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Author ID: thieme.horst-r Recent zbMATH articles by "Thieme, Horst R."
Published as: Thieme, Horst R.; Thieme, H. R.; Thieme, Horst; Thieme, H.
Homepage: https://math.la.asu.edu/~thieme/
External Links: MGP · dblp · GND
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Serials

19 Journal of Mathematical Biology
9 Discrete and Continuous Dynamical Systems. Series B
8 SIAM Journal on Applied Mathematics
7 Mathematical Biosciences
6 Journal of Differential Equations
6 Differential and Integral Equations
5 SIAM Journal on Mathematical Analysis
4 Journal of Biological Dynamics
3 Journal of Mathematical Analysis and Applications
3 Journal of Dynamics and Differential Equations
3 Discrete and Continuous Dynamical Systems
3 Positivity
3 Natural Resource Modeling
3 Mathematical Biosciences and Engineering
2 Rocky Mountain Journal of Mathematics
2 Bulletin of Mathematical Biology
2 Journal für die Reine und Angewandte Mathematik
2 Manuscripta Mathematica
2 Semigroup Forum
2 Journal of Integral Equations
2 Advances in Mathematical Sciences and Applications
2 Mathematical Modelling of Natural Phenomena
1 Computers & Mathematics with Applications
1 Hiroshima Mathematical Journal
1 Mathematische Annalen
1 Mathematics and Computers in Simulation
1 Mathematische Zeitschrift
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the American Mathematical Society
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Transactions of the American Mathematical Society
1 Applied Numerical Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Computers and Mathematics with Applications. Part A
1 The Canadian Applied Mathematics Quarterly
1 Electronic Journal of Differential Equations (EJDE)
1 Vietnam Journal of Mathematics
1 Nonlinear Analysis. Real World Applications
1 Journal of Evolution Equations
1 Communications on Pure and Applied Analysis
1 Graduate Studies in Mathematics
1 Lecture Notes in Biomathematics
1 Networks and Heterogeneous Media

Publications by Year

Citations contained in zbMATH Open

132 Publications have been cited 4,646 times in 2,809 Documents Cited by Year
Mathematics in population biology. Zbl 1054.92042
Thieme, Horst R.
455
2003
The dynamics of physiologically structured populations. Zbl 0614.92014
373
1986
Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations. Zbl 0761.34039
Thieme, Horst R.
288
1992
Persistence under relaxed point-dissipativity (with application to an endemic model). Zbl 0774.34030
Thieme, Horst R.
281
1993
Spectral bound and reproduction number for infinite-dimensional population structure and time heterogeneity. Zbl 1191.47089
Thieme, Horst R.
205
2009
Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction–diffusion models. Zbl 1045.45009
Thieme, Horst R.; Zhao, Xiao-Qiang
193
2003
Dynamical systems and population persistence. Zbl 1214.37002
Smith, Hal L.; Thieme, Horst R.
193
2011
Uniform persistence and permanence for non-autonomous semiflows in population biology. Zbl 0970.37061
Thieme, Horst R.
137
2000
Semiflows generated by Lipschitz perturbations of non-densely defined operators. Zbl 0734.34059
Thieme, Horst R.
133
1990
A competitive exclusion principle for pathogen virulence. Zbl 0715.92027
Bremermann, H. J.; Thieme, H. R.
108
1989
How may infection-age-dependent infectivity affect the dynamics of HIV/AIDS? Zbl 0811.92021
Thieme, Horst R.; Castillo-Chavez, Carlos
108
1993
Asymptotically autonomous semiflows: Chain recurrence and Lyapunov functions. Zbl 0829.34037
Mischaikow, Konstantin; Smith, Hal; Thieme, Horst R.
98
1995
On the stability of the cell size distribution. Zbl 0543.92021
Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R.
96
1984
“Integrated semigroups” and integrated solutions to abstract Cauchy problems. Zbl 0738.47037
Thieme, Horst R.
85
1990
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.
84
1998
A non-local delayed and diffusive predator-prey model. Zbl 1113.92319
Thieme, Horst R.; Zhao, Xiao-Qiang
75
2001
Progression age enhanced backward bifurcation in an epidemic model with super-infection. Zbl 1097.92046
Martcheva, Maia; Thieme, Horst R.
73
2003
A model for the spatial spread of an epidemic. Zbl 0373.92031
Thieme, H. R.
73
1977
Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations. Zbl 0395.45010
Thieme, Horst R.
70
1979
Asymptotically autonomous differential equations in the plane. Zbl 0811.34036
Thieme, Horst R.
66
1994
Stability of the endemic equilibrium in epidemic models with subpopulations. Zbl 0582.92024
Hethcote, Herbert W.; Thieme, Horst R.
64
1985
Density-dependent regulation of spatially distributed populations and their asymptotic speed of spread. Zbl 0417.92022
Thieme, Horst R.
63
1979
Global behavior of an age-structured epidemic model. Zbl 0741.92015
Busenberg, Stavros N.; Iannelli, Mimmo; Thieme, Horst R.
63
1991
Strongly order preserving semiflows generated by functional differential equations. Zbl 0735.34065
Smith, Hal L.; Thieme, Horst R.
