship with the asymptotically stable rest point of the replicator dynamics. Zbl 1435.91030
Varga, Tamás; Móri, Tamás F.; Garay, József
2020
Best match graphs and reconciliation of gene trees with species trees. Zbl 1434.05035
Geiß, Manuela; Laffitte, Marcos E. González; Sánchez, Alitzel López; Valdivia, Dulce I.; Hellmuth, Marc; Rosales, Maribel Hernández; Stadler, Peter F.
2020
On the minimum value of the Colless index and the bifurcating trees that achieve it. Zbl 1443.92126
Coronado, Tomás M.; Fischer, Mareike; Herbst, Lina; Rosselló, Francesc; Wicke, Kristina
2020
Asymptotic profiles of the steady states for an SIS epidemic patch model with asymmetric connectivity matrix. Zbl 1437.92114
Chen, Shanshan; Shi, Junping; Shuai, Zhisheng; Wu, Yixiang
2020
Evolution of dispersal in spatial population models with multiple timescales. Zbl 1433.92028
Cantrell, Robert Stephen; Cosner, Chris; Lewis, Mark A.; Lou, Yuan
2020
Bridging the gap between individual-based and continuum models of growing cell populations. Zbl 1432.92007
Chaplain, Mark A. J.; Lorenzi, Tommaso; Macfarlane, Fiona R.
2020
Infinitesimal homeostasis in three-node input-output networks. Zbl 1436.92009
Golubitsky, Martin; Wang, Yangyang
2020
The competitive exclusion principle in stochastic environments. Zbl 1435.92092
Hening, Alexandru; Nguyen, Dang H.
2020
Distribution of extreme first passage times of diffusion. Zbl 1456.92007
Lawley, Sean D.
2020
Transitions to slow or fast diffusions provide a general property for in-phase or anti-phase polarity in a cell. Zbl 1434.35260
Seirin-Lee, S.; Sukekawa, T.; Nakahara, T.; Ishii, H.; Ei, S.-I.
2020
Analysis of a predator-prey model with specific time scales: a geometrical approach proving the occurrence of canard solutions. Zbl 07169646
Poggiale, Jean-Christophe; Aldebert, Clément; Girardot, Benjamin; Kooi, Bob W.
2020
Evolutionarily stable movement strategies in reaction-diffusion models with edge behavior. Zbl 1433.92066
Maciel, Gabriel; Cosner, Chris; Cantrell, Robert Stephen; Lutscher, Frithjof
2020
The winner takes it all: how semelparous insects can become periodical. Zbl 1437.37117
Diekmann, Odo; Planqué, Robert
2020
Modelling chase-and-run migration in heterogeneous populations. Zbl 1432.92014
Colombi, A.; Scianna, M.; Painter, K. J.; Preziosi, L.
2020
Spatial pattern formation in reaction-diffusion models: a computational approach. Zbl 1432.92009
Hao, Wenrui; Xue, Chuan
2020
Basic reproduction ratios for periodic and time-delayed compartmental models with impulses. Zbl 1440.34086
Bai, Zhenguo; Zhao, Xiao-Qiang
2020
Global dynamics of SIR model with switched transmission rate. Zbl 1440.34044
Chladná, Zuzana; Kopfová, Jana; Rachinskii, Dmitrii; Rouf, Samiha C.
2020
Level-1 phylogenetic networks and their balanced minimum evolution polytopes. Zbl 1440.90021
Durell, Cassandra; Forcey, Stefan
2020
Localized outbreaks in an S-I-R model with diffusion. Zbl 1439.35490
Gai, Chunyi; Iron, David; Kolokolnikov, Theodore
2020
Modeling and dynamics of Wolbachia-infected male releases and mating competition on mosquito control. Zbl 1448.34106
Zhang, Xianghong; Liu, Qiyong; Zhu, Huaiping
2020
Population abundance of two-patch competitive systems with asymmetric dispersal. Zbl 1448.34102
Wang, Yuanshi; Wu, Hong; He, Yiyang; Wang, Zhihui; Hu, Kun
2020
Modelling physical limits of migration by a kinetic model with non-local sensing. Zbl 1434.92014
2020
Infection severity across scales in multi-strain immuno-epidemiological dengue model structured by host antibody level. Zbl 1439.92174
Gulbudak, Hayriye; Browne, Cameron J.
