# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 169 Publications since 1964, including 7 Books Reviewing Activity: 2 Reviews Biographic References: 3 Publications
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#### Co-Authors

 87 single-authored 6 Dietz, Klaus 6 Müller, Johannes 5 Hillen, Thomas 4 Kuttler, Christina 3 Elsner, Ludwig F. 3 Lu, Zhiqi 3 Rothe, Franz 2 an der Heiden, Uwe 2 Baumgärtner, Johann 2 Bocharov, Gennady A. 2 Collatz, Lothar 2 Eichner, Martin 2 Lewis, Mark Alun 2 Lutscher, Frithjof 2 Mwambi, Henry G. 2 Safan, Muntaser 2 Thieme, Horst R. 2 van den Driessche, Pauline 2 Waldstätter, Roland 1 Arino, D. 1 Aulbach, Bernd 1 Bandt, Christoph 1 Barbarossa, Maria Vittoria 1 Bilinsky, Lydia M. 1 Bohl, Erich 1 Braess, Dietrich 1 Busenberg, Stavros N. 1 Castillo-Chavez, Carlos 1 de Mottoni, Piero 1 Diekmann, Odo 1 Dkhil, Fathi 1 Durrett, Richard Timothy 1 Eisele, Peter 1 Faeth, Stanley H. 1 Flores, Kevin B. 1 Freedman, Herbert Irving 1 Gerstmann, I. 1 Glas, D. 1 Gouzé, Jean-Luc 1 Hbid, Moulay Lhassan 1 Heesterbeek, Hans 1 Illner, Reinhard 1 Jukić, Dragan 1 Kriese, F. 1 Liberman, Uri 1 Maini, Philip Kumar 1 Ngoma, K. 1 Nussbaum, Alexander K. 1 Poulsen, Ebbe Thue 1 Ruan, Shigui 1 Sabo, Kristian 1 Schieborn, Dirk 1 Schöfisch, B. 1 Schönfisch, Birgitt H. 1 Selivanova, Elena N. 1 Smith, Hal Leslie 1 Tomiuk, J. 1 Walcher, Sebastian 1 Wörz-Busekros, Angelika 1 Zhang, Peiqu
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#### Serials

 17 Journal of Mathematical Biology 10 Mathematical Biosciences 9 Linear Algebra and its Applications 7 Numerische Mathematik 6 Archive for Rational Mechanics and Analysis 4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 The Canadian Applied Mathematics Quarterly 4 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Biological Dynamics 3 Mathematical Methods in the Applied Sciences 3 Journal of Differential Equations 2 Biological Cybernetics 2 Journal of Mathematical Analysis and Applications 2 Rocky Mountain Journal of Mathematics 2 Computing 2 Soviet Mathematics. Doklady 2 Physica D 2 Aequationes Mathematicae 2 Mitteilungen der Mathematischen Gesellschaft in Hamburg 2 SIAM Journal on Applied Mathematics 2 Mathematical Biosciences and Engineering 2 ISNM. International Series of Numerical Mathematics 1 Acta Universitatis Carolinae. Mathematica et Physica 1 American Mathematical Monthly 1 Computers & Mathematics with Applications 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Journal of Approximation Theory 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Applicandae Mathematicae 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Buletinul Institutului Politehnic din Iaşi. Secţia I 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Mathematical Analysis 1 Journal of Nonlinear Science 1 Nonlinear Times and Digest 1 Nonlinear World 1 Bulletin of Biomathematics 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Regular and Chaotic Dynamics 1 Rivista di Matematica della Università di Parma. Serie 6 1 Forma 1 Statistical Methods in Medical Research 1 Lecture Notes in Mathematics 1 Mathematical Modelling of Natural Phenomena 1 Kybernetik 1 Lecture Notes on Mathematical Modelling in the Life Sciences 1 Springer Monographs in Mathematics
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#### Fields

 102 Biology and other natural sciences (92-XX) 51 Ordinary differential equations (34-XX) 38 Partial differential equations (35-XX) 25 Dynamical systems and ergodic theory (37-XX) 16 Numerical analysis (65-XX) 12 Probability theory and stochastic processes (60-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Integral equations (45-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 General and overarching topics; collections (00-XX) 5 Operator theory (47-XX) 5 Fluid mechanics (76-XX) 4 Computer science (68-XX) 4 Mechanics of deformable solids (74-XX) 4 Systems theory; control (93-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Nonassociative rings and algebras (17-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

135 Publications have been cited 1,838 times in 1,406 Documents Cited by Year
Predator-prey populations with parasitic infection. Zbl 0716.92021
Hadeler, K. P.; Freedman, H. I.
