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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
all top 5

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 The Canadian Applied Mathematics Quarterly
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 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

136 Publications have been cited 5,340 times in 3,497 Documents Cited by Year
Mathematics in population biology. Zbl 1054.92042
Thieme, Horst R.
577
2003
The dynamics of physiologically structured populations. Zbl 0614.92014
510
1986
Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations. Zbl 0761.34039
Thieme, Horst R.
377
1992
Dynamical systems and population persistence. Zbl 1214.37002
Smith, Hal L.; Thieme, Horst R.
324
2011
Persistence under relaxed point-dissipativity (with application to an endemic model). Zbl 0774.34030
Thieme, Horst R.
323
1993
Spectral bound and reproduction number for infinite-dimensional population structure and time heterogeneity. Zbl 1191.47089
Thieme, Horst R.
316
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
222
2003
Semiflows generated by Lipschitz perturbations of non-densely defined operators. Zbl 0734.34059
Thieme, Horst R.
164
1990
Uniform persistence and permanence for non-autonomous semiflows in population biology. Zbl 0970.37061
Thieme, Horst R.
157
2000
A competitive exclusion principle for pathogen virulence. Zbl 0715.92027
Bremermann, H. J.; Thieme, H. R.
129
1989
How may infection-age-dependent infectivity affect the dynamics of HIV/AIDS? Zbl 0811.92021
Thieme, Horst R.; Castillo-Chavez, Carlos
123
1993
Asymptotically autonomous semiflows: Chain recurrence and Lyapunov functions. Zbl 0829.34037
Mischaikow, Konstantin; Smith, Hal; Thieme, Horst R.
114
1995
On the stability of the cell size distribution. Zbl 0543.92021
Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R.
105
1984
“Integrated semigroups” and integrated solutions to abstract Cauchy problems. Zbl 0738.47037
Thieme, Horst R.
104
1990
Progression age enhanced backward bifurcation in an epidemic model with super-infection. Zbl 1097.92046
Martcheva, Maia; Thieme, Horst R.
93
2003
A non-local delayed and diffusive predator-prey model. Zbl 1113.92319
Thieme, Horst R.; Zhao, Xiao-Qiang
91
2001
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.
90
1998
A model for the spatial spread of an epidemic. Zbl 0373.92031
Thieme, H. R.
87
1977
Stability of the endemic equilibrium in epidemic models with subpopulations. Zbl 0582.92024
Hethcote, Herbert W.; Thieme, Horst R.
82
1985
Asymptotically autonomous differential equations in the plane. Zbl 0811.34036
Thieme, Horst R.
82
1994
Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations. Zbl 0395.45010
Thieme, Horst R.
79
1979
Strongly order preserving semiflows generated by functional differential equations. Zbl 0735.34065
Smith, Hal L.; Thieme, Horst R.
74
1991
Global behavior of an age-structured epidemic model. Zbl 0741.92015
Busenberg, Stavros N.; Iannelli, Mimmo; Thieme, Horst R.
72
1991
Density-dependent regulation of spatially distributed populations and their asymptotic speed of spread. Zbl 0417.92022
Thieme, Horst R.
72
1979
Recurrent outbreaks of childhood diseases revisited: The impact of isolation. Zbl 0833.92017
Feng, Zhilan; Thieme, Horst R.
62
1995
Endemic models with arbitrarily distributed periods of infection. I: Fundamental properties of the model. Zbl 0991.92028
Feng, Zhilan; Thieme, Horst R.
60
2000
Epidemic and demographic interaction in the spread of potentially fatal diseases in growing populations. Zbl 0782.92018
Thieme, Horst R.
53
1992
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.
46
1987
Convergence for strongly order-preserving semiflows. Zbl 0739.34040
Smith, Hal L.; Thieme, Horst R.
45
1991
Uniform weak implies uniform strong persistence for nonautonomous semiflows. Zbl 0918.34053
Thieme, Horst R.
45
1999
Global stability of the endemic equilibrium in infinite dimension: Lyapunov functions and positive operators. Zbl 1215.37052
Thieme, Horst R.