2020
Inside dynamics for stage-structured integrodifference equations. Zbl 1433.37083
Marculis, Nathan G.; Garnier, Jimmy; Lui, Roger; Lewis, Mark A.
2020
Coarse-graining molecular dynamics: stochastic models with non-Gaussian force distributions. Zbl 1434.82064
2020
Uncertainty quantification on a spatial Markov-chain model for the progression of skin cancer. Zbl 1431.60078
Vermolen, Fred; Pölönen, Ilkka
2020
Monotone dynamics and global behaviors of a West Nile virus model with mosquito demographics. Zbl 1433.92061
Qiu, Zhipeng; Wei, Xuerui; Shan, Chunhua; Zhu, Huaiping
2020
An almost periodic Ross-Macdonald model with structured vector population in a patchy environment. Zbl 1440.34051
Wang, Bin-Guo; Qiang, Lizhong; Wang, Zhi-Cheng
2020
Limit theorems for generalized density-dependent Markov chains and bursty stochastic gene regulatory networks. Zbl 1431.60083
Chen, Xian; Jia, Chen
2020
A systems-theoretic analysis of low-level human motor control: application to a single-joint arm model. Zbl 1432.92004
Brändle, Stefanie; Schmitt, Syn; Müller, Matthias A.
2020
On the conjecture for the pushed wavefront to the diffusive Lotka-Volterra competition model. Zbl 1431.35070
2020
Cannings models, population size changes and multiple-merger coalescents. Zbl 1451.92252
Freund, Fabian
2020
Canard-induced complex oscillations in an excitatory network. Zbl 07206471
Köksal Ersöz, Elif; Desroches, Mathieu; Guillamon, Antoni; Rinzel, John; Tabak, Joël
2020
An SIS model for the epidemic dynamics with two phases of the human day-to-day activity. Zbl 1443.92183
Seno, Hiromi
2020
A cell-cell repulsion model on a hyperbolic Keller-Segel equation. Zbl 1437.92018
Fu, Xiaoming; Griette, Quentin; Magal, Pierre
2020
Dynamic metabolic resource allocation based on the maximum entropy principle. Zbl 1443.92075
Tourigny, David S.
2020
Optimal open-loop desynchronization of neural oscillator populations. Zbl 1447.92208
Wilson, Dan
2020
Harvesting and seeding of stochastic populations: analysis and numerical approximation. Zbl 1441.91055
Hening, Alexandru; Tran, Ky Quan
2020
Long-lasting insecticidal nets and the quest for malaria eradication: a mathematical modeling approach. Zbl 1447.92218
Enahoro, Iboi; Eikenberry, Steffen; Gumel, Abba B.; Huijben, Silvie; Paaijmans, Krijn
2020
Global analysis of a predator-prey model with variable predator search rate. Zbl 1448.34099
Dalziel, Benjamin D.; Thomann, Enrique; Medlock, Jan; De Leenheer, Patrick
2020
Analysis and optimal control of an HIV model based on CD4 count. Zbl 1447.92432
Ishaku, A.; Gazali, A. M.; Abdullahi, S. A.; Hussaini, N.
2020
Modeling the role of macrophages in HIV persistence during antiretroviral therapy. Zbl 1447.37081
Guo, Ting; Qiu, Zhipeng; Rong, Libin
2020
On the effects of carrying capacity and intrinsic growth rate on single and multiple species in spatially heterogeneous environments. Zbl 1444.92088
Guo, Qian; He, Xiaoqing; Ni, Wei-Ming
2020
On real-valued SDE and nonnegative-valued SDE population models with demographic variability. Zbl 1448.60120
Allen, E. J.; Allen, L. J. S.; Smith, H. L.
2020
Quantitative approximation of the discrete Moran process by a Wright-Fisher diffusion. Zbl 1454.60128
Gackou, Gorgui; Guillin, Arnaud; Personne, Arnaud
2020
Target reproduction numbers for reaction-diffusion population models. Zbl 1445.35214
Wang, Xueying; Zhao, Xiao-Qiang
2020
A multiphase model of growth factor-regulated atherosclerotic cap formation. Zbl 1448.92066
Watson, Michael G.; Byrne, Helen M.; Macaskill, Charlie; Myerscough, Mary R.