1989
Backward bifurcation in epidemic control. Zbl 0904.92031
Hadeler, K. P.; van den Driessche, P.
1997
Travelling fronts in nonlinear diffusion equations. Zbl 0343.92009
1975
A core group model for disease transmission. Zbl 0832.92021
1995
Epidemiological models for sexually transmitted diseases. Zbl 0643.92015
1988
Periodic solutions of difference-differential equations. Zbl 0426.34058
1977
Models for pair formation in bisexual populations. Zbl 0714.92018
Hadeler, K. P.; Waldstätter, R.; Wörz-Busekros, A.
1988
On copositive matrices. Zbl 0506.15016
1983
Pair formation in age-structured populations. Zbl 0667.92013
1989
Reaction transport systems in biological modelling. Zbl 1002.92506
1999
Existence of periodic solutions for delay differential equations with state dependent delay. Zbl 0913.34057
Arino, D.; Hadeler, K. P.; Hbid, M. L.
1998
Spatial dynamics of the diffusive logistic equation with a sedentary compartment. Zbl 1065.35141
Hadeler, K. P.; Lewis, M. A.
2002
Ein inverses Eigenwertproblem. Zbl 0159.03602
1968
Nonlinear hyperbolic partial differential equations for the dynamics of parasite populations. Zbl 0518.92021
1983
Effective computation of periodic orbits and bifurcation diagrams in delay equations. Zbl 0419.34070
1980
Simultaneous inclusion of the zeros of a polynomial. Zbl 0267.65036
1973
Structured population models, conservation laws, and delay equations. Zbl 0972.34059
2000
Interaction of diffusion and delay. Zbl 1128.92001
2007
Selection models with fertility differences. Zbl 0324.92025
1975
Demography and epidemics. Zbl 0751.92012
Busenberg, Stavros N.; Hadeler, K. P.
1990
Variationsprinzipien bei nichtlinearen Eigenwertaufgaben. Zbl 0165.48101
1968
Pair formation models with maturation period. Zbl 0808.92024
1993
Periodic solutions of homogeneous equations. Zbl 0747.34030
1992
Mehrparametrige und nichtlineare Eigenwertaufgaben. Zbl 0166.41701
1967
Multiplikative inverse Eigenwertprobleme. Zbl 0182.05201
1969
Quasimonotone systems and convergence to equilibrium in a population genetic model. Zbl 0515.92012
1983
Population dynamics of killing parasites which reproduce in the host. Zbl 0554.92015
1984
The discrete Rosenzweig model. Zbl 0694.92014
1990
Eigenwerte von Operatorpolynomen. Zbl 0136.12601
1965
Model of plasmid-bearing, plasmid-free competition in the chemostat with nutrient recycling and an inhibitor. Zbl 0930.92029
1998
Mathematik für Biologen. Zbl 0286.92001
1974
Travelling fronts for correlated random walks. Zbl 0802.60065
1994
Least-squares problems for Michaelis-Menten kinetics. Zbl 1114.92035
Hadeler, K. P.; Jukić, Dragan; Sabo, Kristian
2007
On the theory of lateral inhibition. Zbl 0276.92014
1974
The Langevin or Kramers approach to biological modeling. Zbl 1057.92012
Hadeler, Karl P.; Hillen, Thomas; Lutscher, Frithjof
2004
Vaccination in age structured populations. II: Optimal strategies. Zbl 0897.92030
1996
Hyperbolic travelling fronts. Zbl 0726.35057
1988
Homogeneous models for sexually transmitted diseases. Zbl 0733.92020
1990
Hyperbolic systems and transport equations in mathematical biology. Zbl 1087.92002
2005
State-dependent neutral delay equations from population dynamics. Zbl 1308.34106
Barbarossa, M. V.; Hadeler, K. P.; Kuttler, C.