62
1991
Endemic models with arbitrarily distributed periods of infection. I: Fundamental properties of the model. Zbl 0991.92028
Feng, Zhilan; Thieme, Horst R.
51
2000
Epidemic and demographic interaction in the spread of potentially fatal diseases in growing populations. Zbl 0782.92018
Thieme, Horst R.
48
1992
Recurrent outbreaks of childhood diseases revisited: The impact of isolation. Zbl 0833.92017
Feng, Zhilan; Thieme, Horst R.
45
1995
Uniform weak implies uniform strong persistence for nonautonomous semiflows. Zbl 0918.34053
Thieme, Horst R.
42
1999
Convergence for strongly order-preserving semiflows. Zbl 0739.34040
Smith, Hal L.; Thieme, Horst R.
40
1991
Species decline and extinction: synergy of infectious disease and Allee effect? Zbl 1342.92206
Thieme, Horst R.; Dhirasakdanon, Thanate; Han, Zhun; Trevino, Roy
35
2009
Perturbation theory for dual semigroups. I. The sun-reflexive case. Zbl 0634.47039
Clément, Ph.; Diekmann, O.; Gyllenberg, M.; Heijmans, H. J. A. M.; Thieme, H. R.
33
1987
Global stability of the endemic equilibrium in infinite dimension: Lyapunov functions and positive operators. Zbl 1215.37052
Thieme, Horst R.
32
2011
Quasi-compact semigroups via bounded perturbation. Zbl 0945.47033
Thieme, Horst R.
31
1997
Quasi convergence and stability for strongly order-preserving semiflows. Zbl 0704.34054
Smith, Hal L.; Thieme, Horst R.
31
1990
Eventual compactness for semiflows generated by nonlinear age-structured models. Zbl 1083.47061
Magal, P.; Thieme, H. R.
30
2004
Multiparametric bifurcation analysis of a basic two-stage population model. Zbl 1106.34030
Baer, S. M.; Kooi, B. W.; Kuznetsov, Yu. A.; Thieme, H. R.
29
2006
Monotone semiflows in scalar non-quasi-monotone functional differential equations. Zbl 0719.34123
Smith, Hal L.; Thieme, Horst R.
27
1990
Renewal theorems for linear periodic Volterra integral equations. Zbl 0566.45016
Thieme, Horst R.
26
1984
Stable coexistence and bi-stability for competitive systems on ordered Banach spaces. Zbl 1064.47075
Smith, H. L.; Thieme, H. R.
24
2001
On the role of variable infectivity in the dynamics of the human immunodeficiency virus epidemic. Zbl 0687.92009
Thieme, Horst R.; Castillo-Chavez, Carlos
24
1989
Endemic models with arbitrarily distributed periods of infection. II: Fast disease dynamics and permanent recovery. Zbl 1016.92035
Feng, Zhilan; Thieme, Horst R.
24
2000
Well-posedness of physiologically structured population models for Daphnia magna. How biological concepts can benefit by abstract mathematical analysis. Zbl 0713.92020
Thieme, H. R.
22
1988
Rate distributions and survival of the fittest: a formulation on the space of measures. Zbl 1078.92055
Ackleh, Azmy S.; Fitzpatrick, Ben G.; Thieme, Horst R.
19
2005
Stability change of the endemic equilibrium in age-structured models for the spread of S-I-R type infectious diseases. Zbl 0748.92013
Thieme, Horst R.
19
1991
Perturbation theory for dual semigroups. II: Time-dependent perturbations in the sun-reflexive case. Zbl 0661.47015
Clément, Ph.; Diekmann, O.; Gyllenberg, M.; Heijmans, H. J. A. M.; Thieme, H. R.
19
1988
Delay differential systems for tick population dynamics. Zbl 1355.92087
Fan, Guihong; Thieme, Horst R.; Zhu, Huaiping
18
2015
Differentiability of convolutions, integrated semigroups of bounded semi-variation, and the inhomogeneous Cauchy problem. Zbl 1157.45007
Thieme, Horst R.
18
2008
Dynamics of an age structured epidemic model. Zbl 0943.92502
Busenberg, Stavros; Iannelli, Mimmo; Thieme, Horst
18
1993
Balanced exponential growth of operator semigroups. Zbl 0943.47032
Thieme, Horst R.
16
1998
On a class of Hammerstein integral equations. Zbl 0417.45003
Thieme, Horst R.
15
1979
Remarks on resolvent positive operators and their perturbation. Zbl 0962.47017
Thieme, Horst R.
15
1998
Positive perturbation of operator semigroups: Growth bounds, essential compactness, and asynchronous exponential growth. Zbl 0988.47024
Thieme, Horst R.
15
1998
Persistence and global stability for a class of discrete time structured population models. Zbl 1306.37099
Smith, Hal L.; Thieme, Horst R.
14
2013
Stochastic semigroups: their construction by perturbation and approximation. Zbl 1113.47029
Thieme, H. R.; Voigt, J.