2020
Populations in environments with a soft carrying capacity are eventually extinct. Zbl 1451.92257
Jagers, Peter; Zuyev, Sergei
2020
Resident-invader dynamics of similar strategies in fluctuating environments. Zbl 1454.34069
Cai, Yuhua; Geritz, Stefan A. H.
2020
Nonlocal and local models for taxis in cell migration: a rigorous limit procedure. Zbl 1458.35422
Eckardt, Maria; Painter, Kevin J.; Surulescu, Christina; Zhigun, Anna
2020
Time-dependent solution of the NIMFA equations around the epidemic threshold. Zbl 1457.92177
Prasse, Bastian; Van Mieghem, Piet
2020
Counting phylogenetic networks of level 1 and 2. Zbl 1455.05006
Bouvel, Mathilde; Gambette, Philippe; Mansouri, Marefatollah
2020
Invasion analysis on a predator-prey system in open advective environments. Zbl 1458.35427
Nie, Hua; Wang, Biao; Wu, Jianhua
2020
Global dynamics of a mutualism-competition model with one resource and multiple consumers. Zbl 1410.34142
Wang, Yuanshi; Wu, Hong; DeAngelis, Donald L.
2019
Best match graphs. Zbl 1415.92133
Geiß, Manuela; Chávez, Edgar; González Laffitte, Marcos; López Sánchez, Alitzel; Stadler, Bärbel M. R.; Valdivia, Dulce I.; Hellmuth, Marc; Hernández Rosales, Maribel; Stadler, Peter F.
2019
Persistence and extinction of population in reaction-diffusion-advection model with strong Allee effect growth. Zbl 1415.92162
Wang, Yan; Shi, Junping; Wang, Jinfeng
2019
Persistence and extinction for stochastic ecological models with internal and external variables. Zbl 1417.92207
Benaïm, Michel; Schreiber, Sebastian J.
2019
Dynamics and asymptotic profiles of endemic equilibrium for SIS epidemic patch models. Zbl 1425.92189
Li, Huicong; Peng, Rui
2019
Turing patterns in a predator-prey model with seasonality. Zbl 1408.35218
Wang, Xiaoying; Lutscher, Frithjof
2019
A periodic SEIRS epidemic model with a time-dependent latent period. Zbl 1414.34065
Li, Fuxiang; Zhao, Xiao-Qiang
2019
Dynamics of a consumer-resource reaction-diffusion model. Homogeneous versus heterogeneous environments. Zbl 1415.92150
He, Xiaoqing; Lam, King-Yeung; Lou, Yuan; Ni, Wei-Ming
2019
A general theory for target reproduction numbers with applications to ecology and epidemiology. Zbl 1415.92153
Lewis, Mark A.; Shuai, Zhisheng; van den Driessche, P.
2019
Stability analysis of a state-dependent delay differential equation for cell maturation: analytical and numerical methods. Zbl 07076781
Getto, Philipp; Gyllenberg, Mats; Nakata, Yukihiko; Scarabel, Francesca
2019
Can chemotaxis speed up or slow down the spatial spreading in parabolic-elliptic Keller-Segel systems with logistic source? Zbl 07121157
Salako, Rachidi B.; Shen, Wenxian; Xue, Shuwen
2019
Habitat fragmentation promotes malaria persistence. Zbl 1431.92133
Gao, Daozhou; van den Driessche, P.; Cosner, Chris
2019
Spreading speed for a West Nile virus model with free boundary. Zbl 1421.35391
Wang, Zhiguo; Nie, Hua; Du, Yihong
2019
Regions of multistationarity in cascades of Goldbeter-Koshland loops. Zbl 1409.92103
Giaroli, Magalí; Bihan, Frédéric; Dickenstein, Alicia
2019
Oscillations and bistability in a model of ERK regulation. Zbl 1425.92097
Obatake, Nida; Shiu, Anne; Tang, Xiaoxian; Torres, Angélica
2019
Alternative characterizations of Fitch’s xenology relation. Zbl 1420.92082
Hellmuth, Marc; Seemann, Carsten R.