2014
Stable polymorphisms in a selection model with mutation. Zbl 0443.34028
1980
Einschließungssätze bei normalen und bei positiven Operatoren. Zbl 0151.20101
1966
Stationary solutions of reaction-diffusion equations. Zbl 0424.35047
Hadeler, K. P.; Rothe, F.; Vogt, H.
1979
Nonhomogeneous spatial distributions of populations. Zbl 0315.92012
Hadeler, K. P.; an der Heiden, Uwe; Rothe, F.
1974
Optimal harvesting and optimal vaccination. Zbl 1114.92066
2007
Monotone flows and order intervals. Zbl 0803.65076
1994
Über Operatorgleichungen mit nicht linear auftretendem Parameter. Zbl 0155.19103
1967
Existenz- und Eindeutigkeitssätze für inverse Eigenwertaufgaben mit Hilfe des topologischen Abbildungsgrades. (Existence and uniqueness theorems for inverse eigenvalue problem by means of the topological mapping degree). Zbl 0223.15005
1971
Structured populations with diffusion in state space. Zbl 1184.92039
2010
Pair formation. Zbl 1252.92047
2012
Coupled dynamics and quiescent phases. Zbl 1127.37025
2007
Topics in mathematical biology. Zbl 1382.92003
2017
On the stability of the stationary state of a population growth equation with time-lag. Zbl 0351.92019
1976
Nonlinear diffusion equations in biology. Zbl 0354.65058
1976
Parameter identification in epidemic models. Zbl 1208.92067
2011
Quiescent phases and stability. Zbl 1139.34038
2008
Diffusion in Fisher’s population model. Zbl 0445.35061
1981
Generation of the nervous impulse and periodic oscillations. Zbl 0352.92006
Hadeler, K. P.; an der Heiden, Uwe; Schumacher, K.
1976
Vaccination in age structured populations. I: The reproduction number. Zbl 0897.92029
1996
Ticks and tick-borne diseases: a vector-host interaction model for the brown ear tick (Rhipicephalus appendiculatus). Zbl 1121.62643
Mwambi, H. G.; Baumgärtner, Johann; Hadeler, K. P.
2000
An apparent paradox of horizontal and vertical disease transmission. Zbl 1140.92019
Faeth, Stanley H.; Hadeler, Karl P.; Thieme, Horst R.
2007
Where to put delays in population models, in particular in the neutral case. Zbl 1089.34065
2003
Reaction telegraph equations and random walk systems. Zbl 1112.35334
1996
Delay equations in biology. Zbl 0412.92006
1979
Qualitative behaviour of some simple networks. Zbl 0902.68155
1996
Newton-Verfahren für inverse Eigenwertaufgaben. Zbl 0167.45304
1968
A Lotka-McKendrick model for a population structured by the level of parasitic infection. Zbl 0659.92015
Waldstätter, R.; Hadeler, K. P.; Greiner, G.
1988
Neutral delay equations from and for population dynamics. Zbl 1211.34097
2008
Homogeneous systems with a quiescent phase. Zbl 1337.92058
2008
Biological modeling with quiescent phases. Zbl 1179.92001
Hadeler, Karl P.; Hillen, Thomas; Lewis, Mark A.
2010
Stefan problem, traveling fronts, and epidemic spread. Zbl 1330.35212
2016
An integral equation for helminthic infections: Stability of the non- infected population. Zbl 0528.92021
1984
Travelling fronts in random walk systems. Zbl 1002.35502
1995
Bemerkung zu einer Arbeit von W. Wetterling über positive Operatoren. (Remarks on a work of W. Wetterling over positive operators). Zbl 0225.65067
1972
Monotone dependence of the spectral bound on the transition rates in linear compartment models. Zbl 1161.92043
Hadeler, K. P.; Thieme, H. R.