14
2006
Perturbing semigroups by solving Stieltjes renewal equations. Zbl 0770.47012
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
13
1993
An endemic model with variable re-infection rate and applications to influenza. Zbl 1020.92028
Thieme, Horst R.; Yang, Jinling
12
2002
Demographic change and persistence of HIV/AIDS in a heterogeneous population. Zbl 0739.92014
Busenberg, Stavros; Cooke, Kenneth; Thieme, Horst
12
1991
On the stability of the cell-size distribution. II. Time-periodic development rates. Zbl 0667.92015
Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R.
12
1986
Persistence and critical domain size for diffusing populations with two sexes and short reproductive season. Zbl 1369.92097
Jin, Wen; Smith, Hal L.; Thieme, Horst R.
12
2016
Persistence of bacteria and phages in a chemostat. Zbl 1303.92123
Smith, Hal L.; Thieme, Horst R.
11
2012
The “cumulative” formulation of (physiologically) structured population models. Zbl 0795.92021
Diekmann, O.; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst
11
1993
Eigenfunctionals of homogeneous order-preserving maps with applications to sexually reproducing populations. Zbl 1478.47037
Thieme, Horst R.
11
2016
Markov transition functions and semigroups of measures. Zbl 1146.47030
Lant, Timothy; Thieme, Horst R.
11
2007
Persistence and extinction of diffusing populations with two sexes and short reproductive season. Zbl 1305.92062
Thieme, Horst R.; Jin, Wen
10
2014
A sharp threshold for disease persistence in host metapopulations. Zbl 1284.92100
Dhirasakdanon, Thanate; Thieme, Horst R.; van den Driessche, Pauline
10
2007
Spectral radii and Collatz-Wielandt numbers for homogeneous order-preserving maps and the monotone companion norm. Zbl 1411.47012
Thieme, Horst R.
10
2016
An extinction/persistence threshold for sexually reproducing populations: the cone spectral radius. Zbl 1327.39012
Jin, Wen; Thieme, Horst
10
2016
Chemostats and epidemics: competition for nutrients/hosts. Zbl 1273.92039
Smith, Hal L.; Thieme, Horst R.
9
2013
Global stability in cyclic epidemic models with disease fatalities. Zbl 0924.92018
Thieme, Horst R.; van den Driessche, P.
8
1999
Lack of uniqueness in transport equations with a nonlocal nonlinearity. Zbl 1012.45007
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
8
2000
Relatively compact orbits and compact attractors for a class of nonlinear evolution equations. Zbl 1055.34119
Thieme, Horst R.; Vrabie, Ioan I.
8
2003
Persistence versus extinction for a class of discrete-time structured population models. Zbl 1347.37126
Jin, Wen; Smith, Hal L.; Thieme, Horst R.
8
2016
From homogeneous eigenvalue problems to two-sex population dynamics. Zbl 06788720
Thieme, Horst R.
8
2017
Stability and persistence in a model for bluetongue dynamics. Zbl 1231.34147
Gourley, Stephen A.; Thieme, Horst R.; van den Driessche, P.
7
2011
A Hille-Yosida theorem for a class of weakly \({}^*\) continuous semigroups. Zbl 0727.47025
Clément, Ph.; Dieckmann, O.; Gyllenberg, M.; Heijmans, H. J. A. M.; Thieme, H. R.
7
1989
Analysis of age-structured population models with an additional structure. Zbl 0748.92009
Thieme, Horst R.
7
1991
An apparent paradox of horizontal and vertical disease transmission. Zbl 1140.92019
Faeth, Stanley H.; Hadeler, Karl P.; Thieme, Horst R.
7
2007
Stability and persistence in ODE models for populations with many stages. Zbl 1369.92095
Fan, Guihong; Lou, Yijun; Thieme, Horst R.; Wu, Jianhong
7
2015
Measures under the flat norm as ordered normed vector space. Zbl 1390.28004
Gwiazda, Piotr; Marciniak-Czochra, Anna; Thieme, Horst R.
6
2018
Positive perturbations of dual and integrated semigroups. Zbl 0860.47027
Thieme, Horst R.
6
1996
Disease extinction and disease persistence in age structured epidemic models. Zbl 1042.92513
Thieme, Horst R.
6
2001
The asymptotic behaviour of solutions of nonlinear integral equations. Zbl 0348.45019
Thieme, Horst R.
6
1977
Balanced exponential growth for perturbed operator semigroups. Zbl 0999.47026
Thieme, Horst R.
6
2000
Renewal theorems for some mathematical models in epidemiology. Zbl 0565.92020
Thieme, Horst R.
6
1985
Asymptotic proportionality (weak ergodicity) and conditional asymptotic equality of solutions to time-heterogeneous sublinear difference and differential equations. Zbl 0652.34081
Thieme, Horst R.
6
1988
An epidemic model with post-contact prophylaxis of distributed length. II: Stability and oscillations if treatment is fully effective. Zbl 1337.34076
Thieme, H. R.; Tridane, A.; Kuang, Y.
6
2008
Perturbation theory for dual semigroups. IV: The intertwining formula and the canonical pairing. Zbl 0699.47028
Clément, Philippe; Diekmann, Odo; Gyllenberg, Mats; Heijmans, H. J. A. M.; Thieme, H. R.
