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Author ID: magal.pierre Recent zbMATH articles by "Magal, Pierre"
Published as: Magal, Pierre; Magal, P.
Documents Indexed: 97 Publications since 1997, including 3 Books
5 Contributions as Editor
Reviewing Activity: 5 Reviews
Co-Authors: 45 Co-Authors with 92 Joint Publications
1,204 Co-Co-Authors
all top 5

Serials

8 Discrete and Continuous Dynamical Systems. Series B
6 Journal of Theoretical Biology
5 Journal of Mathematical Analysis and Applications
5 Journal of Differential Equations
5 SIAM Journal on Applied Mathematics
5 Journal of Evolution Equations
4 Journal of Dynamics and Differential Equations
4 Mathematical Biosciences and Engineering
3 Journal of Mathematical Biology
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Canadian Journal of Mathematics
3 Differential and Integral Equations
3 Journal of Difference Equations and Applications
3 Communications on Pure and Applied Analysis
2 Mathematical Biosciences
2 Nonlinearity
2 Bulletin of Mathematical Biology
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 SIAM Journal on Mathematical Analysis
2 Journal of Nonlinear Science
2 Discrete and Continuous Dynamical Systems
2 Journal of Biological Dynamics
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Gazette des Mathématiciens
1 Memoirs of the American Mathematical Society
1 SIAM Journal on Control and Optimization
1 Transactions of the American Mathematical Society
1 Physica D
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 The Canadian Applied Mathematics Quarterly
1 Electronic Journal of Differential Equations (EJDE)
1 NoDEA. Nonlinear Differential Equations and Applications
1 Advances in Differential Equations
1 Nonlinear Studies
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Nonlinear Analysis. Real World Applications
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Applied Mathematical Sciences
1 Lecture Notes in Mathematics
1 Networks and Heterogeneous Media
1 Mathematical Modelling of Natural Phenomena
1 Discrete and Continuous Dynamical Systems. Series S
1 Journal of Applied Analysis and Computation
1 Lecture Notes on Mathematical Modelling in the Life Sciences

Publications by Year

Citations contained in zbMATH Open

82 Publications have been cited 1,642 times in 903 Documents Cited by Year
Global attractors and steady states for uniformly persistent dynamical systems. Zbl 1128.37016
Magal, Pierre; Zhao, Xiao-Qiang
260
2005
Lyapunov functional and global asymptotic stability for an infection-age model. Zbl 1208.34126
Magal, P.; McCluskey, C. C.; Webb, G. F.
156
2010
Compact attractors for time-periodic age-structured population models. Zbl 0992.35019
Magal, Pierre
90
2001
Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models. Zbl 1191.35045
Magal, Pierre; Ruan, Shigui
74
2009
On semilinear Cauchy problems with non-dense domain. Zbl 1225.47042
Magal, Pierre; Ruan, Shigui
63
2009
Travelling wave solutions for an infection-age structured model with diffusion. Zbl 1178.35117
Ducrot, A.; Magal, P.
62
2009
Travelling wave solutions for an infection-age structured epidemic model with external supplies. Zbl 1227.92044
Ducrot, Arnaud; Magal, Pierre
60
2011
Travelling wave solutions in multigroup age-structured epidemic models. Zbl 1181.92071
Ducrot, Arnaut; Magal, Pierre; Ruan, Shigui
54
2010
Hopf bifurcation for non-densely defined Cauchy problems. Zbl 1242.34112
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
47
2011
Theory and applications of abstract semilinear Cauchy problems. Zbl 1447.34002
Magal, Pierre; Ruan, Shigui
46
2018
Essential growth rate for bounded linear perturbation of nondensely defined Cauchy problems. Zbl 1142.34036
Ducrot, A.; Liu, Z.; Magal, P.
42
2008
On integrated semigroups and age structured models in \(L^p\) spaces. Zbl 1212.35238
Magal, Pierre; Ruan, Shigui
38
2007
Two-group infection age model including an application to nosocomial infection. Zbl 1307.35306
Magal, Pierre; McCluskey, Connell
38
2013
Qualitative analysis and travelling wave solutions for the SI model with vertical transmission. Zbl 1264.35254
Ducrot, Arnaud; Langlais, Michel; Magal, Pierre
33
2012
Structured population models in biology and epidemiology. Zbl 1138.92029
32
2008
Eventual compactness for semiflows generated by nonlinear age-structured models. Zbl 1083.47061
Magal, P.; Thieme, H. R.
