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## Magal, Pierre

Compute Distance To:
 Author ID: magal.pierre Published as: Magal, Pierre; Magal, P.
 Documents Indexed: 94 Publications since 1997, including 4 Books Reviewing Activity: 5 Reviews
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#### Co-Authors

 9 single-authored 23 Ruan, Shigui 21 Ducrot, Arnaud 18 Webb, Glenn Francis 16 Liu, Zhihua 12 Seydi, Ousmane 6 Wu, YiXiang 4 Chu, Jixun 4 Le Foll, Frank 3 Beaumont, Catherine 3 Fu, Xiaoming 3 Noussair, Ahmed 3 Pasquier, Jennifer 3 Prevost, Kevin 3 Zhang, Zhengyang 2 D’Agata, Erika M. C. 2 Griette, Quentin 2 Hinow, Peter 2 Langlais, Michel R. 2 McCluskey, Connell C. 2 Wang, Feng-Bin 2 Xiao, Dongmei 2 Zongo, Pascal 1 Ainseba, Bedr’Eddine 1 Arino, Ovide 1 Bachar, Mostafa 1 Benosman, Chahrazed 1 Cañada Villar, Antonio 1 Dyson, Janet 1 Fu, Xianlong 1 Fumanelli, Laura 1 Gerardo-Giorda, Luca 1 Hegoburu, Nicolas 1 Hsu, Szebi 1 Montero, Juan A. 1 Murakawa, Hideki 1 Olivier, Damien 1 Tang, Hui 1 Thieme, Horst R. 1 Tucsnak, Marius 1 Viet, Anne-France 1 Yu, Xiao 1 Yuan, Rong 1 Zhao, Xiao-Qiang
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#### 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 4 Journal of Evolution Equations 3 Journal of Mathematical Biology 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Differential and Integral Equations 3 Journal of Dynamics and Differential Equations 3 Journal of Difference Equations and Applications 3 Communications on Pure and Applied Analysis 3 Mathematical Biosciences and Engineering 2 Mathematical Biosciences 2 Nonlinearity 2 Bulletin of Mathematical Biology 2 Canadian Journal of Mathematics 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 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 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 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
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#### Fields

 70 Biology and other natural sciences (92-XX) 46 Partial differential equations (35-XX) 28 Ordinary differential equations (34-XX) 25 Operator theory (47-XX) 18 Dynamical systems and ergodic theory (37-XX) 5 General and overarching topics; collections (00-XX) 5 Difference and functional equations (39-XX) 2 Systems theory; control (93-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

73 Publications have been cited 1,283 times in 691 Documents Cited by Year
Global attractors and steady states for uniformly persistent dynamical systems. Zbl 1128.37016
Magal, Pierre; Zhao, Xiao-Qiang
2005
Lyapunov functional and global asymptotic stability for an infection-age model. Zbl 1208.34126
Magal, P.; McCluskey, C. C.; Webb, G. F.
2010
Compact attractors for time-periodic age-structured population models. Zbl 0992.35019
Magal, Pierre
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
2009
On semilinear Cauchy problems with non-dense domain. Zbl 1225.47042
Magal, Pierre; Ruan, Shigui
2009
Travelling wave solutions for an infection-age structured model with diffusion. Zbl 1178.35117
Ducrot, A.; Magal, P.
2009
Travelling wave solutions for an infection-age structured epidemic model with external supplies. Zbl 1227.92044
Ducrot, Arnaud; Magal, Pierre
2011
Travelling wave solutions in multigroup age-structured epidemic models. Zbl 1181.92071
Ducrot, Arnaut; Magal, Pierre; Ruan, Shigui
2010
Hopf bifurcation for non-densely defined Cauchy problems. Zbl 1242.34112
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
2011
Essential growth rate for bounded linear perturbation of nondensely defined Cauchy problems. Zbl 1142.34036
Ducrot, A.; Liu, Z.; Magal, P.
2008
Two-group infection age model including an application to nosocomial infection. Zbl 1307.35306
Magal, Pierre; McCluskey, Connell
2013
On integrated semigroups and age structured models in $$L^p$$ spaces. Zbl 1212.35238
Magal, Pierre; Ruan, Shigui
2007
Qualitative analysis and travelling wave solutions for the SI model with vertical transmission. Zbl 1264.35254
Ducrot, Arnaud; Langlais, Michel; Magal, Pierre
2012
Theory and applications of abstract semilinear Cauchy problems. Zbl 1447.34002
Magal, Pierre; Ruan, Shigui
2018
Eventual compactness for semiflows generated by nonlinear age-structured models. Zbl 1083.47061
Magal, P.; Thieme, H. R.