5
1989
Times from infection to disease-induced death and their influence on final population sizes after epidemic outbreaks. Zbl 1396.92082
Farrell, Alex P.; Collins, James P.; Greer, Amy L.; Thieme, Horst R.
5
2018
A metapopulation model with discrete size structure. Zbl 1128.92050
Martcheva, Maia; Thieme, Horst R.
5
2005
Perturbation theory for dual semigroups. V: Variation of constants formulas. Zbl 0746.47019
Diekmann, O.; Gyllenberg, M.; Thieme, H. R.
5
1991
Monotone dependence of the spectral bound on the transition rates in linear compartment models. Zbl 1161.92043
Hadeler, K. P.; Thieme, H. R.
5
2008
Perturbation theory for dual semigroups. III: Nonlinear Lipschitz continuous perturbations in the sunreflexive. Zbl 0675.47036
Clément, Ph.; Diekmann, O.; Gyllenberg, M.; Heijmans, H. J. A. M.; Thieme, H. R.
5
1989
Do fatal infectious diseases eradicate host species? Zbl 1404.92181
Farrell, Alex P.; Collins, James P.; Greer, Amy L.; Thieme, Horst R.
5
2018
Population dynamics under selection and mutation: long-time behavior for differential equations in measure spaces. Zbl 1338.92093
Ackleh, Azmy S.; Cleveland, John; Thieme, Horst R.
5
2016
Perturbing evolutionary systems by step responses and cumulative outputs. Zbl 0834.47043
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
4
1995
An epidemic model with post-contact prophylaxis of distributed length I. Thresholds for disease persistence and extinction. Zbl 1140.92023
Thieme, Horst R.; Tridane, Abdessamad; Kuang, Yang
4
2008
Global asymptotic stability in epidemic models. Zbl 0533.92023
Thieme, Horst R.
4
1983
Some theoretical and numerical aspects of modelling dispersion in the development of ectotherms. Zbl 0661.92022
Schuhmacher, K.; Thieme, H.
4
1988
On spread of phage infection of bacteria in a Petri dish. Zbl 1243.92041
Jones, Don A.; Smith, Hal L.; Thieme, Horst R.; Röst, Gergely
4
2012
On the complex formation approach in modeling predator prey relations, mating, and sexual disease transmission. Zbl 0991.92023
Thieme, Horst R.; Yang, Jinling
4
2000
Discrete-time population dynamics of spatially distributed semelparous two-sex populations. Zbl 1470.92266
Thieme, Horst R.
1
2021
Discrete-time population dynamics on the state space of measures. Zbl 1470.92265
Thieme, Horst R.
3
2020
Spreading speeds of rabies with territorial and diffusing rabid foxes. Zbl 1433.92048
Alanazi, Khalaf M.; Jackiewicz, Zdzislaw; Thieme, Horst R.
2
2020
Persistent discrete-time dynamics on measures. Zbl 1471.37081
Thieme, Horst R.
1
2020
How ticks keep ticking in the adversity of host immune reactions. Zbl 1415.92205
Jennings, Rachel; Kuang, Yang; Thieme, Horst R.; Wu, Jianhong; Wu, Xiaotian
2
2019
Numerical simulations of the spread of rabies in two-dimensional space. Zbl 1404.65132
Alanazi, Khalaf M.; Jackiewicz, Zdzislaw; Thieme, Horst R.
2
2019
Measures under the flat norm as ordered normed vector space. Zbl 1390.28004
Gwiazda, Piotr; Marciniak-Czochra, Anna; Thieme, Horst R.
6
2018
Times from infection to disease-induced death and their influence on final population sizes after epidemic outbreaks. Zbl 1396.92082
Farrell, Alex P.; Collins, James P.; Greer, Amy L.; Thieme, Horst R.
5
2018
Do fatal infectious diseases eradicate host species? Zbl 1404.92181
Farrell, Alex P.; Collins, James P.; Greer, Amy L.; Thieme, Horst R.
5
2018
Correction to: “Measures under the flat norm as ordered normed vector space”. Zbl 1390.28005
Gwiazda, Piotr; Marciniak-Czochra, Anna; Thieme, Horst R.
3
2018
From homogeneous eigenvalue problems to two-sex population dynamics. Zbl 06788720
Thieme, Horst R.
8
2017
Eigenvectors of homogeneous order-bounded order-preserving maps. Zbl 06707638
Thieme, Horst R.
3
2017
Competition in the chemostat with time-dependent differential removal rates. Zbl 1372.92061
Fan, Guihong; Smith, Hal L.; Thieme, Horst R.
1
2017
Persistence and critical domain size for diffusing populations with two sexes and short reproductive season. Zbl 1369.92097
Jin, Wen; Smith, Hal L.; Thieme, Horst R.
12
2016
Eigenfunctionals of homogeneous order-preserving maps with applications to sexually reproducing populations. Zbl 1478.47037
Thieme, Horst R.
11
2016
Spectral radii and Collatz-Wielandt numbers for homogeneous order-preserving maps and the monotone companion norm. Zbl 1411.47012
Thieme, Horst R.