31
2004
On a vector-host epidemic model with spatial structure. Zbl 1408.35199
Magal, Pierre; Webb, Glenn; Wu, Yixiang
28
2018
Hopf bifurcation in a size-structured population dynamic model with random growth. Zbl 1172.35322
Chu, Jixun; Ducrot, Arnaud; Magal, Pierre; Ruan, Shigui
27
2009
A model for ovine brucellosis incorporating direct and indirect transmission. Zbl 1315.92072
Aïnseba, Bedr’Eddine; Benosman, Chahrazed; Magal, Pierre
26
2010
On the basic reproduction number of reaction-diffusion epidemic models. Zbl 1407.35113
Magal, Pierre; Webb, Glenn F.; Wu, Yixiang
26
2019
Asymptotic behavior in nosocomial epidemic models with antibiotic resistance. Zbl 1212.35229
D’Agata, Erika M. C.; Magal, Pierre; Ruan, Shigui; Webb, Glenn
22
2006
Existence of periodic solutions for a state dependent delay differential equation. Zbl 0977.34067
Magal, P.; Arino, O.
20
2000
Normal forms for semilinear equations with non-dense domain with applications to age structured models. Zbl 1347.37125
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
20
2014
Mutation, selection, and recombination in a model of phenotype evolution. Zbl 1007.92027
Magal, P.; Webb, G. F.
19
2000
Optimal control of harvesting in a nonlinear elliptic system arising from population dynamics. Zbl 0982.49005
Cañada, A.; Magal, P.; Montero, J. A.
17
2001
Perturbation of a globally stable steady state and uniform persistence. Zbl 1173.37025
Magal, Pierre
17
2009
Projectors on the generalized eigenspaces for functional differential equations using integrated semigroups. Zbl 1178.34072
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
15
2008
An in vitro cell population dynamics model incorporating cell size, quiescence, and contact inhibition. Zbl 1221.35204
Ducrot, Arnaud; Le Foll, Frank; Magal, Pierre; Murakawa, Hideki; Pasquier, Jennifer; Webb, Glenn F.
14
2011
Final size of an epidemic for a two-group SIR model. Zbl 1350.92053
Magal, Pierre; Seydi, Ousmane; Webb, Glenn
14
2016
Integrated semigroups and parabolic equations. I: Linear perburbation of almost sectorial operators. Zbl 1239.35083
Ducrot, Arnaud; Magal, Pierre; Prevost, Kevin
14
2010
Projectors on the generalized eigenspaces for partial differential equations with time delay. Zbl 1272.35118
Ducrot, Arnaut; Magal, Pierre; Ruan, Shigui
12
2012
Oscillations in age-structured models of consumer-resource mutualisms. Zbl 1330.35473
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
12
2016
Predicting the cumulative number of cases for the COVID-19 epidemic in China from early data. Zbl 1467.92215
Liu, Zhihua; Magal, Pierre; Seydi, Ousmane; Webb, Glenn
11
2020
Sustained oscillations in an evolutionary epidemiological model of influenza A drift. Zbl 1195.35290
Magal, Pierre; Ruan, Shigui
11
2010
Analysis of a model for transfer phenomena in biological populations. Zbl 1201.34092
Hinow, Peter; Le Foll, Frank; Magal, Pierre; Webb, Glenn F.
9
2009
Bogdanov-Takens bifurcation in a predator-prey model. Zbl 1358.35205
Liu, Zhihua; Magal, Pierre; Xiao, Dongmei
9
2016
Turing and Turing-Hopf bifurcations for a reaction diffusion equation with nonlocal advection. Zbl 1403.35129
Ducrot, Arnaud; Fu, Xiaoming; Magal, Pierre
9
2018
Predicting the number of reported and unreported cases for the COVID-19 epidemics in China, South Korea, Italy, France, Germany and United Kingdom. Zbl 1457.92172
Liu, Z.; Magal, P.; Webb, G.
9
2021
Normal forms for an age structured model. Zbl 1350.35021
Chu, Jixun; Liu, Zhihua; Magal, Pierre; Ruan, Shigui
8
2016
Controllability with positivity constraints of the Lotka-McKendrick system. Zbl 1390.93140
Hegoburu, Nicolas; Magal, Pierre; Tucsnak, Marius
8
2018
Final size of a multi-group SIR epidemic model: irreducible and non-irreducible modes of transmission. Zbl 1392.92104
Magal, Pierre; Seydi, Ousmane; Webb, Glenn
7
2018
Persistence of exponential trichotomy for linear operators: a Lyapunov-Perron approach. Zbl 1359.39001
Ducrot, A.; Magal, P.; Seydi, O.