2019
Optimal time-profiles of public health intervention to shape voluntary vaccination for childhood diseases. Zbl 1409.92145
Buonomo, Bruno; Manfredi, Piero; d&rsquo;Onofrio, Alberto
2019
A simultaneous blow-up problem arising in tumor modeling. Zbl 1423.35162
Espejo, Elio; Vilches, Karina; Conca, Carlos
2019
A structured population model of clonal selection in acute leukemias with multiple maturation stages. Zbl 1423.35383
Lorenzi, Tommaso; Marciniak-Czochra, Anna; Stiehl, Thomas
2019
Harvesting of interacting stochastic populations. Zbl 1418.92217
Hening, Alexandru; Tran, Ky Quan; Phan, Tien Trong; Yin, George
2019
The basic reproduction number $$R_0$$ in time-heterogeneous environments. Zbl 1418.92170
Inaba, Hisashi
2019
Optimal control of vaccination in a vector-Borne reaction – diffusion model applied to Zika virus. Zbl 1416.35136
Miyaoka, Tiago Yuzo; Lenhart, Suzanne; Meyer, João F. C. A.
2019
A balance index for phylogenetic trees based on rooted quartets. Zbl 1416.05069
Coronado, Tomás M.; Mir, Arnau; Rosselló, Francesc; Valiente, Gabriel
2019
Stability analysis of a steady state of a model describing Alzheimer’s disease and interactions with prion proteins. Zbl 1411.92044
Helal, Mohammed; Igel-Egalon, Angélique; Lakmeche, Abdelkader; Mazzocco, Pauline; Perrillat-Mercerot, Angélique; Pujo-Menjouet, Laurent; Rezaei, Human; Tine, Léon M.
2019
State estimators for some epidemiological systems. Zbl 1410.92123
Iggidr, A.; Souza, M. O.
2019
Using non-smooth models to determine thresholds for microbial pest management. Zbl 1414.34039
Wang, Aili; Xiao, Yanni; Smith?, Robert
2019
Derivation of a bacterial nutrient-taxis system with doubly degenerate cross-diffusion as the parabolic limit of a velocity-jump process. Zbl 1415.92039
Plaza, Ramón G.
2019
Intraguild predation with evolutionary dispersal in a spatially heterogeneous environment. Zbl 1415.92130
Choi, Wonhyung; Baek, Seunghyeon; Ahn, Inkyung
2019
Population dynamics in river networks: analysis of steady states. Zbl 1412.35182
Vasilyeva, Olga
2019
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#### Cited by 20,284 Authors

 186 Chen, Lansun 133 Teng, Zhi-dong 99 Li, Wan-Tong 97 Ruan, Shigui 90 Zhao, Xiao-Qiang 85 Jin, Zhen 73 Tang, Sanyi 72 Takeuchi, Yasuhiro 71 Maini, Philip Kumar 67 Lou, Yuan 67 Xu, Rui 66 Jiang, Daqing 66 Wang, Wendi 65 Chaplain, Mark A. J. 64 Song, Xinyu 62 Chattopadhyay, Joydev 62 Perthame, Benoît 62 Winkler, Michael 61 Li, Xuezhi 60 Byrne, Helen Mary 60 Meng, Xinzhu 60 Zou, Xingfu 58 Gumel, Abba B. 58 Shi, Junping 58 Wu, Jianhong 57 Diekmann, Odo 57 Thieme, Horst R. 56 Carrillo de la Plata, José Antonio 56 Kuang, Yang 55 Gyllenberg, Mats 55 Lewis, Mark Alun 54 Shen, Wenxian 54 Wei, Junjie 54 Xiao, Yanni 53 van den Driessche, Pauline 52 Smith, Hal Leslie 51 Martcheva, Maia 47 Liu, Meng 47 Mu, Chunlai 47 Sherratt, Jonathan A. 44 Ha, Seung-Yeal 44 Lin, Zhigui 44 Webb, Glenn Francis 43 Castillo-Chavez, Carlos 43 Cui, Jingan 43 Cushing, Jim M. 43 Yuan, Sanling 42 Allen, Linda J. S. 42 Banks, Harvey Thomas 42 Bellomo, Nicola 42 Feng, Zhilan 42 Ma, Wanbiao 42 Wang, Jinliang 42 Yakubu, Abdul-Aziz 41 Freedman, Herbert Irving 41 Kang, Yun 41 Qiu, Zhipeng 41 Wang, Weiming 40 Cosner, Chris 40 Hadeler, Karl-Peter 40 Lutscher, Frithjof 40 Ma, Zhien 40 Volpert, Vitaly A. 40 Yuan, Rong 39 Gao, Shujing 39 Guo, Shangjiang 39 Wang, Ke 38 Friedman, Avner 38 Kuniya, Toshikazu 38 Liu, Shengqiang 38 Mackey, Michael Charles 38 Sun, Guiquan 38 Wang, Yuanshi 37 Banerjee, Malay 37 Elaiw, Ahmed M. 37 Samanta, Guru Prasad 37 Venturino, Ezio 37 Zhang, Tonghua 36 Cheke, Robert A. 36 Hillen, Thomas 36 King, John Robert 36 Liu, Xianning 36 Nowak, Martin Andreas 36 Painter, Kevin J. 36 Wang, Feng-Bin 36 Wang, Zhi Cheng 35 Kar, Tapan Kumar 35 Zhu, Huaiping 34 Lin, Guo 34 Stadler, Peter F. 34 Tao, Youshan 34 Wang, Zhian 34 Zhang, Tailei 33 Hamel, François 33 Xiao, Dongmei 32 Ackleh, Azmy S. 32 Cai, Liming 32 Ducrot, Arnaud 32 Jiang, Jifa 32 Kulenović, Mustafa R. S. ...and 20,184 more Authors