2008
Remarks on Haar systems. Zbl 0247.41013
1973
On the equilibrium states in certain selection models. Zbl 0401.92012
1974
Free boundary problems in biological models. Zbl 0525.92023
1983
Travelling fronts and free boundary value problems. Zbl 0482.35050
1982
An integral equation for helminthic infections: Global existence of solutions. Zbl 0506.92021
1983
Reaction-telegraph equations with density-dependent coefficients. Zbl 0816.35083
1994
Monotonicity of the number of passages in linear chains and of the basis reproduction number in epidemic models. Zbl 0961.92028
2000
Anwendung von Fixpunktsätzen auf nichtlineare Eigenwertaufgaben. Zbl 0181.15102
1969
Abschätzungen für den zweiten Eigenwert eines positiven Operators. Zbl 0211.16702
1970
Vaccination based control of infections in SIRS models with reinfection: special reference to pertussis. Zbl 1278.92030
Safan, Muntaser; Kretzschmar, Mirjam; Hadeler, Karl P.
2013
Quiescence stabilizes predator-prey relations. Zbl 1342.92159
2009
Deterministic models for the eradication of poliomyelitis: Vaccination with the inactivated (IPV) and attenuated (OPV) polio virus vaccine. Zbl 0824.92017
1995
Selektionsmodelle in der Populationsgenetik. Zbl 0293.92011
1973
Nonlinear propagation in reaction transport systems. Zbl 0918.35066
1999
Inverse Eigenwertprobleme. Zbl 0189.47804
1967
Quiescence, excitability, and heterogeneity in ecological models. Zbl 1258.92037
2013
Case fatality models for epidemics in growing populations. Zbl 1348.92152
Hadeler, Karl Peter; Dietz, Klaus; Safan, Muntaser
2016
Reducible ordinary differential equations. Zbl 1119.34031
2006
Integral equations for infections with discrete parasites: Hosts with Lotka birth law. Zbl 0535.92022
1984
Dynamic models for animal orientation. Zbl 0454.92006
Hadeler, K. P.; de Mottoni, P.; Schumacher, K.
1980
Dimer automata and cellular automata. Zbl 0890.58031
1996
Shadowing orbits and Kantorovich’s theorem. Zbl 0862.58017
1996
The hypercycle, traveling waves, and Wright’s equation. Zbl 0597.92016
1986
Variational principles for granular matter. Zbl 1050.35083
2003
Eigenwerteinschließung mit Lorentzkegeln. Zbl 0208.18304
1970
Topics in mathematical biology. Zbl 1382.92003
2017
Cellular automata: analysis and applications. Zbl 1382.37001
2017
Stefan problem, traveling fronts, and epidemic spread. Zbl 1330.35212
2016
Case fatality models for epidemics in growing populations. Zbl 1348.92152
Hadeler, Karl Peter; Dietz, Klaus; Safan, Muntaser
2016
Maximizing the spectral radius of a matrix product. Zbl 1307.65088
2015
State-dependent neutral delay equations from population dynamics. Zbl 1308.34106
Barbarossa, M. V.; Hadeler, K. P.; Kuttler, C.
2014
Vaccination based control of infections in SIRS models with reinfection: special reference to pertussis. Zbl 1278.92030
Safan, Muntaser; Kretzschmar, Mirjam; Hadeler, Karl P.
2013
Quiescence, excitability, and heterogeneity in ecological models. Zbl 1258.92037
2013
Pair formation. Zbl 1252.92047
2012
Granular matter and the time-dependent viscous eikonal equation. Zbl 1245.74043
2012
Quiescent phases with distributed exit times. Zbl 1255.34064
2012
Parameter identification in epidemic models. Zbl 1208.92067
2011
A transport equation model and diffusion approximation for the walk of whirligig beetles. Zbl 1225.92062
2011
Structured populations with diffusion in state space. Zbl 1184.92039
2010
Biological modeling with quiescent phases. Zbl 1179.92001
Hadeler, Karl P.; Hillen, Thomas; Lewis, Mark A.
2010
The random walk of Azospirillum brasilense. Zbl 1315.92014
2010
Quiescence stabilizes predator-prey relations. Zbl 1342.92159
2009
Quiescent phases and stability. Zbl 1139.34038
2008
Neutral delay equations from and for population dynamics. Zbl 1211.34097
2008
Homogeneous systems with a quiescent phase. Zbl 1337.92058
2008
Monotone dependence of the spectral bound on the transition rates in linear compartment models. Zbl 1161.92043
Hadeler, K. P.; Thieme, H. R.