7
2016
The parameter identification problem for SIR epidemic models: identifying unreported cases. Zbl 1404.92194
Magal, Pierre; Webb, Glenn
7
2018
Hopf bifurcation for a spatially and age structured population dynamics model. Zbl 1348.37112
Liu, Zhihua; Tang, Hui; Magal, Pierre
6
2015
Projectors on the generalized eigenspaces for neutral functional differential equations in \(L^{p}\) spaces. Zbl 1193.34132
Ducrot, Arnaud; Liu, Zhihua; Magal, Pierre
6
2010
A finite-time condition for exponential trichotomy in infinite dynamical systems. Zbl 1352.37041
Ducrot, Arnaud; Magal, Pierre; Seydi, Ousmane
6
2015
Center-unstable manifolds for nondensely defined Cauchy problems and applications to stability of Hopf bifurcation. Zbl 1341.34062
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
6
2012
Hopf bifurcation for a size-structured model with resting phase. Zbl 1277.35040
Chu, Jixun; Magal, Pierre
6
2013
Asymptotic behavior of a nonlocal diffusive logistic equation. Zbl 1309.37081
Ducrot, Arnaud; Magal, Pierre
6
2014
Hopf bifurcation in an age-structured population model with two delays. Zbl 1314.35195
Fu, Xianlong; Liu, Zhihua; Magal, Pierre
5
2015
Competition for light in forest population dynamics: from computer simulator to mathematical model. Zbl 1370.92140
Magal, Pierre; Zhang, Zhengyang
5
2017
Nonlinear boundary conditions derived by singular pertubation in age structured population dynamics model. Zbl 1304.92109
Ducrot, Arnaud; Magal, Pierre; Seydi, Ousmane
5
2011
Hopf bifurcation for a maturity structured population dynamic model. Zbl 1229.35011
Chu, Jixun; Magal, Pierre; Yuan, Rong
5
2011
Monotone abstract non-densely defined Cauchy problems applied to age structured population dynamic models. Zbl 1420.92096
Magal, Pierre; Seydi, Ousmane; Wang, Feng-Bin
5
2019
Spatial spread of epidemic diseases in geographical settings: seasonal influenza epidemics in Puerto Rico. Zbl 1433.92060
Magal, Pierre; Webb, Glenn F.; Wu, Yixiang
4
2020
Existence of periodic solutions for a class of delay differential equations with impulses. Zbl 0989.34058
Bachar, M.; Magal, P.
4
2001
A center manifold for second order semilinear differential equations on the real line and applications to the existence of wave trains for the Gurtin-McCamy equation. Zbl 1422.37057
Ducrot, Arnaud; Magal, Pierre
4
2019
Susceptible-infectious-recovered models revisited: from the individual level to the population level. Zbl 1315.92081
Magal, Pierre; Ruan, Shigui
4
2014
A system of state-dependent delay differential equation modelling forest growth. II: Boundedness of solutions. Zbl 1404.92160
Magal, Pierre; Zhang, Zhengyang
3
2018
Multiple travelling waves for an SI-epidemic model. Zbl 1270.35168
Ducrot, Arnaud; Langlais, Michel; Magal, Pierre
3
2013
Asymptotic behavior in a Salmonella infection model. Zbl 1337.92214
Prévost, K.; Beaumont, C.; Magal, P.
3
2007
A cell-cell repulsion model on a hyperbolic Keller-Segel equation. Zbl 1437.92018
Fu, Xiaoming; Griette, Quentin; Magal, Pierre
3
2020
Large speed traveling waves for the Rosenzweig-MacArthur predator-prey model with spatial diffusion. Zbl 07491124
Ducrot, Arnaud; Liu, Zhihua; Magal, Pierre
2
2021
An environmental model of honey bee colony collapse due to pesticide contamination. Zbl 1442.92193
Magal, P.; Webb, G. F.; Wu, Yixiang
2
2019
A Holling predator-prey model with handling and searching predators. Zbl 1450.34033
Hsu, Sze-Bi; Liu, Zhihua; Magal, Pierre
2
2020
Persistence of a normally hyperbolic manifold for a system of non densely defined Cauchy problems. Zbl 1428.37030
Magal, Pierre; Seydi, Ousmane
2
2019
A fixed point theorem with application to a model of population dynamics. Zbl 0872.47029
Magal, P.; Pelletier, D.
2
1997
A uniqueness result for nontrivial steady states of a density-dependent population dynamics model. Zbl 0939.47063
Magal, P.
2
1999
Singular perturbation for an abstract non-densely defined Cauchy problem. Zbl 1387.34089
Ducrot, Arnaud; Magal, Pierre; Seydi, Ousmane
2
2017
Mutation and recombination in a model of phenotype evolution. Zbl 1016.34053
Magal, P.