45
2011
Quasi-compact semigroups via bounded perturbation. Zbl 0945.47033
Thieme, Horst R.
40
1997
Species decline and extinction: synergy of infectious disease and Allee effect? Zbl 1342.92206
Thieme, Horst R.; Dhirasakdanon, Thanate; Han, Zhun; Trevino, Roy
39
2009
Eventual compactness for semiflows generated by nonlinear age-structured models. Zbl 1083.47061
Magal, P.; Thieme, H. R.
36
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.
35
2006
Quasi convergence and stability for strongly order-preserving semiflows. Zbl 0704.34054
Smith, Hal L.; Thieme, Horst R.
33
1990
On the role of variable infectivity in the dynamics of the human immunodeficiency virus epidemic. Zbl 0687.92009
Thieme, Horst R.; Castillo-Chavez, Carlos
30
1989
Monotone semiflows in scalar non-quasi-monotone functional differential equations. Zbl 0719.34123
Smith, Hal L.; Thieme, Horst R.
30
1990
Endemic models with arbitrarily distributed periods of infection. II: Fast disease dynamics and permanent recovery. Zbl 1016.92035
Feng, Zhilan; Thieme, Horst R.
30
2000
Renewal theorems for linear periodic Volterra integral equations. Zbl 0566.45016
Thieme, Horst R.
28
1984
Stable coexistence and bi-stability for competitive systems on ordered Banach spaces. Zbl 1064.47075
Smith, H. L.; Thieme, H. R.
25
2001
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.
24
1988
Delay differential systems for tick population dynamics. Zbl 1355.92087
Fan, Guihong; Thieme, Horst R.; Zhu, Huaiping
24
2015
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.
24
1988
Positive perturbation of operator semigroups: Growth bounds, essential compactness, and asynchronous exponential growth. Zbl 0988.47024
Thieme, Horst R.
22
1998
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.
22
2005
Differentiability of convolutions, integrated semigroups of bounded semi-variation, and the inhomogeneous Cauchy problem. Zbl 1157.45007
Thieme, Horst R.
21
2008
Local stability in epidemic models for heterogeneous populations. Zbl 0584.92020
Thieme, Horst R.
20
1985
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.
20
1991
Dynamics of an age structured epidemic model. Zbl 0943.92502
Busenberg, Stavros; Iannelli, Mimmo; Thieme, Horst
19
1993
Remarks on resolvent positive operators and their perturbation. Zbl 0962.47017
Thieme, Horst R.
18
1998
On a class of Hammerstein integral equations. Zbl 0417.45003
Thieme, Horst R.
18
1979
Balanced exponential growth of operator semigroups. Zbl 0943.47032
Thieme, Horst R.
17
1998
Stochastic semigroups: their construction by perturbation and approximation. Zbl 1113.47029
Thieme, H. R.; Voigt, J.
16
2006
Persistence and global stability for a class of discrete time structured population models. Zbl 1306.37099
Smith, Hal L.; Thieme, Horst R.
16
2013
An endemic model with variable re-infection rate and applications to influenza. Zbl 1020.92028
Thieme, Horst R.; Yang, Jinling
15
2002
Persistence of bacteria and phages in a chemostat. Zbl 1303.92123
Smith, Hal L.; Thieme, Horst R.
15
2012
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.
15
2016
Demographic change and persistence of HIV/AIDS in a heterogeneous population. Zbl 0739.92014
Busenberg, Stavros; Cooke, Kenneth; Thieme, Horst
14
1991
Perturbing semigroups by solving Stieltjes renewal equations. Zbl 0770.47012
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
14
1993
Eigenfunctionals of homogeneous order-preserving maps with applications to sexually reproducing populations. Zbl 1478.47037
Thieme, Horst R.
14
2016
An extinction/persistence threshold for sexually reproducing populations: the cone spectral radius. Zbl 1327.39012
Jin, Wen; Thieme, Horst
13
2016
The “cumulative” formulation of (physiologically) structured population models. Zbl 0795.92021
Diekmann, O.; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst
13
1993
Spectral radii and Collatz-Wielandt numbers for homogeneous order-preserving maps and the monotone companion norm. Zbl 1411.47012
Thieme, Horst R.