10
2016
An extinction/persistence threshold for sexually reproducing populations: the cone spectral radius. Zbl 1327.39012
Jin, Wen; Thieme, Horst
10
2016
Persistence versus extinction for a class of discrete-time structured population models. Zbl 1347.37126
Jin, Wen; Smith, Hal L.; Thieme, Horst R.
8
2016
Population dynamics under selection and mutation: long-time behavior for differential equations in measure spaces. Zbl 1338.92093
Ackleh, Azmy S.; Cleveland, John; Thieme, Horst R.
5
2016
Spread of phage infection of bacteria in a petri dish. Zbl 1336.92082
Jones, Don A.; Smith, Hal L.; Thieme, Horst R.
2
2016
Delay differential systems for tick population dynamics. Zbl 1355.92087
Fan, Guihong; Thieme, Horst R.; Zhu, Huaiping
18
2015
Stability and persistence in ODE models for populations with many stages. Zbl 1369.92095
Fan, Guihong; Lou, Yijun; Thieme, Horst R.; Wu, Jianhong
7
2015
Persistence and extinction of diffusing populations with two sexes and short reproductive season. Zbl 1305.92062
Thieme, Horst R.; Jin, Wen
10
2014
Uniform persistence in a model for bluetongue dynamics. Zbl 1300.34185
Gourley, Stephen A.; Röst, Gergely; Thieme, Horst R.
4
2014
Persistence and global stability for a class of discrete time structured population models. Zbl 1306.37099
Smith, Hal L.; Thieme, Horst R.
14
2013
Chemostats and epidemics: competition for nutrients/hosts. Zbl 1273.92039
Smith, Hal L.; Thieme, Horst R.
9
2013
Spread of viral infection of immobilized bacteria. Zbl 1267.92050
Jones, Don A.; Smith, Hal L.; Thieme, Horst R.
3
2013
Persistence of bacteria and phages in a chemostat. Zbl 1303.92123
Smith, Hal L.; Thieme, Horst R.
11
2012
On spread of phage infection of bacteria in a Petri dish. Zbl 1243.92041
Jones, Don A.; Smith, Hal L.; Thieme, Horst R.; Röst, Gergely
4
2012
Dynamical systems and population persistence. Zbl 1214.37002
Smith, Hal L.; Thieme, Horst R.
193
2011
Global stability of the endemic equilibrium in infinite dimension: Lyapunov functions and positive operators. Zbl 1215.37052
Thieme, Horst R.
32
2011
Stability and persistence in a model for bluetongue dynamics. Zbl 1231.34147
Gourley, Stephen A.; Thieme, Horst R.; van den Driessche, P.
7
2011
Stability of the endemic coexistence equilibrium for one host and two parasites. Zbl 1205.92063
Dhirasakdanon, T.; Thieme, H. R.
3
2010
Spectral bound and reproduction number for infinite-dimensional population structure and time heterogeneity. Zbl 1191.47089
Thieme, Horst R.
205
2009
Species decline and extinction: synergy of infectious disease and Allee effect? Zbl 1342.92206
Thieme, Horst R.; Dhirasakdanon, Thanate; Han, Zhun; Trevino, Roy
35
2009
Distributed susceptibility: a challenge to persistence theory in infectious disease models. Zbl 1179.92054
Thieme, Horst R.
2
2009
Relatively bounded extensions of generator perturbations. Zbl 1181.47048
Thieme, Horst R.; Voigt, Jürgen
1
2009
Differentiability of convolutions, integrated semigroups of bounded semi-variation, and the inhomogeneous Cauchy problem. Zbl 1157.45007
Thieme, Horst R.
18
2008
An epidemic model with post-contact prophylaxis of distributed length. II: Stability and oscillations if treatment is fully effective. Zbl 1337.34076
Thieme, H. R.; Tridane, A.; Kuang, Y.
6
2008
Monotone dependence of the spectral bound on the transition rates in linear compartment models. Zbl 1161.92043
Hadeler, K. P.; Thieme, H. R.
5
2008
An epidemic model with post-contact prophylaxis of distributed length I. Thresholds for disease persistence and extinction. Zbl 1140.92023
Thieme, Horst R.; Tridane, Abdessamad; Kuang, Yang
4
2008
Markov transition functions and semigroups of measures. Zbl 1146.47030
Lant, Timothy; Thieme, Horst R.
11
2007
A sharp threshold for disease persistence in host metapopulations. Zbl 1284.92100
Dhirasakdanon, Thanate; Thieme, Horst R.; van den Driessche, Pauline
10
2007
An apparent paradox of horizontal and vertical disease transmission. Zbl 1140.92019
Faeth, Stanley H.; Hadeler, Karl P.; Thieme, Horst R.
7
2007
Multiparametric bifurcation analysis of a basic two-stage population model. Zbl 1106.34030
Baer, S. M.; Kooi, B. W.; Kuznetsov, Yu. A.; Thieme, H. R.
29
2006
Stochastic semigroups: their construction by perturbation and approximation. Zbl 1113.47029
Thieme, H. R.; Voigt, J.