2
2002
A system of state-dependent delay differential equation modeling forest growth. I: Semiflow properties. Zbl 1416.35278
Magal, Pierre; Zhang, Zhengyang
2
2018
Functional differential equation with infinite delay in a space of exponentially bounded and uniformly continuous functions. Zbl 1443.34082
Liu, Zhihua; Magal, Pierre
1
2020
Existence and uniqueness of solutions for a hyperbolic Keller-Segel equation. Zbl 1466.35257
Fu, Xiaoming; Griette, Quentin; Magal, Pierre
1
2021
An integrated semigroup approach for age structured equations with diffusion and non-homogeneous boundary conditions. Zbl 1489.47066
Ducrot, Arnaud; Magal, Pierre; Thorel, Alexandre
1
2021
A singularly perturbed delay differential equation modeling nosocomial infections. Zbl 1389.34256
Ducrot, A.; Magal, P.; Seydi, O.
1
2016
A global stabilization result for discrete dynamical systems on a cone. Zbl 1129.47315
Magal, P.
1
2001
A global attractivity result for a discrete time system, with applications to density dependent population dynamics models. Zbl 1035.37047
Magal, P.
1
2000
A model for transfer of P-glycoproteins in MCF-7 breast cancer cell line with multiple transfer rules. Zbl 1372.92030
Magal, P.; Noussair, A.; Pasquier, J.; Zongo, P.; Le Foll, F.
1
2017
Global stability for differential equations with homogeneous nonlinearity and application to population dynamics. Zbl 1047.34067
Magal, P.
1
2002
Variation of constants formula and exponential dichotomy for nonautonomous non-densely defined Cauchy problems. Zbl 07432949
Magal, Pierre; Seydi, Ousmane
1
2021
Modeling antibiotic resistance in hospitals: the impact of minimizing treatment duration. Zbl 1453.92187
D’Agata, Erika M. C.; Magal, Pierre; Olivier, Damien; Ruan, Shigui; Webb, Glenn F.
1
2007
Bogdanov-Takens bifurcation in a predator-prey model with age structure. Zbl 1465.34063
Liu, Zhihua; Magal, Pierre
1
2021
Predicting the number of reported and unreported cases for the COVID-19 epidemics in China, South Korea, Italy, France, Germany and United Kingdom. Zbl 1457.92172
Liu, Z.; Magal, P.; Webb, G.
9
2021
Large speed traveling waves for the Rosenzweig-MacArthur predator-prey model with spatial diffusion. Zbl 07491124
Ducrot, Arnaud; Liu, Zhihua; Magal, Pierre
2
2021
Existence and uniqueness of solutions for a hyperbolic Keller-Segel equation. Zbl 1466.35257
Fu, Xiaoming; Griette, Quentin; Magal, Pierre
1
2021
An integrated semigroup approach for age structured equations with diffusion and non-homogeneous boundary conditions. Zbl 1489.47066
Ducrot, Arnaud; Magal, Pierre; Thorel, Alexandre
1
2021
Variation of constants formula and exponential dichotomy for nonautonomous non-densely defined Cauchy problems. Zbl 07432949
Magal, Pierre; Seydi, Ousmane
1
2021
Bogdanov-Takens bifurcation in a predator-prey model with age structure. Zbl 1465.34063
Liu, Zhihua; Magal, Pierre
1
2021
Predicting the cumulative number of cases for the COVID-19 epidemic in China from early data. Zbl 1467.92215
Liu, Zhihua; Magal, Pierre; Seydi, Ousmane; Webb, Glenn
11
2020
Spatial spread of epidemic diseases in geographical settings: seasonal influenza epidemics in Puerto Rico. Zbl 1433.92060
Magal, Pierre; Webb, Glenn F.; Wu, Yixiang
4
2020
A cell-cell repulsion model on a hyperbolic Keller-Segel equation. Zbl 1437.92018
Fu, Xiaoming; Griette, Quentin; Magal, Pierre
3
2020
A Holling predator-prey model with handling and searching predators. Zbl 1450.34033
Hsu, Sze-Bi; Liu, Zhihua; Magal, Pierre