13
2016
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
A sharp threshold for disease persistence in host metapopulations. Zbl 1284.92100
Dhirasakdanon, Thanate; Thieme, Horst R.; van den Driessche, Pauline
12
2007
Markov transition functions and semigroups of measures. Zbl 1146.47030
Lant, Timothy; Thieme, Horst R.
12
2007
Global asymptotic stability in epidemic models. Zbl 0533.92023
Thieme, Horst R.
11
1983
Chemostats and epidemics: competition for nutrients/hosts. Zbl 1273.92039
Smith, Hal L.; Thieme, Horst R.
11
2013
Persistence and extinction of diffusing populations with two sexes and short reproductive season. Zbl 1305.92062
Thieme, Horst R.; Jin, Wen
11
2014
Analysis of age-structured population models with an additional structure. Zbl 0748.92009
Thieme, Horst R.
10
1991
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.
10
1989
Stability and persistence in a model for bluetongue dynamics. Zbl 1231.34147
Gourley, Stephen A.; Thieme, Horst R.; van den Driessche, P.
10
2011
From homogeneous eigenvalue problems to two-sex population dynamics. Zbl 1487.47087
Thieme, Horst R.
10
2017
Stability and persistence in ODE models for populations with many stages. Zbl 1369.92095
Fan, Guihong; Lou, Yijun; Thieme, Horst R.; Wu, Jianhong
9
2015
Persistence versus extinction for a class of discrete-time structured population models. Zbl 1347.37126
Jin, Wen; Smith, Hal L.; Thieme, Horst R.
9
2016
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.
9
1989
Renewal theorems for some mathematical models in epidemiology. Zbl 0565.92020
Thieme, Horst R.
9
1985
Measures under the flat norm as ordered normed vector space. Zbl 1390.28004
Gwiazda, Piotr; Marciniak-Czochra, Anna; Thieme, Horst R.
9
2018
Lack of uniqueness in transport equations with a nonlocal nonlinearity. Zbl 1012.45007
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
8
2000
Positive perturbations of dual and integrated semigroups. Zbl 0860.47027
Thieme, Horst R.
8
1996
Global stability in cyclic epidemic models with disease fatalities. Zbl 0924.92018
Thieme, Horst R.; van den Driessche, P.
8
1999
Relatively compact orbits and compact attractors for a class of nonlinear evolution equations. Zbl 1055.34119
Thieme, Horst R.; Vrabie, Ioan I.
8
2003
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.
8
2016
Discrete-time population dynamics on the state space of measures. Zbl 1470.92265
Thieme, Horst R.
8
2020
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
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
7
2012
An apparent paradox of horizontal and vertical disease transmission. Zbl 1140.92019
Faeth, Stanley H.; Hadeler, Karl P.; Thieme, Horst R.
7
2007
Disease extinction and disease persistence in age structured epidemic models. Zbl 1042.92513
Thieme, Horst R.
7
2001
Balanced exponential growth for perturbed operator semigroups. Zbl 0999.47026
Thieme, Horst R.
6
2000
Perturbation theory for dual semigroups. V: Variation of constants formulas. Zbl 0746.47019
Diekmann, O.; Gyllenberg, M.; Thieme, H. R.
6
1991
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
Eigenvectors of homogeneous order-bounded order-preserving maps. Zbl 06707638
Thieme, Horst R.
6
2017
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
Do fatal infectious diseases eradicate host species? Zbl 1404.92181
Farrell, Alex P.; Collins, James P.; Greer, Amy L.; 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.
6
2018
Monotone dependence of the spectral bound on the transition rates in linear compartment models. Zbl 1161.92043
Hadeler, K. P.; Thieme, H. R.
6
2008
The asymptotic behaviour of solutions of nonlinear integral equations. Zbl 0348.45019
Thieme, Horst R.