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#### Cited in 751 Journals

 1,626 Journal of Mathematical Biology 1,173 Journal of Theoretical Biology 1,067 Mathematical Biosciences 935 Bulletin of Mathematical Biology 697 Theoretical Population Biology 680 Journal of Mathematical Analysis and Applications 645 Applied Mathematics and Computation 547 Journal of Differential Equations 521 Nonlinear Analysis. Real World Applications 409 Discrete and Continuous Dynamical Systems. Series B 330 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 322 Chaos, Solitons and Fractals 319 Mathematical Biosciences and Engineering 275 Journal of Biological Dynamics 252 Computers & Mathematics with Applications 250 Mathematical and Computer Modelling 235 Physica D 231 International Journal of Biomathematics 213 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 208 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 207 Chaos 193 Applied Mathematical Modelling 192 Advances in Difference Equations 184 Mathematical Methods in the Applied Sciences 183 Journal of Computational and Applied Mathematics 168 Communications in Nonlinear Science and Numerical Simulation 163 Journal of Biological Systems 156 Applied Mathematics Letters 150 Discrete Dynamics in Nature and Society 144 Abstract and Applied Analysis 143 Journal of Difference Equations and Applications 143 Nonlinear Dynamics 142 SIAM Journal on Applied Mathematics 134 Journal of Dynamics and Differential Equations 134 Discrete and Continuous Dynamical Systems 128 Mathematical Modelling of Natural Phenomena 124 Nonlinear Analysis. Theory, Methods & Applications 120 SIAM Journal on Applied Dynamical Systems 117 Biological Cybernetics 112 Journal of Computational Physics 96 ZAMP. Zeitschrift für angewandte Mathematik und Physik 95 Applicable Analysis 95 Journal of Nonlinear Science 94 Mathematics and Computers in Simulation 91 Journal of Applied Mathematics and Computing 84 Journal of Statistical Physics 84 Acta Applicandae Mathematicae 82 Neural Computation 80 Computational & Mathematical Methods in Medicine 77 Journal of Mathematical Chemistry 75 SIAM Journal on Mathematical Analysis 73 Nonlinearity 69 Complexity 64 Journal of the Franklin Institute 62 Communications on Pure and Applied Analysis 61 Rocky Mountain Journal of Mathematics 61 Stochastic Processes and their Applications 60 Mathematical Population Studies 59 Physica A 59 Differential Equations and Dynamical Systems 58 Journal of Applied Mathematics 58 Discrete and Continuous Dynamical Systems. Series S 57 Applied Numerical Mathematics 54 Mathematical Problems in Engineering 54 Journal of Applied Analysis and Computation 53 Automatica 53 Proceedings of the American Mathematical Society 52 Japan Journal of Industrial and Applied Mathematics 52 Computational and Applied Mathematics 50 European Journal of Applied Mathematics 50 The Annals of Applied Probability 48 Journal of Applied Probability 45 Archive for Rational Mechanics and Analysis 45 Calculus of Variations and Partial Differential Equations 41 Journal of Mathematical Physics 41 Transactions of the American Mathematical Society 40 Acta Mathematicae