2008
Interaction of diffusion and delay. Zbl 1128.92001
2007
Least-squares problems for Michaelis-Menten kinetics. Zbl 1114.92035
Hadeler, K. P.; Jukić, Dragan; Sabo, Kristian
2007
Optimal harvesting and optimal vaccination. Zbl 1114.92066
2007
Coupled dynamics and quiescent phases. Zbl 1127.37025
2007
An apparent paradox of horizontal and vertical disease transmission. Zbl 1140.92019
Faeth, Stanley H.; Hadeler, Karl P.; Thieme, Horst R.
2007
Reducible ordinary differential equations. Zbl 1119.34031
2006
Hyperbolic systems and transport equations in mathematical biology. Zbl 1087.92002
2005
The Langevin or Kramers approach to biological modeling. Zbl 1057.92012
Hadeler, Karl P.; Hillen, Thomas; Lutscher, Frithjof
2004
Where to put delays in population models, in particular in the neutral case. Zbl 1089.34065
2003
Variational principles for granular matter. Zbl 1050.35083
2003
Spatial dynamics of the diffusive logistic equation with a sedentary compartment. Zbl 1065.35141
Hadeler, K. P.; Lewis, M. A.
2002
Dynamical systems of population dynamics. Zbl 0996.92030
2001
Structured population models, conservation laws, and delay equations. Zbl 0972.34059
2000
Ticks and tick-borne diseases: a vector-host interaction model for the brown ear tick (Rhipicephalus appendiculatus). Zbl 1121.62643
Mwambi, H. G.; Baumgärtner, Johann; Hadeler, K. P.
2000
Monotonicity of the number of passages in linear chains and of the basis reproduction number in epidemic models. Zbl 0961.92028
2000
Reaction transport systems in biological modelling. Zbl 1002.92506
1999
Nonlinear propagation in reaction transport systems. Zbl 0918.35066
1999
On the case of Kovalevskaya and new examples of integrable conservative systems on $$S^2$$. Zbl 1012.37037
Hadeler, K. P.; Selivanova, E. N.
1999
Existence of periodic solutions for delay differential equations with state dependent delay. Zbl 0913.34057
Arino, D.; Hadeler, K. P.; Hbid, M. L.
1998
Model of plasmid-bearing, plasmid-free competition in the chemostat with nutrient recycling and an inhibitor. Zbl 0930.92029
1998
Backward bifurcation in epidemic control. Zbl 0904.92031
Hadeler, K. P.; van den Driessche, P.
1997
Spatial epidemic spread by correlated random walk with slow infectives. Zbl 0896.34040
1997
Global stability of competition models in the chemostat. Zbl 0918.92024
Lu, Zhiqi; Zhang, Peiqu; Hadeler, K. P.
1997
Vaccination in age structured populations. II: Optimal strategies. Zbl 0897.92030
1996
Vaccination in age structured populations. I: The reproduction number. Zbl 0897.92029
1996
Reaction telegraph equations and random walk systems. Zbl 1112.35334
1996
Qualitative behaviour of some simple networks. Zbl 0902.68155
1996
Dimer automata and cellular automata. Zbl 0890.58031
1996
Shadowing orbits and Kantorovich’s theorem. Zbl 0862.58017
1996
Travelling epidemic waves and correlated random walks. Zbl 0923.34020
1996
Stochastic models for the eradication of poliomyelitis: Minimum population size for polio virus persistence. Zbl 1076.92500
Eichner, M.; Hadeler, K. P.; Dietz, K.