6
1977
Spread of viral infection of immobilized bacteria. Zbl 1267.92050
Jones, Don A.; Smith, Hal L.; Thieme, Horst R.
6
2013
A metapopulation model with discrete size structure. Zbl 1128.92050
Martcheva, Maia; Thieme, Horst R.
5
2005
Discrete-time dynamics of structured populations via Feller kernels. Zbl 1481.92119
Thieme, Horst R.
3
2022
Discrete-time population dynamics of spatially distributed semelparous two-sex populations. Zbl 1470.92266
Thieme, Horst R.
3
2021
Discrete-time population dynamics on the state space of measures. Zbl 1470.92265
Thieme, Horst R.
8
2020
Persistent discrete-time dynamics on measures. Zbl 1471.37081
Thieme, Horst R.
5
2020
Spreading speeds of rabies with territorial and diffusing rabid foxes. Zbl 1433.92048
Alanazi, Khalaf M.; Jackiewicz, Zdzislaw; Thieme, Horst R.
2
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
3
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
Numerical simulations of spread of rabies in a spatially distributed fox population. Zbl 07316644
Alanazi, Khalaf M.; Jackiewicz, Zdzislaw; Thieme, Horst R.
1
2019
Measures under the flat norm as ordered normed vector space. Zbl 1390.28004
Gwiazda, Piotr; Marciniak-Czochra, Anna; Thieme, Horst R.
9
2018
Do fatal infectious diseases eradicate host species? Zbl 1404.92181
Farrell, Alex P.; Collins, James P.; Greer, Amy L.; 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.
6
2018
Correction to: “Measures under the flat norm as ordered normed vector space”. Zbl 1390.28005
Gwiazda, Piotr; Marciniak-Czochra, Anna; Thieme, Horst R.
5
2018
From homogeneous eigenvalue problems to two-sex population dynamics. Zbl 1487.47087
Thieme, Horst R.
10
2017
Eigenvectors of homogeneous order-bounded order-preserving maps. Zbl 06707638
Thieme, Horst R.
6
2017
Competition in the chemostat with time-dependent differential removal rates. Zbl 1372.92061
Fan, Guihong; Smith, Hal L.; Thieme, Horst R.
2
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.
15
2016
Eigenfunctionals of homogeneous order-preserving maps with applications to sexually reproducing populations. Zbl 1478.47037
Thieme, Horst R.
14
2016
An extinction/persistence threshold for sexually reproducing populations: the cone spectral radius. Zbl 1327.39012
Jin, Wen; Thieme, Horst
13
2016
Spectral radii and Collatz-Wielandt numbers for homogeneous order-preserving maps and the monotone companion norm. Zbl 1411.47012
Thieme, Horst R.
13
2016
Persistence versus extinction for a class of discrete-time structured population models. Zbl 1347.37126
Jin, Wen; Smith, Hal L.; Thieme, Horst R.
9
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.
8
2016
Spread of phage infection of bacteria in a petri dish. Zbl 1336.92082
Jones, Don A.; Smith, Hal L.; Thieme, Horst R.
4
2016
Delay differential systems for tick population dynamics. Zbl 1355.92087
Fan, Guihong; Thieme, Horst R.; Zhu, Huaiping
24
2015
Stability and persistence in ODE models for populations with many stages. Zbl 1369.92095
Fan, Guihong; Lou, Yijun; Thieme, Horst R.; Wu, Jianhong
9
2015
Persistence and extinction of diffusing populations with two sexes and short reproductive season. Zbl 1305.92062
Thieme, Horst R.; Jin, Wen
11
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.
16
2013
Chemostats and epidemics: competition for nutrients/hosts. Zbl 1273.92039
Smith, Hal L.; Thieme, Horst R.
11
2013
Spread of viral infection of immobilized bacteria. Zbl 1267.92050
Jones, Don A.; Smith, Hal L.; Thieme, Horst R.
6
2013
Persistence of bacteria and phages in a chemostat. Zbl 1303.92123
Smith, Hal L.; Thieme, Horst R.