2
2020
Functional differential equation with infinite delay in a space of exponentially bounded and uniformly continuous functions. Zbl 1443.34082
Liu, Zhihua; Magal, Pierre
1
2020
On the basic reproduction number of reaction-diffusion epidemic models. Zbl 1407.35113
Magal, Pierre; Webb, Glenn F.; Wu, Yixiang
26
2019
Monotone abstract non-densely defined Cauchy problems applied to age structured population dynamic models. Zbl 1420.92096
Magal, Pierre; Seydi, Ousmane; Wang, Feng-Bin
5
2019
A center manifold for second order semilinear differential equations on the real line and applications to the existence of wave trains for the Gurtin-McCamy equation. Zbl 1422.37057
Ducrot, Arnaud; Magal, Pierre
4
2019
An environmental model of honey bee colony collapse due to pesticide contamination. Zbl 1442.92193
Magal, P.; Webb, G. F.; Wu, Yixiang
2
2019
Persistence of a normally hyperbolic manifold for a system of non densely defined Cauchy problems. Zbl 1428.37030
Magal, Pierre; Seydi, Ousmane
2
2019
Theory and applications of abstract semilinear Cauchy problems. Zbl 1447.34002
Magal, Pierre; Ruan, Shigui
46
2018
On a vector-host epidemic model with spatial structure. Zbl 1408.35199
Magal, Pierre; Webb, Glenn; Wu, Yixiang
28
2018
Turing and Turing-Hopf bifurcations for a reaction diffusion equation with nonlocal advection. Zbl 1403.35129
Ducrot, Arnaud; Fu, Xiaoming; Magal, Pierre
9
2018
Controllability with positivity constraints of the Lotka-McKendrick system. Zbl 1390.93140
Hegoburu, Nicolas; Magal, Pierre; Tucsnak, Marius
8
2018
Final size of a multi-group SIR epidemic model: irreducible and non-irreducible modes of transmission. Zbl 1392.92104
Magal, Pierre; Seydi, Ousmane; Webb, Glenn
7
2018
The parameter identification problem for SIR epidemic models: identifying unreported cases. Zbl 1404.92194
Magal, Pierre; Webb, Glenn
7
2018
A system of state-dependent delay differential equation modelling forest growth. II: Boundedness of solutions. Zbl 1404.92160
Magal, Pierre; Zhang, Zhengyang
3
2018
A system of state-dependent delay differential equation modeling forest growth. I: Semiflow properties. Zbl 1416.35278
Magal, Pierre; Zhang, Zhengyang
2
2018
Competition for light in forest population dynamics: from computer simulator to mathematical model. Zbl 1370.92140
Magal, Pierre; Zhang, Zhengyang
5
2017
Singular perturbation for an abstract non-densely defined Cauchy problem. Zbl 1387.34089
Ducrot, Arnaud; Magal, Pierre; Seydi, Ousmane
2
2017
A model for transfer of P-glycoproteins in MCF-7 breast cancer cell line with multiple transfer rules. Zbl 1372.92030
Magal, P.; Noussair, A.; Pasquier, J.; Zongo, P.; Le Foll, F.
1
2017
Final size of an epidemic for a two-group SIR model. Zbl 1350.92053
Magal, Pierre; Seydi, Ousmane; Webb, Glenn
14
2016
Oscillations in age-structured models of consumer-resource mutualisms. Zbl 1330.35473
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
12
2016
Bogdanov-Takens bifurcation in a predator-prey model. Zbl 1358.35205
Liu, Zhihua; Magal, Pierre; Xiao, Dongmei
9
2016
Normal forms for an age structured model. Zbl 1350.35021
Chu, Jixun; Liu, Zhihua; Magal, Pierre; Ruan, Shigui
8
2016
Persistence of exponential trichotomy for linear operators: a Lyapunov-Perron approach. Zbl 1359.39001
Ducrot, A.; Magal, P.; Seydi, O.
7
2016
A singularly perturbed delay differential equation modeling nosocomial infections. Zbl 1389.34256
Ducrot, A.; Magal, P.; Seydi, O.