14
2006
Perturbing evolutionary systems on dual spaces by cumulative outputs. Zbl 1211.47014
Gyllenberg, Mats; Lant, Timothy; Thieme, Horst R.
2
2006
Kolmogorov’s differential equations and positive semigroups on first moment sequence spaces. Zbl 1113.92069
Martcheva, Maia; Thieme, Horst R.; Dhirasakdanon, Thanate
2
2006
Rate distributions and survival of the fittest: a formulation on the space of measures. Zbl 1078.92055
Ackleh, Azmy S.; Fitzpatrick, Ben G.; Thieme, Horst R.
19
2005
A metapopulation model with discrete size structure. Zbl 1128.92050
Martcheva, Maia; Thieme, Horst R.
5
2005
Eventual compactness for semiflows generated by nonlinear age-structured models. Zbl 1083.47061
Magal, P.; Thieme, H. R.
30
2004
Semilinear perturbations of Hille–Yosida operators. Zbl 1073.47063
Thieme, Horst R.; Vosseler, Hauke
1
2004
Mathematics in population biology. Zbl 1054.92042
Thieme, Horst R.
455
2003
Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction–diffusion models. Zbl 1045.45009
Thieme, Horst R.; Zhao, Xiao-Qiang
193
2003
Progression age enhanced backward bifurcation in an epidemic model with super-infection. Zbl 1097.92046
Martcheva, Maia; Thieme, Horst R.
73
2003
Relatively compact orbits and compact attractors for a class of nonlinear evolution equations. Zbl 1055.34119
Thieme, Horst R.; Vrabie, Ioan I.
8
2003
Competitive dynamics in a model for onchocerciasis with cross-immunity. Zbl 1078.92038
Mopecha, Jimmy P.; Thieme, Horst R.
1
2003
An endemic model with variable re-infection rate and applications to influenza. Zbl 1020.92028
Thieme, Horst R.; Yang, Jinling
12
2002
The transition through stages with arbitrary length distributions, and applications in epidemics. Zbl 1056.92038
Thieme, Horst R.
2
2002
A Stieltjes type convolution for integrated semigroups of bounded strong variation and \(L_p\)-solutions to the abstract Cauchy problem. Zbl 1041.47029
Thieme, Horst R.; Vosseler, Hauke
1
2002
Nonlinear mating models for populations with discrete generations. Zbl 1024.92018
Castillo-Chavez, Carlos; Yakubu, Abdul-Aziz; Thieme, Horst; Martcheva, Maia
1
2002
A non-local delayed and diffusive predator-prey model. Zbl 1113.92319
Thieme, Horst R.; Zhao, Xiao-Qiang
75
2001
Stable coexistence and bi-stability for competitive systems on ordered Banach spaces. Zbl 1064.47075
Smith, H. L.; Thieme, H. R.
24
2001
Disease extinction and disease persistence in age structured epidemic models. Zbl 1042.92513
Thieme, Horst R.
6
2001
Uniform persistence and permanence for non-autonomous semiflows in population biology. Zbl 0970.37061
Thieme, Horst R.
137
2000
Endemic models with arbitrarily distributed periods of infection. I: Fundamental properties of the model. Zbl 0991.92028
Feng, Zhilan; Thieme, Horst R.
51
2000
Endemic models with arbitrarily distributed periods of infection. II: Fast disease dynamics and permanent recovery. Zbl 1016.92035
Feng, Zhilan; Thieme, Horst R.
24
2000
Lack of uniqueness in transport equations with a nonlocal nonlinearity. Zbl 1012.45007
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
8
2000
Balanced exponential growth for perturbed operator semigroups. Zbl 0999.47026
Thieme, Horst R.
6
2000
On the complex formation approach in modeling predator prey relations, mating, and sexual disease transmission. Zbl 0991.92023
Thieme, Horst R.; Yang, Jinling
4
2000
Uniform weak implies uniform strong persistence for nonautonomous semiflows. Zbl 0918.34053
Thieme, Horst R.
42
1999
Global stability in cyclic epidemic models with disease fatalities. Zbl 0924.92018
Thieme, Horst R.; van den Driessche, P.
8
1999
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.
84
1998
Balanced exponential growth of operator semigroups. Zbl 0943.47032
Thieme, Horst R.
16
1998
Remarks on resolvent positive operators and their perturbation. Zbl 0962.47017
Thieme, Horst R.
15
1998
Positive perturbation of operator semigroups: Growth bounds, essential compactness, and asynchronous exponential growth. Zbl 0988.47024
Thieme, Horst R.
15
1998
Quasi-compact semigroups via bounded perturbation. Zbl 0945.47033
Thieme, Horst R.
31
1997
Positive perturbations of dual and integrated semigroups. Zbl 0860.47027
Thieme, Horst R.
6
1996
Nonlinear perturbations of a class of integrated semigroups. Zbl 0872.47032
Matsumoto, Toshitaka; Oharu, Shinnosuke; Thieme, Horst R.
3
1996
On commutative sums of generators. Zbl 0890.47027
Thieme, Horst R.