15
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
7
2012
Dynamical systems and population persistence. Zbl 1214.37002
Smith, Hal L.; Thieme, Horst R.
324
2011
Global stability of the endemic equilibrium in infinite dimension: Lyapunov functions and positive operators. Zbl 1215.37052
Thieme, Horst R.
45
2011
Stability and persistence in a model for bluetongue dynamics. Zbl 1231.34147
Gourley, Stephen A.; Thieme, Horst R.; van den Driessche, P.
10
2011
A reaction-diffusion system with time-delay modeling virus plaque formation. Zbl 1496.35400
Smith, Hal L.; Thieme, Horst R.
2
2011
Stability of the endemic coexistence equilibrium for one host and two parasites. Zbl 1205.92063
Dhirasakdanon, T.; Thieme, H. R.
4
2010
Spectral bound and reproduction number for infinite-dimensional population structure and time heterogeneity. Zbl 1191.47089
Thieme, Horst R.
316
2009
Species decline and extinction: synergy of infectious disease and Allee effect? Zbl 1342.92206
Thieme, Horst R.; Dhirasakdanon, Thanate; Han, Zhun; Trevino, Roy
39
2009
Distributed susceptibility: a challenge to persistence theory in infectious disease models. Zbl 1179.92054
Thieme, Horst R.
4
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.
21
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.
6
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
A sharp threshold for disease persistence in host metapopulations. Zbl 1284.92100
Dhirasakdanon, Thanate; Thieme, Horst R.; van den Driessche, Pauline
12
2007
Markov transition functions and semigroups of measures. Zbl 1146.47030
Lant, Timothy; Thieme, Horst R.
12
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.
35
2006
Stochastic semigroups: their construction by perturbation and approximation. Zbl 1113.47029
Thieme, H. R.; Voigt, J.
16
2006
Perturbing evolutionary systems on dual spaces by cumulative outputs. Zbl 1211.47014
Gyllenberg, Mats; Lant, Timothy; Thieme, Horst R.
3
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.
22
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.
36
2004
Semilinear perturbations of Hille–Yosida operators. Zbl 1073.47063
Thieme, Horst R.; Vosseler, Hauke
2
2004
Mathematics in population biology. Zbl 1054.92042
Thieme, Horst R.
577
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
222
2003
Progression age enhanced backward bifurcation in an epidemic model with super-infection. Zbl 1097.92046
Martcheva, Maia; Thieme, Horst R.
93
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
15
2002
The transition through stages with arbitrary length distributions, and applications in epidemics. Zbl 1056.92038
Thieme, Horst R.
3
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
91
2001
Stable coexistence and bi-stability for competitive systems on ordered Banach spaces. Zbl 1064.47075
Smith, H. L.; Thieme, H. R.
25
2001
Disease extinction and disease persistence in age structured epidemic models. Zbl 1042.92513
Thieme, Horst R.
7
2001
Uniform persistence and permanence for non-autonomous semiflows in population biology. Zbl 0970.37061
Thieme, Horst R.
157
2000
Endemic models with arbitrarily distributed periods of infection. I: Fundamental properties of the model. Zbl 0991.92028
Feng, Zhilan; Thieme, Horst R.
60
2000
Endemic models with arbitrarily distributed periods of infection. II: Fast disease dynamics and permanent recovery. Zbl 1016.92035
Feng, Zhilan; Thieme, Horst R.
30
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.
45
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.
90
1998
Positive perturbation of operator semigroups: Growth bounds, essential compactness, and asynchronous exponential growth. Zbl 0988.47024
Thieme, Horst R.
22
1998
Remarks on resolvent positive operators and their perturbation. Zbl 0962.47017
Thieme, Horst R.
18
1998
Balanced exponential growth of operator semigroups. Zbl 0943.47032
Thieme, Horst R.
17
1998
Quasi-compact semigroups via bounded perturbation. Zbl 0945.47033
Thieme, Horst R.
40
1997
Positive perturbations of dual and integrated semigroups. Zbl 0860.47027
Thieme, Horst R.