1
2016
Hopf bifurcation for a spatially and age structured population dynamics model. Zbl 1348.37112
Liu, Zhihua; Tang, Hui; Magal, Pierre
6
2015
A finite-time condition for exponential trichotomy in infinite dynamical systems. Zbl 1352.37041
Ducrot, Arnaud; Magal, Pierre; Seydi, Ousmane
6
2015
Hopf bifurcation in an age-structured population model with two delays. Zbl 1314.35195
Fu, Xianlong; Liu, Zhihua; Magal, Pierre
5
2015
Normal forms for semilinear equations with non-dense domain with applications to age structured models. Zbl 1347.37125
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
20
2014
Asymptotic behavior of a nonlocal diffusive logistic equation. Zbl 1309.37081
Ducrot, Arnaud; Magal, Pierre
6
2014
Susceptible-infectious-recovered models revisited: from the individual level to the population level. Zbl 1315.92081
Magal, Pierre; Ruan, Shigui
4
2014
Two-group infection age model including an application to nosocomial infection. Zbl 1307.35306
Magal, Pierre; McCluskey, Connell
38
2013
Hopf bifurcation for a size-structured model with resting phase. Zbl 1277.35040
Chu, Jixun; Magal, Pierre
6
2013
Multiple travelling waves for an SI-epidemic model. Zbl 1270.35168
Ducrot, Arnaud; Langlais, Michel; Magal, Pierre
3
2013
Qualitative analysis and travelling wave solutions for the SI model with vertical transmission. Zbl 1264.35254
Ducrot, Arnaud; Langlais, Michel; Magal, Pierre
33
2012
Projectors on the generalized eigenspaces for partial differential equations with time delay. Zbl 1272.35118
Ducrot, Arnaut; Magal, Pierre; Ruan, Shigui
12
2012
Center-unstable manifolds for nondensely defined Cauchy problems and applications to stability of Hopf bifurcation. Zbl 1341.34062
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
6
2012
Travelling wave solutions for an infection-age structured epidemic model with external supplies. Zbl 1227.92044
Ducrot, Arnaud; Magal, Pierre
60
2011
Hopf bifurcation for non-densely defined Cauchy problems. Zbl 1242.34112
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
47
2011
An in vitro cell population dynamics model incorporating cell size, quiescence, and contact inhibition. Zbl 1221.35204
Ducrot, Arnaud; Le Foll, Frank; Magal, Pierre; Murakawa, Hideki; Pasquier, Jennifer; Webb, Glenn F.
14
2011
Nonlinear boundary conditions derived by singular pertubation in age structured population dynamics model. Zbl 1304.92109
Ducrot, Arnaud; Magal, Pierre; Seydi, Ousmane
5
2011
Hopf bifurcation for a maturity structured population dynamic model. Zbl 1229.35011
Chu, Jixun; Magal, Pierre; Yuan, Rong
5
2011
Lyapunov functional and global asymptotic stability for an infection-age model. Zbl 1208.34126
Magal, P.; McCluskey, C. C.; Webb, G. F.
156
2010
Travelling wave solutions in multigroup age-structured epidemic models. Zbl 1181.92071
Ducrot, Arnaut; Magal, Pierre; Ruan, Shigui
54
2010
A model for ovine brucellosis incorporating direct and indirect transmission. Zbl 1315.92072
Aïnseba, Bedr’Eddine; Benosman, Chahrazed; Magal, Pierre
26
2010
Integrated semigroups and parabolic equations. I: Linear perburbation of almost sectorial operators. Zbl 1239.35083
Ducrot, Arnaud; Magal, Pierre; Prevost, Kevin
14
2010
Sustained oscillations in an evolutionary epidemiological model of influenza A drift. Zbl 1195.35290
Magal, Pierre; Ruan, Shigui
11
2010
Projectors on the generalized eigenspaces for neutral functional differential equations in \(L^{p}\) spaces. Zbl 1193.34132
Ducrot, Arnaud; Liu, Zhihua; Magal, Pierre
6
2010
Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models. Zbl 1191.35045
Magal, Pierre; Ruan, Shigui
74
2009
On semilinear Cauchy problems with non-dense domain. Zbl 1225.47042
Magal, Pierre; Ruan, Shigui
63
2009
Travelling wave solutions for an infection-age structured model with diffusion. Zbl 1178.35117
Ducrot, A.; Magal, P.
62
2009
Hopf bifurcation in a size-structured population dynamic model with random growth. Zbl 1172.35322
Chu, Jixun; Ducrot, Arnaud; Magal, Pierre; Ruan, Shigui
27
2009
Perturbation of a globally stable steady state and uniform persistence. Zbl 1173.37025
Magal, Pierre
17
2009
Analysis of a model for transfer phenomena in biological populations. Zbl 1201.34092
Hinow, Peter; Le Foll, Frank; Magal, Pierre; Webb, Glenn F.
9
2009
Essential growth rate for bounded linear perturbation of nondensely defined Cauchy problems. Zbl 1142.34036
Ducrot, A.; Liu, Z.; Magal, P.
42
2008
Structured population models in biology and epidemiology. Zbl 1138.92029
32
2008
Projectors on the generalized eigenspaces for functional differential equations using integrated semigroups. Zbl 1178.34072
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
15
2008
On integrated semigroups and age structured models in \(L^p\) spaces. Zbl 1212.35238
Magal, Pierre; Ruan, Shigui
38
2007
Asymptotic behavior in a Salmonella infection model. Zbl 1337.92214
Prévost, K.; Beaumont, C.; Magal, P.