1996
A core group model for disease transmission. Zbl 0832.92021
1995
Travelling fronts in random walk systems. Zbl 1002.35502
1995
Deterministic models for the eradication of poliomyelitis: Vaccination with the inactivated (IPV) and attenuated (OPV) polio virus vaccine. Zbl 0824.92017
1995
Mathematical demography and epidemiology. (Mathematische Demographie und Epidemiologie.) Zbl 0877.92025
1995
Travelling fronts for correlated random walks. Zbl 0802.60065
1994
Monotone flows and order intervals. Zbl 0803.65076
1994
Reaction-telegraph equations with density-dependent coefficients. Zbl 0816.35083
1994
Periodic wave trains from Hopf bifurcation. Zbl 0809.34053
1994
Pair formation models with maturation period. Zbl 0808.92024
1993
Periodic solutions of homogeneous equations. Zbl 0747.34030
1992
Homogeneous models in mathematical biology. Zbl 0825.92007
1991
Demography and epidemics. Zbl 0751.92012
Busenberg, Stavros N.; Hadeler, K. P.
1990
The discrete Rosenzweig model. Zbl 0694.92014
1990
Homogeneous models for sexually transmitted diseases. Zbl 0733.92020
1990
Game of cards, dynamical systems, and a characterization of the floor and ceiling functions. Zbl 0724.58036
1990
Predator-prey populations with parasitic infection. Zbl 0716.92021
Hadeler, K. P.; Freedman, H. I.
1989
Pair formation in age-structured populations. Zbl 0667.92013
1989
Epidemiological models for sexually transmitted diseases. Zbl 0643.92015
1988
Models for pair formation in bisexual populations. Zbl 0714.92018
Hadeler, K. P.; Waldstätter, R.; Wörz-Busekros, A.
1988
Hyperbolic travelling fronts. Zbl 0726.35057
1988
A Lotka-McKendrick model for a population structured by the level of parasitic infection. Zbl 0659.92015
Waldstätter, R.; Hadeler, K. P.; Greiner, G.
1988
Dynamics of parasitic infections and of sexually transmitted diseases. Zbl 0663.92011
1988
Stationary states of the Hartline-Ratliff model. Zbl 0643.92009
1987
Two comments on nonlinear Schrödinger equations. Zbl 0639.35014
1987
Traveling fronts in parabolic and hyperbolic equations. Zbl 0664.35046
1987
The hypercycle, traveling waves, and Wright’s equation. Zbl 0597.92016
1986
Birth and death processes with killing and applications to parasitic infections. Zbl 0596.92019
1986
Models for endemic diseases. Zbl 0567.92015
1985
Vector models for infectious diseases. Zbl 0572.92024
1985
Population dynamics of killing parasites which reproduce in the host. Zbl 0554.92015
1984
An integral equation for helminthic infections: Stability of the non- infected population. Zbl 0528.92021
1984
Integral equations for infections with discrete parasites: Hosts with Lotka birth law. Zbl 0535.92022
1984
Convergence to equilibrium in the classical model of population genetics. Zbl 0539.92014
1984
Hysteresis in a model for parasitic infection. Zbl 0554.92014
1984
Spread and age structure in epidemic models. Zbl 0567.92016
1984
On copositive matrices. Zbl 0506.15016
1983
Nonlinear hyperbolic partial differential equations for the dynamics of parasite populations. Zbl 0518.92021
1983
Quasimonotone systems and convergence to equilibrium in a population genetic model. Zbl 0515.92012
1983
Free boundary problems in biological models. Zbl 0525.92023
1983
An integral equation for helminthic infections: Global existence of solutions. Zbl 0506.92021
1983
Travelling fronts and free boundary value problems. Zbl 0482.35050
1982
Diffusion in Fisher’s population model. Zbl 0445.35061
1981
On the roots of Cauchy polynomials. Zbl 0443.15010
1981
Effective computation of periodic orbits and bifurcation diagrams in delay equations. Zbl 0419.34070
1980
Stable polymorphisms in a selection model with mutation. Zbl 0443.34028
1980
Dynamic models for animal orientation. Zbl 0454.92006
Hadeler, K. P.; de Mottoni, P.; Schumacher, K.
1980
Stationary solutions of reaction-diffusion equations. Zbl 0424.35047
Hadeler, K. P.; Rothe, F.; Vogt, H.