8
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
Differential equations and applications to biology and to industry. Proceedings of the Claremont international conference dedicated to the memory of Starvros Busenberg (1941–1993), Claremont, CA, USA, June 1–4, 1994. Zbl 0901.00038
1
1996
Asymptotically autonomous semiflows: Chain recurrence and Lyapunov functions. Zbl 0829.34037
Mischaikow, Konstantin; Smith, Hal; Thieme, Horst R.
114
1995
Recurrent outbreaks of childhood diseases revisited: The impact of isolation. Zbl 0833.92017
Feng, Zhilan; Thieme, Horst R.
62
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.
82
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.
323
1993
How may infection-age-dependent infectivity affect the dynamics of HIV/AIDS? Zbl 0811.92021
Thieme, Horst R.; Castillo-Chavez, Carlos
123
1993
Dynamics of an age structured epidemic model. Zbl 0943.92502
Busenberg, Stavros; Iannelli, Mimmo; Thieme, Horst
19
1993
Perturbing semigroups by solving Stieltjes renewal equations. Zbl 0770.47012
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
14
1993
The “cumulative” formulation of (physiologically) structured population models. Zbl 0795.92021
Diekmann, O.; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst
13
1993
Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations. Zbl 0761.34039
Thieme, Horst R.
377
1992
Epidemic and demographic interaction in the spread of potentially fatal diseases in growing populations. Zbl 0782.92018
Thieme, Horst R.
53
1992
Strongly order preserving semiflows generated by functional differential equations. Zbl 0735.34065
Smith, Hal L.; Thieme, Horst R.
74
1991
Global behavior of an age-structured epidemic model. Zbl 0741.92015
Busenberg, Stavros N.; Iannelli, Mimmo; Thieme, Horst R.
72
1991
Convergence for strongly order-preserving semiflows. Zbl 0739.34040
Smith, Hal L.; Thieme, Horst R.
45
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.
20
1991
...and 36 more Documents
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Cited by 3,680 Authors