Applicatae Sinica. English Series 40 Journal of Scientific Computing 39 Journal de Mathématiques Pures et Appliquées. Neuvième Série 38 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 38 Journal of Computational Neuroscience 38 Nonlinear Analysis. Hybrid Systems 37 Computer Methods in Applied Mechanics and Engineering 37 The Journal of Mathematical Neuroscience 36 Journal of Functional Analysis 36 Ricerche di Matematica 36 Comptes Rendus. Mathématique. Académie des Sciences, Paris 35 Journal of Fluid Mechanics 33 Communications in Partial Differential Equations 33 Linear Algebra and its Applications 33 The ANZIAM Journal 32 Advances in Applied Probability 32 Journal of Optimization Theory and Applications 32 Boundary Value Problems 31 Dynamic Games and Applications 31 International Journal of Applied and Computational Mathematics 28 Stochastic Analysis and Applications 28 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 28 International Journal of Computer Mathematics 28 SIAM Journal on Scientific Computing ...and 651 more Journals
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#### Cited in 61 Fields

 15,908 Biology and other natural sciences (92-XX) 5,865 Partial differential equations (35-XX) 5,439 Ordinary differential equations (34-XX) 2,497 Dynamical systems and ergodic theory (37-XX) 1,924 Probability theory and stochastic processes (60-XX) 1,771 Numerical analysis (65-XX) 1,061 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 956 Systems theory; control (93-XX) 676 Integral equations (45-XX) 669 Calculus of variations and optimal control; optimization (49-XX) 608 Difference and functional equations (39-XX) 552 Statistics (62-XX) 488 Operator theory (47-XX) 441 Fluid mechanics (76-XX) 389 Combinatorics (05-XX) 350 Statistical mechanics, structure of matter (82-XX) 343 Computer science (68-XX) 251 Mechanics of deformable solids (74-XX) 225 Operations research, mathematical programming (90-XX) 131 Classical thermodynamics, heat transfer (80-XX) 119 Linear and multilinear algebra; matrix theory (15-XX) 111 Mechanics of particles and systems (70-XX) 93 Information and communication theory, circuits (94-XX) 92 Global analysis, analysis on manifolds (58-XX) 89 Real functions (26-XX) 63 Functional analysis (46-XX) 53 Differential geometry (53-XX) 53 Quantum theory (81-XX) 51 Optics, electromagnetic theory (78-XX) 41 Nonassociative rings and algebras (17-XX) 39 General and overarching topics; collections (00-XX) 30 History and biography (01-XX) 30 Measure and integration (28-XX) 24 Group theory and generalizations (20-XX) 23 Approximations and expansions (41-XX) 23 General topology (54-XX) 23 Geophysics (86-XX) 18 Mathematical logic and foundations (03-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 18 Manifolds and cell complexes (57-XX) 17 Integral transforms, operational calculus (44-XX) 16 Special functions (33-XX) 15 Algebraic geometry (14-XX) 14 Mathematics education (97-XX) 13 Convex and discrete geometry (52-XX) 12 Number theory (11-XX) 12 Commutative algebra (13-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 7 Associative rings and algebras (16-XX) 7 Topological groups, Lie groups (22-XX) 7 Functions of a complex variable (30-XX) 7 Potential theory (31-XX) 7 Algebraic topology (55-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Sequences, series, summability (40-XX) 5 Relativity and gravitational theory (83-XX) 4 Abstract harmonic analysis (43-XX) 4 Astronomy and astrophysics (85-XX) 3 Field theory and polynomials (12-XX) 2 Geometry (51-XX) 1 General algebraic systems (08-XX)