2004
Structured population models in biology and epidemiology. Zbl 1138.92029
Magal, Pierre (ed.); Ruan, Shigui (ed.)
2008
Hopf bifurcation in a size-structured population dynamic model with random growth. Zbl 1172.35322
Chu, Jixun; Ducrot, Arnaud; Magal, Pierre; Ruan, Shigui
2009
A model for ovine brucellosis incorporating direct and indirect transmission. Zbl 1315.92072
Aïnseba, Bedr’Eddine; Benosman, Chahrazed; Magal, Pierre
2010
Existence of periodic solutions for a state dependent delay differential equation. Zbl 0977.34067
Magal, P.; Arino, O.
2000
Asymptotic behavior in nosocomial epidemic models with antibiotic resistance. Zbl 1212.35229
D’Agata, Erika M. C.; Magal, Pierre; Ruan, Shigui; Webb, Glenn
2006
Mutation, selection, and recombination in a model of phenotype evolution. Zbl 1007.92027
Magal, P.; Webb, G. F.
2000
Optimal control of harvesting in a nonlinear elliptic system arising from population dynamics. Zbl 0982.49005
Cañada, A.; Magal, P.; Montero, J. A.
2001
Normal forms for semilinear equations with non-dense domain with applications to age structured models. Zbl 1347.37125
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
2014
On a vector-host epidemic model with spatial structure. Zbl 1408.35199
Magal, Pierre; Webb, Glenn; Wu, Yixiang
2018
Perturbation of a globally stable steady state and uniform persistence. Zbl 1173.37025
Magal, Pierre
2009
Projectors on the generalized eigenspaces for functional differential equations using integrated semigroups. Zbl 1178.34072
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
2008
Integrated semigroups and parabolic equations. I: Linear perburbation of almost sectorial operators. Zbl 1239.35083
Ducrot, Arnaud; Magal, Pierre; Prevost, Kevin
2010
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.
2011
On the basic reproduction number of reaction-diffusion epidemic models. Zbl 1407.35113
Magal, Pierre; Webb, Glenn F.; Wu, Yixiang
2019
Sustained oscillations in an evolutionary epidemiological model of influenza A drift. Zbl 1195.35290
Magal, Pierre; Ruan, Shigui
2010
Oscillations in age-structured models of consumer-resource mutualisms. Zbl 1330.35473
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
2016
Projectors on the generalized eigenspaces for partial differential equations with time delay. Zbl 1272.35118
Ducrot, Arnaut; Magal, Pierre; Ruan, Shigui
2012
Final size of an epidemic for a two-group SIR model. Zbl 1350.92053
Magal, Pierre; Seydi, Ousmane; Webb, Glenn
2016
Analysis of a model for transfer phenomena in biological populations. Zbl 1201.34092
Hinow, Peter; Le Foll, Frank; Magal, Pierre; Webb, Glenn F.
2009
Normal forms for an age structured model. Zbl 1350.35021
Chu, Jixun; Liu, Zhihua; Magal, Pierre; Ruan, Shigui
2016
Controllability with positivity constraints of the Lotka-McKendrick system. Zbl 1390.93140
Hegoburu, Nicolas; Magal, Pierre; Tucsnak, Marius
2018
Turing and Turing-Hopf bifurcations for a reaction diffusion equation with nonlocal advection. Zbl 1403.35129
Ducrot, Arnaud; Fu, Xiaoming; Magal, Pierre
2018
The parameter identification problem for SIR epidemic models: identifying unreported cases. Zbl 1404.92194
Magal, Pierre; Webb, Glenn
2018
Hopf bifurcation for a size-structured model with resting phase. Zbl 1277.35040
Chu, Jixun; Magal, Pierre
2013
Bogdanov-Takens bifurcation in a predator-prey model. Zbl 1358.35205
Liu, Zhihua; Magal, Pierre; Xiao, Dongmei
2016
Projectors on the generalized eigenspaces for neutral functional differential equations in $$L^{p}$$ spaces. Zbl 1193.34132
Ducrot, Arnaud; Liu, Zhihua; Magal, Pierre
2010
Hopf bifurcation for a spatially and age structured population dynamics model. Zbl 1348.37112
Liu, Zhihua; Tang, Hui; Magal, Pierre
2015
Persistence of exponential trichotomy for linear operators: a Lyapunov-Perron approach. Zbl 1359.39001
Ducrot, A.; Magal, P.; Seydi, O.