1979
Delay equations in biology. Zbl 0412.92006
1979
...and 35 more Documents
all top 5

#### Cited by 1,822 Authors

 52 Hadeler, Karl-Peter 25 Chattopadhyay, Joydev 22 Castillo-Chavez, Carlos 22 Thieme, Horst R. 20 Venturino, Ezio 13 Feng, Zhilan 13 Martcheva, Maia 13 Milner, Fabio Augusto 13 Samanta, Sudip K. 12 Dietz, Klaus 11 Diekmann, Odo 11 Haque, Mainul 10 Das, Krishnapada 10 Petković, Miodrag S. 10 Smith, Hal Leslie 10 Wei, Junjie 9 Bomze, Immanuel M. 9 Hamel, François 9 Peng, Mingshu 9 Ruan, Shigui 9 Wu, Jianhong 8 an der Heiden, Uwe 8 Gumel, Abba B. 8 Jukić, Dragan 8 Macías-Díaz, Jorge Eduardo 8 Müller, Johannes 7 Ahmad, Bashir 7 Bhattacharyya, Rakhi 7 Kang, Yun 7 Kribs-Zaleta, Christopher M. 7 Lutscher, Frithjof 7 Mallet-Paret, John Joseph 7 Mukhopadhyay, Banibrata 7 Shi, Junping 7 van den Driessche, Pauline 7 Yakubu, Abdul-Aziz 6 Browne, Patrick J. 6 Busenberg, Stavros N. 6 Chatterjee, Samrat 6 Freedman, Herbert Irving 6 Greenhalgh, David 6 Hethcote, Herbert W. 6 Jiang, Daqing 6 Jin, Zhen 6 Marek, Ivo 6 Maxin, Daniel 6 Safan, Muntaser 6 Walther, Hans-Otto 6 Zhao, Xiao-Qiang 5 Allen, Linda J. S. 5 Arino, Ovide 5 Bairagi, Nandadulal 5 Banerjee, Malay 5 Berestycki, Henri 5 Biswas, Santanu 5 Dormayer, Peter 5 Hbid, Moulay Lhassan 5 Hilker, Frank M. 5 Hillen, Thomas 5 Inaba, Hisashi 5 Li, Wan-Tong 5 Li, Xuezhi 5 Mode, Charles J. 5 Nussbaum, Roger David 5 Puri, Ashok 5 Rothe, Franz 5 Sasmal, Sourav Kumar 5 Scitovski, Rudolf 5 Shukla, Jang Bahadur 5 Skakauskas, Vladas 5 Sleeman, Brian D. 5 Trofimchuk, Sergei I. 5 Voss, Heinrich 5 Waltman, Paul Elvis 5 Wang, Haiyan 5 Wang, Wendi 5 Xiao, Dongmei 5 Zhu, Huaiping 4 Bauch, Chris T. 4 Berec, Luděk 4 Binding, Paul Anthony 4 Biswas, Santosh 4 Bravo de la Parra, Rafael 4 Buonomo, Bruno 4 Calvez, Vincent 4 Chen, Lansun 4 Chen, Shanshan 4 Chowell, Gerardo 4 Engelborghs, Koen 4 Farkas, József Zoltán 4 Gao, Shujing 4 Giletti, Thomas 4 Hbid, My Lhassan 4 He, Zerong 4 Khan, Qamar Jalil Ahmed 4 King, John Robert 4 Kuang, Yang 4 Länger, Helmut M. 4 Lewis, Mark Alun 4 Liu, Xianning ...and 1,722 more Authors
all top 5

#### Cited in 245 Serials

 122 Mathematical Biosciences 113 Journal of Mathematical Biology 49 Journal of Differential Equations 47 Journal of Mathematical Analysis and Applications 45 Nonlinear Analysis. Real World Applications 43 Linear Algebra and its Applications 42 Journal of Theoretical Biology 40 Applied Mathematics and Computation 38 Bulletin of Mathematical Biology 36 Theoretical Population Biology 27 Journal of Biological Dynamics 26 Discrete and Continuous Dynamical Systems. Series B 25 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 19 Computers & Mathematics with Applications 19 Mathematical Methods in the Applied Sciences 19 Journal of Computational and Applied Mathematics 19 Mathematical and Computer Modelling 18 Chaos, Solitons and Fractals 17 Biological Cybernetics 17 Journal of Dynamics and Differential Equations 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Numerische Mathematik 15 Journal of Biological Systems 15 International Journal of Biomathematics 15 Nonlinear Analysis. Theory, Methods & Applications 13 Archive for Rational Mechanics and Analysis 13 Computing 12 Applied Mathematical Modelling 12 Advances in Difference Equations 12 Mathematical Modelling of Natural Phenomena 11 Physica D 11 Mathematical Biosciences and Engineering 10 International Journal of Computer Mathematics 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 9 Journal of Applied Mathematics and Computing 8 Acta Applicandae Mathematicae 7 Journal of Functional Analysis 7 Applied Numerical Mathematics 7 Journal of Difference Equations and Applications 7 Differential Equations and Dynamical Systems 7 Nonlinear Dynamics 7 Abstract and Applied Analysis 6 