3
1996
Asymptotically autonomous semiflows: Chain recurrence and Lyapunov functions. Zbl 0829.34037
Mischaikow, Konstantin; Smith, Hal; Thieme, Horst R.
98
1995
Recurrent outbreaks of childhood diseases revisited: The impact of isolation. Zbl 0833.92017
Feng, Zhilan; Thieme, Horst R.
45
1995
Perturbing evolutionary systems by step responses and cumulative outputs. Zbl 0834.47043
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
4
1995
Asymptotically autonomous differential equations in the plane. Zbl 0811.34036
Thieme, Horst R.
66
1994
Asymptotically autonomous differential equations in the plane. II: Stricter Poincaré/Bendixson type results. Zbl 0811.34037
Thieme, Horst R.
3
1994
Persistence under relaxed point-dissipativity (with application to an endemic model). Zbl 0774.34030
Thieme, Horst R.
281
1993
How may infection-age-dependent infectivity affect the dynamics of HIV/AIDS? Zbl 0811.92021
Thieme, Horst R.; Castillo-Chavez, Carlos
108
1993
Dynamics of an age structured epidemic model. Zbl 0943.92502
Busenberg, Stavros; Iannelli, Mimmo; Thieme, Horst
18
1993
Perturbing semigroups by solving Stieltjes renewal equations. Zbl 0770.47012
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
13
1993
The “cumulative” formulation of (physiologically) structured population models. Zbl 0795.92021
Diekmann, O.; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst
11
1993
Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations. Zbl 0761.34039
Thieme, Horst R.
288
1992
Epidemic and demographic interaction in the spread of potentially fatal diseases in growing populations. Zbl 0782.92018
Thieme, Horst R.
48
1992
Global behavior of an age-structured epidemic model. Zbl 0741.92015
Busenberg, Stavros N.; Iannelli, Mimmo; Thieme, Horst R.
63
1991
Strongly order preserving semiflows generated by functional differential equations. Zbl 0735.34065
Smith, Hal L.; Thieme, Horst R.
62
1991
Convergence for strongly order-preserving semiflows. Zbl 0739.34040
Smith, Hal L.; Thieme, Horst R.
40
1991
Stability change of the endemic equilibrium in age-structured models for the spread of S-I-R type infectious diseases. Zbl 0748.92013
Thieme, Horst R.
19
1991
Demographic change and persistence of HIV/AIDS in a heterogeneous population. Zbl 0739.92014
Busenberg, Stavros; Cooke, Kenneth; Thieme, Horst
12
1991
Analysis of age-structured population models with an additional structure. Zbl 0748.92009
Thieme, Horst R.
7
1991
Perturbation theory for dual semigroups. V: Variation of constants formulas. Zbl 0746.47019
Diekmann, O.; Gyllenberg, M.; Thieme, H. R.
5
1991
Semigroups and renewal equations on dual Banach spaces with applications to population dynamics. Zbl 0799.47022
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
1
1991
...and 32 more Documents
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Cited by 2,971 Authors