3
2007
Modeling antibiotic resistance in hospitals: the impact of minimizing treatment duration. Zbl 1453.92187
D’Agata, Erika M. C.; Magal, Pierre; Olivier, Damien; Ruan, Shigui; Webb, Glenn F.
1
2007
Asymptotic behavior in nosocomial epidemic models with antibiotic resistance. Zbl 1212.35229
D’Agata, Erika M. C.; Magal, Pierre; Ruan, Shigui; Webb, Glenn
22
2006
Global attractors and steady states for uniformly persistent dynamical systems. Zbl 1128.37016
Magal, Pierre; Zhao, Xiao-Qiang
260
2005
Eventual compactness for semiflows generated by nonlinear age-structured models. Zbl 1083.47061
Magal, P.; Thieme, H. R.
31
2004
Mutation and recombination in a model of phenotype evolution. Zbl 1016.34053
Magal, P.
2
2002
Global stability for differential equations with homogeneous nonlinearity and application to population dynamics. Zbl 1047.34067
Magal, P.
1
2002
Compact attractors for time-periodic age-structured population models. Zbl 0992.35019
Magal, Pierre
90
2001
Optimal control of harvesting in a nonlinear elliptic system arising from population dynamics. Zbl 0982.49005
Cañada, A.; Magal, P.; Montero, J. A.
17
2001
Existence of periodic solutions for a class of delay differential equations with impulses. Zbl 0989.34058
Bachar, M.; Magal, P.
4
2001
A global stabilization result for discrete dynamical systems on a cone. Zbl 1129.47315
Magal, P.
1
2001
Existence of periodic solutions for a state dependent delay differential equation. Zbl 0977.34067
Magal, P.; Arino, O.
20
2000
Mutation, selection, and recombination in a model of phenotype evolution. Zbl 1007.92027
Magal, P.; Webb, G. F.
19
2000
A global attractivity result for a discrete time system, with applications to density dependent population dynamics models. Zbl 1035.37047
Magal, P.
1
2000
A uniqueness result for nontrivial steady states of a density-dependent population dynamics model. Zbl 0939.47063
Magal, P.
2
1999
A fixed point theorem with application to a model of population dynamics. Zbl 0872.47029
Magal, P.; Pelletier, D.
2
1997
all top 5

Cited by 1,026 Authors