Nonlinearity 6 Rocky Mountain Journal of Mathematics 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 SIAM Journal on Applied Mathematics 6 Mathematical Population Studies 6 Chaos 5 Applicable Analysis 5 Archiv der Mathematik 5 Journal of Optimization Theory and Applications 5 Mathematische Zeitschrift 5 Applied Mathematics Letters 5 Neural Computation 5 Communications in Partial Differential Equations 5 Journal of Mathematical Sciences (New York) 5 Discrete and Continuous Dynamical Systems 5 Discrete Dynamics in Nature and Society 5 Communications in Nonlinear Science and Numerical Simulation 5 Nonlinear Analysis. Hybrid Systems 4 Physica A 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Journal of Soviet Mathematics 4 Manuscripta Mathematica 4 Mathematics and Computers in Simulation 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Results in Mathematics 4 SIAM Journal on Mathematical Analysis 4 Journal of Nonlinear Science 3 Journal of Computational Physics 3 Journal of the Franklin Institute 3 Lithuanian Mathematical Journal 3 Aplikace Matematiky 3 Applied Mathematics and Optimization 3 Blätter (Deutsche Gesellschaft für Versicherungsmathematik) 3 Journal of Approximation Theory 3 Acta Mathematicae Applicatae Sinica. English Series 3 Numerical Algorithms 3 Computational and Applied Mathematics 3 Mathematical Problems in Engineering 3 Mathematical and Computer Modelling of Dynamical Systems 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Dynamical Systems 3 Journal of Applied Mathematics 3 SIAM Journal on Applied Dynamical Systems 3 Discrete and Continuous Dynamical Systems. Series S 3 Journal of Applied Analysis and Computation 2 Advances in Applied Probability 2 Communications on Pure and Applied Mathematics 2 Linear and Multilinear Algebra 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Ukrainian Mathematical Journal 2 Mathematics of Computation 2 Integral Equations and Operator Theory 2 Journal of Applied Probability 2 Proceedings of the American Mathematical Society 2 Siberian Mathematical Journal 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Computer Aided Geometric Design 2 Journal of Symbolic Computation ...and 145 more Serials
all top 5

#### Cited in 48 Fields

 891 Biology and other natural sciences (92-XX) 501 Ordinary differential equations (34-XX) 350 Partial differential equations (35-XX) 179 Numerical analysis (65-XX) 167 Dynamical systems and ergodic theory (37-XX) 75 Operator theory (47-XX) 68 Probability theory and stochastic processes (60-XX) 64 Linear and multilinear algebra; matrix theory (15-XX) 55 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 51 Integral equations (45-XX) 47 Systems theory; control (93-XX) 37 Difference and functional equations (39-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 25 Operations research, mathematical programming (90-XX) 24 Statistics (62-XX) 22 Functions of a complex variable (30-XX) 18 Field theory and polynomials (12-XX) 16 Computer science (68-XX) 14 Real functions (26-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Approximations and expansions (41-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Mechanics of deformable solids (74-XX) 7 Mechanics of particles and systems (70-XX) 7 Fluid mechanics (76-XX) 6 Combinatorics (05-XX) 6 Functional analysis (46-XX) 5 General and overarching topics; collections (00-XX) 5 Quantum theory (81-XX) 4 History and biography (01-XX) 4 General topology (54-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Group theory and generalizations (20-XX) 3 Algebraic topology (55-XX) 3 Information and communication theory, circuits (94-XX) 2 Measure and integration (28-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX)

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