68 Zhao, Xiao-Qiang
63 Thieme, Horst R.
52 Ruan, Shigui
43 Li, Xuezhi
43 Martcheva, Maia
41 Zou, Xingfu
40 Wang, Jinliang
36 Magal, Pierre
34 Smith, Hal Leslie
33 Kuniya, Toshikazu
33 Teng, Zhi-dong
31 Wang, Feng-Bin
31 Wang, Wendi
31 Wu, Jianhong
30 Qiu, Zhipeng
29 Gyllenberg, Mats
27 Feng, Zhilan
26 Cai, Liming
26 Jin, Zhen
26 Webb, Glenn Francis
26 Yang, Junyuan
25 Chen, Yuming
25 Diekmann, Odo
23 Li, Wan-Tong
23 Liu, Shengqiang
22 Yuan, Rong
21 Kang, Yun
21 Wu, Shiliang
20 Ducrot, Arnaud
20 Jang, Sophia R.-J.
20 Zhang, Tailei
19 Lin, Guo
19 Takeuchi, Yasuhiro
18 Gumel, Abba B.
18 Kuang, Yang
18 Liu, Chao
18 Liu, Xianning
18 Liu, Zhihua
18 Liz, Eduardo
17 Ackleh, Azmy S.
17 Inaba, Hisashi
17 Lou, Yijun
17 Rong, Libin
17 Weng, Peixuan
16 Ezzinbi, Khalil
16 Ma, Wanbiao
16 Metz, Johan A. Jacob
16 Shi, Junping
16 Wei, Junjie
15 Bacaër, Nicolas
15 Castillo-Chavez, Carlos
15 Chattopadhyay, Joydev
15 Hsu, Szebi
14 Hsu, Cheng-Hsiung
14 Liu, Junli
14 Trofimchuk, Sergei I.
13 Cui, Jingan
13 Ghosh, Mini
13 Li, Michael Yi
13 Song, Xinyu
13 Wang, Jin
13 Wang, Wei
13 Wang, Xia
13 Wang, Zhi Cheng
13 Xu, Rui
12 Bai, Zhenguo
12 Bhunu, Claver Pedzisai
12 Calsina, Àngel
12 Jiang, Jifa
12 Mushayabasa, Steady
12 Zhang, Qingling
11 Adimy, Mostafa
11 Gwiazda, Piotr
11 Li, Bingtuan
11 Liu, Lili
11 Milner, Fabio Augusto
11 Röst, Gergely
11 Sun, Guiquan
11 Wu, YiXiang
11 Zhou, Yicang
10 Garira, Winston S.
10 Huo, Hai-Feng
10 Imran, Mudassar
10 Liang, Xing
10 Nakaoka, Shinji
10 Pugliese, Andrea
10 van den Driessche, Pauline
10 Wang, Xueying
10 Yi, Taishan
10 Yu, Zhixian
10 Zhang, Long
9 Bowong, Samuel
9 Braverman, Elena
9 d’Onofrio, Alberto
9 Duan, Xichao
9 Gao, Daozhou
9 Gourley, Stephen A.
9 Guiver, Chris
9 Heijmans, Henk J. A. M.
9 Lai, Xiulan
...and 2,871 more Authors
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Cited in 257 Serials

203 Journal of Mathematical Biology
151 Mathematical Biosciences
140 Journal of Differential Equations
139 Journal of Mathematical Analysis and Applications
120 Discrete and Continuous Dynamical Systems. Series B
108 Nonlinear Analysis. Real World Applications
107 Bulletin of Mathematical Biology
107 Applied Mathematics and Computation
91 Journal of Biological Dynamics
89 Mathematical Biosciences and Engineering
69 International Journal of Biomathematics
63 Journal of Theoretical Biology
56 Journal of Dynamics and Differential Equations
47 Chaos, Solitons and Fractals
41 Applied Mathematical Modelling
39 Mathematical and Computer Modelling
36 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
34 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
34 Journal of Biological Systems
33 Theoretical Population Biology
33 Advances in Difference Equations
31 Computers & Mathematics with Applications
30 SIAM Journal on Applied Mathematics
30 Journal of Difference Equations and Applications
29 Communications in Nonlinear Science and Numerical Simulation
27 Abstract and Applied Analysis
26 Mathematical Modelling of Natural Phenomena
25 Mathematical Methods in the Applied Sciences
25 Communications on Pure and Applied Analysis
24 Applicable Analysis
23 Journal of Computational and Applied Mathematics
22 Applied Mathematics Letters
21 Discrete Dynamics in Nature and Society
21 Journal of Applied Mathematics and Computing
19 Journal of the Franklin Institute
16 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
16 Discrete and Continuous Dynamical Systems
16 Journal of Applied Analysis and Computation
15 ZAMP. Zeitschrift für angewandte Mathematik und Physik
14 Proceedings of the American Mathematical Society
14 Acta Applicandae Mathematicae
14 Journal of Nonlinear Science
13 Rocky Mountain Journal of Mathematics
13 Mathematics and Computers in Simulation
13 Semigroup Forum
13 Transactions of the American Mathematical Society
12 Physica D
12 SIAM Journal on Mathematical Analysis
12 Complexity
12 Journal of Evolution Equations
11 Acta Mathematicae Applicatae Sinica. English Series
11 Nonlinear Dynamics
10 Computational and Applied Mathematics
10 Mathematical Population Studies
9 European Journal of Applied Mathematics
9 Differential Equations and Dynamical Systems
9 Journal of Applied Mathematics
8 Nonlinearity
8 Physica A
8 Mathematical Problems in Engineering
7 International Journal of Computer Mathematics
7 Qualitative Theory of Dynamical Systems
7 Discrete and Continuous Dynamical Systems. Series S
6 Automatica
6 Systems & Control Letters
6 Journal of Integral Equations and Applications
6 Japan Journal of Industrial and Applied Mathematics
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 Positivity
6 SIAM Journal on Applied Dynamical Systems
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5 Journal of Statistical Physics
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5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
5 The ANZIAM Journal
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5 Afrika Matematika
4 Indian Journal of Pure & Applied Mathematics
4 Mathematische Annalen
4 Applied Numerical Mathematics
4 Calculus of Variations and Partial Differential Equations
4 Journal of Mathematical Sciences (New York)
4 Chaos
4 International Journal of Nonlinear Sciences and Numerical Simulation
4 Dynamical Systems
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Mediterranean Journal of Mathematics
4 Boundary Value Problems
4 Journal of Nonlinear Science and Applications
4 Mathematics
4 Nonlinear Analysis. Theory, Methods & Applications
4 International Journal of Applied and Computational Mathematics
4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
3 Archive for Rational Mechanics and Analysis
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Czechoslovak Mathematical Journal
3 Mathematische Zeitschrift
3 Monatshefte für Mathematik
3 Chinese Annals of Mathematics. Series B
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Cited in 44 Fields

2,269 Biology and other natural sciences (92-XX)
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860 Partial differential equations (35-XX)
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116 Probability theory and stochastic processes (60-XX)
108 Systems theory; control (93-XX)
95 Difference and functional equations (39-XX)
73 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
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18 Computer science (68-XX)
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3 History and biography (01-XX)
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