51 Magal, Pierre
30 Wang, Feng-Bin
28 Ruan, Shigui
28 Wang, Jinliang
26 Ducrot, Arnaud
26 Liu, Zhihua
22 Yang, Junyuan
20 Kuniya, Toshikazu
20 Zhao, Xiao-Qiang
19 Li, Xuezhi
18 Chen, Yuming
17 Martcheva, Maia
15 Xu, Rui
14 Li, Wan-Tong
14 Wang, Wei
13 Hsu, Szebi
13 Wang, Zhi Cheng
13 Yuan, Rong
12 Jin, Zhen
12 Zhang, Ran
11 Seydi, Ousmane
11 Wang, Weiming
11 Webb, Glenn Francis
11 Wu, Jianhong
10 Bai, Zhenguo
10 Cai, Yongli
10 Fu, Xianlong
10 Liu, Lili
10 Nie, Hua
10 Wei, Jingdong
10 Yang, Feiying
10 Zhou, Jiangbo
9 Cai, Liming
9 Huo, Hai-Feng
9 Liu, Rong
9 Liu, Shengqiang
9 Liu, Xianning
9 Ma, Wanbiao
9 Perasso, Antoine
9 Teng, Zhi-dong
9 Wang, Xia
8 Feng, Zhaosheng
8 Kang, Hao
8 Shi, Junping
8 Sun, Guiquan
8 Tian, Xiaohong
8 Wang, Hao
8 Wu, YiXiang
8 Xiang, Hong
7 Cui, Renhao
7 Diekmann, Odo
7 Duan, Xichao
7 Qiu, Zhipeng
7 Wang, Bin’guo
7 Wang, Xiaoyan
7 Xiao, Yanni
7 Xu, Zhiting
7 Yang, Yu
7 Zhang, Fengqin
7 Zhang, Juan
6 Chekroun, Abdennasser
6 Farkas, József Zoltán
6 Guo, Shangjiang
6 Lin, Guo
6 Lin, Jiazhe
6 Liu, Gui Rong
6 Lou, Yijun
6 Qiang, Lizhong
6 Ren, Xinzhi
6 Richard, Quentin
6 Rong, Libin
6 Tian, Lixin
6 Touaoula, Tarik Mohamed
6 Wu, Jianhua
6 Wu, Peng
6 Yan, Dongxue
6 Yang, Peng
6 Zhang, Xiangming
6 Zhao, Hongyong
6 Zhao, Lin
6 Zhen, Zaili
5 Ackleh, Azmy S.
5 Calsina, Àngel
5 Fu, Xiaoming
5 Gao, Jianguo
5 Griette, Quentin
5 Lai, Xiulan
5 Lam, King-Yeung
5 Li, Mingtao
5 Lou, Yuan
5 Lu, Yanqiong
5 Lv, Yunfei
5 Ma, Ruyun
5 Peng, Rui
5 Song, Xinyu
5 Wang, Jin
5 Wang, Xiunan
5 Wang, Xueying
5 Wang, Yuanshi
5 Zou, Xingfu
...and 926 more Authors
all top 5

Cited in 146 Serials

72 Discrete and Continuous Dynamical Systems. Series B
56 Mathematical Biosciences and Engineering
54 Nonlinear Analysis. Real World Applications
51 Journal of Differential Equations
49 Journal of Mathematical Analysis and Applications
48 Journal of Mathematical Biology
31 International Journal of Biomathematics
26 Applied Mathematics and Computation
25 Bulletin of Mathematical Biology
21 Journal of Biological Dynamics
18 ZAMP. Zeitschrift für angewandte Mathematik und Physik
17 Journal of Dynamics and Differential Equations
16 Mathematical Modelling of Natural Phenomena
15 Mathematical Biosciences
15 Communications on Pure and Applied Analysis
14 Applied Mathematics Letters
14 Communications in Nonlinear Science and Numerical Simulation
13 Applicable Analysis
13 SIAM Journal on Applied Mathematics
13 Journal of Evolution Equations
12 Computers & Mathematics with Applications
12 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
11 Chaos, Solitons and Fractals
10 Physica A
10 Applied Mathematical Modelling
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 Journal of Nonlinear Science
9 Advances in Difference Equations
8 Acta Applicandae Mathematicae
7 SIAM Journal on Mathematical Analysis
7 Complexity
7 Journal of Biological Systems
7 Journal of Theoretical Biology
6 Journal of the Franklin Institute
6 Mathematics and Computers in Simulation
5 Mathematical Methods in the Applied Sciences
5 Proceedings of the American Mathematical Society
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Journal of Applied Mathematics and Computing
4 Nonlinearity
4 Journal of Computational and Applied Mathematics
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Mathematical and Computer Modelling
4 Journal of Difference Equations and Applications
4 Mathematical Control and Related Fields
4 Journal of Applied Analysis and Computation
3 Physica D
3 Acta Mathematicae Applicatae Sinica. English Series
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Calculus of Variations and Partial Differential Equations
3 Discrete and Continuous Dynamical Systems
3 Differential Equations and Dynamical Systems
3 Taiwanese Journal of Mathematics
3 Qualitative Theory of Dynamical Systems
3 Journal of Applied Mathematics
3 SIAM Journal on Applied Dynamical Systems
3 Journal of Nonlinear Science and Applications
2 Journal of Functional Analysis
2 Transactions of the American Mathematical Society
2 Electronic Journal of Differential Equations (EJDE)
2 Computational and Applied Mathematics
2 Mathematical Population Studies
2 Acta Mathematica Sinica. English Series
2 Nonlinear Analysis. Modelling and Control
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Discrete and Continuous Dynamical Systems. Series S
2 International Journal of Differential Equations
2 Science China. Mathematics
2 Symmetry
2 Electronic Research Archive
1 Archive for Rational Mechanics and Analysis
1 International Journal of Control
1 Journal of Statistical Physics
1 Periodica Mathematica Hungarica
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Polonici Mathematici
1 Applied Mathematics and Optimization
1 Canadian Journal of Mathematics
1 Dissertationes Mathematicae
1 Journal of Econometrics
1 Mathematische Annalen
1 Meccanica
1 Memoirs of the American Mathematical Society
1 Numerical Functional Analysis and Optimization
1 Quaestiones Mathematicae
1 Results in Mathematics
1 Ricerche di Matematica
1 Semigroup Forum
1 SIAM Journal on Control and Optimization
1 Studies in Applied Mathematics
1 Systems & Control Letters
1 Chinese Annals of Mathematics. Series B
1 Applied Numerical Mathematics
1 MCSS. Mathematics of Control, Signals, and Systems
1 Journal of Integral Equations and Applications
1 International Journal of Mathematics
1 European Journal of Applied Mathematics
1 Japan Journal of Industrial and Applied Mathematics
...and 46 more Serials

Citations by Year