75 Zhao, Xiao-Qiang
65 Thieme, Horst R.
60 Ruan, Shigui
56 Wang, Jinliang
49 Teng, Zhi-dong
47 Li, Xuezhi
47 Martcheva, Maia
45 Zou, Xingfu
41 Kuniya, Toshikazu
40 Magal, Pierre
39 Wu, Jianhong
36 Yang, Junyuan
35 Smith, Hal Leslie
35 Wang, Feng-Bin
33 Jin, Zhen
32 Qiu, Zhipeng
32 Wang, Wendi
30 Cai, Liming
30 Diekmann, Odo
30 Gyllenberg, Mats
29 Chen, Yuming
28 Feng, Zhilan
27 Lin, Guo
27 Liu, Shengqiang
27 Webb, Glenn Francis
26 Wang, Hao
25 Ducrot, Arnaud
25 Li, Wan-Tong
24 Jang, Sophia R.-J.
24 Wu, Shiliang
24 Zhang, Tailei
23 Kang, Yun
23 Yuan, Rong
22 Liu, Xianning
21 Liu, Chao
21 Liu, Zhihua
21 Wang, Zhi Cheng
20 Inaba, Hisashi
20 Takeuchi, Yasuhiro
20 Wang, Wei
19 Gumel, Abba B.
19 Kuang, Yang
19 Liz, Eduardo
19 Lou, Yijun
19 Ma, Wanbiao
18 Ackleh, Azmy S.
18 Bai, Zhenguo
18 Hsu, Szebi
18 Rong, Libin
17 Chattopadhyay, Joydev
17 Ezzinbi, Khalil
17 Shi, Junping
17 Wang, Jin
17 Wei, Junjie
17 Weng, Peixuan
17 Xu, Rui
16 Calsina, Àngel
16 Castillo-Chavez, Carlos
16 Hsu, Cheng-Hsiung
16 Huo, Hai-Feng
16 Metz, Johan A. Jacob
16 Röst, Gergely
16 Sun, Guiquan
15 Bacaër, Nicolas
15 Cui, Jingan
15 Trofimchuk, Sergei I.
15 Wang, Xia
15 Zhang, Qingling
14 Adimy, Mostafa
14 Djilali, Salih
14 Jiang, Jifa
14 Lam, King-Yeung
14 Liu, Junli
14 Seydi, Ousmane
14 Shu, Hongying
14 Touaoula, Tarik Mohamed
14 Yan, Dongxue
14 Yang, Yu
14 Zhang, Long
14 Zhang, Ran
13 Bowong, Samuel
13 Feng, Zhaosheng
13 Ghosh, Mini
13 Gwiazda, Piotr
13 Li, Michael Yi
13 Liu, Lili
13 Song, Xinyu
13 Wang, Xiaoyan
13 Wang, Yuanshi
12 Bhunu, Claver Pedzisai
12 Chekroun, Abdennasser
12 Duan, Xichao
12 Fu, Xianlong
12 Gao, Daozhou
12 Kang, Hao
12 Lewis, Mark Alun
12 Mushayabasa, Steady
12 van den Driessche, Pauline
12 Wang, Xueying
12 Zhou, Yicang
...and 3,580 more Authors
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Cited in 305 Serials

252 Journal of Mathematical Biology
162 Mathematical Biosciences
159 Discrete and Continuous Dynamical Systems. Series B
157 Journal of Mathematical Analysis and Applications
156 Journal of Differential Equations
130 Nonlinear Analysis. Real World Applications
126 Mathematical Biosciences and Engineering
118 Bulletin of Mathematical Biology
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103 Journal of Biological Dynamics
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88 International Journal of Biomathematics
60 Journal of Dynamics and Differential Equations
51 Communications in Nonlinear Science and Numerical Simulation
48 Mathematical Methods in the Applied Sciences
47 Applied Mathematical Modelling
47 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
42 Chaos, Solitons and Fractals
42 Journal of Biological Systems
39 Mathematical and Computer Modelling
38 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
38 Advances in Difference Equations
37 ZAMP. Zeitschrift für angewandte Mathematik und Physik
37 SIAM Journal on Applied Mathematics
35 Theoretical Population Biology
33 Computers & Mathematics with Applications
32 Journal of Difference Equations and Applications
32 Communications on Pure and Applied Analysis
31 Mathematics and Computers in Simulation
29 Applicable Analysis
29 Physica A
29 Applied Mathematics Letters
29 Journal of Applied Mathematics and Computing
28 Mathematical Modelling of Natural Phenomena
27 Journal of Computational and Applied Mathematics
27 Abstract and Applied Analysis
25 Journal of the Franklin Institute
24 Discrete Dynamics in Nature and Society
20 Journal of Nonlinear Science
19 Qualitative Theory of Dynamical Systems
18 Proceedings of the American Mathematical Society
18 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
17 Acta Applicandae Mathematicae
17 Journal of Applied Analysis and Computation
16 European Journal of Applied Mathematics
16 Discrete and Continuous Dynamical Systems
16 Journal of Evolution Equations
15 Computational and Applied Mathematics
14 Nonlinearity
14 Transactions of the American Mathematical Society
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13 Rocky Mountain Journal of Mathematics
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13 Physica D
12 Acta Mathematicae Applicatae Sinica. English Series
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12 Complexity
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10 Studies in Applied Mathematics
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10 SIAM Journal on Applied Dynamical Systems
9 Mathematical Problems in Engineering
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8 Discrete and Continuous Dynamical Systems. Series S
7 Automatica
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5 Calculus of Variations and Partial Differential Equations
5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
5 International Journal of Nonlinear Sciences and Numerical Simulation
5 The ANZIAM Journal
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 Boundary Value Problems
5 International Journal of Applied and Computational Mathematics
5 Mathematics in Applied Sciences and Engineering
4 Indian Journal of Pure & Applied Mathematics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Numerical Methods for Partial Differential Equations
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Stochastic Processes and their Applications
4 Journal of Mathematical Sciences (New York)
4 Chaos
4 Journal of Dynamical and Control Systems
4 Nonlinear Analysis. Modelling and Control
4 Dynamical Systems
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