2016
Hopf bifurcation for a maturity structured population dynamic model. Zbl 1229.35011
Chu, Jixun; Magal, Pierre; Yuan, Rong
2011
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
2018
Center-unstable manifolds for nondensely defined Cauchy problems and applications to stability of Hopf bifurcation. Zbl 1341.34062
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
2012
Existence of periodic solutions for a class of delay differential equations with impulses. Zbl 0989.34058
Bachar, M.; Magal, P.
2001
Competition for light in forest population dynamics: from computer simulator to mathematical model. Zbl 1370.92140
Magal, Pierre; Zhang, Zhengyang
2017
Nonlinear boundary conditions derived by singular pertubation in age structured population dynamics model. Zbl 1304.92109
Ducrot, Arnaud; Magal, Pierre; Seydi, Ousmane
2011
Hopf bifurcation in an age-structured population model with two delays. Zbl 1314.35195
Fu, Xianlong; Liu, Zhihua; Magal, Pierre
2015
Asymptotic behavior of a nonlocal diffusive logistic equation. Zbl 1309.37081
Ducrot, Arnaud; Magal, Pierre
2014
A system of state-dependent delay differential equation modelling forest growth. II: Boundedness of solutions. Zbl 1404.92160
Magal, Pierre; Zhang, Zhengyang
2018
Monotone abstract non-densely defined Cauchy problems applied to age structured population dynamic models. Zbl 1420.92096
Magal, Pierre; Seydi, Ousmane; Wang, Feng-Bin
2019
A finite-time condition for exponential trichotomy in infinite dynamical systems. Zbl 1352.37041
Ducrot, Arnaud; Magal, Pierre; Seydi, Ousmane
2015
Spatial spread of epidemic diseases in geographical settings: seasonal influenza epidemics in Puerto Rico. Zbl 1433.92060
Magal, Pierre; Webb, Glenn F.; Wu, Yixiang
2020
Asymptotic behavior in a Salmonella infection model. Zbl 1337.92214
Prévost, K.; Beaumont, C.; Magal, P.
2007
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.
2021
Multiple travelling waves for an SI-epidemic model. Zbl 1270.35168
Ducrot, Arnaud; Langlais, Michel; Magal, Pierre
2013
A system of state-dependent delay differential equation modeling forest growth. I: Semiflow properties. Zbl 1416.35278
Magal, Pierre; Zhang, Zhengyang
2018
A fixed point theorem with application to a model of population dynamics. Zbl 0872.47029
Magal, P.; Pelletier, D.
1997
Mutation and recombination in a model of phenotype evolution. Zbl 1016.34053
Magal, P.
2002
Susceptible-infectious-recovered models revisited: from the individual level to the population level. Zbl 1315.92081
Magal, Pierre; Ruan, Shigui
2014
A uniqueness result for nontrivial steady states of a density-dependent population dynamics model. Zbl 0939.47063
Magal, P.
1999
An environmental model of honey bee colony collapse due to pesticide contamination. Zbl 1442.92193
Magal, P.; Webb, G. F.; Wu, Yixiang
2019
A Holling predator-prey model with handling and searching predators. Zbl 1450.34033
Hsu, Sze-Bi; Liu, Zhihua; Magal, Pierre
2020
Global stability for differential equations with homogeneous nonlinearity and application to population dynamics. Zbl 1047.34067
Magal, P.
2002
A global stabilization result for discrete dynamical systems on a cone. Zbl 1129.47315
Magal, P.
2001
A global attractivity result for a discrete time system, with applications to density dependent population dynamics models. Zbl 1035.37047
Magal, P.
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.
2017
Singular perturbation for an abstract non-densely defined Cauchy problem. Zbl 1387.34089
Ducrot, Arnaud; Magal, Pierre; Seydi, Ousmane
2017
Functional differential equation with infinite delay in a space of exponentially bounded and uniformly continuous functions. Zbl 1443.34082
Liu, Zhihua; Magal, Pierre
2020
A cell-cell repulsion model on a hyperbolic Keller-Segel equation. Zbl 1437.92018
Fu, Xiaoming; Griette, Quentin; Magal, Pierre
2020
A singularly perturbed delay differential equation modeling nosocomial infections. Zbl 1389.34256
Ducrot, A.; Magal, P.; Seydi, O.
2016
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.
2021
Spatial spread of epidemic diseases in geographical settings: seasonal influenza epidemics in Puerto Rico. Zbl 1433.92060
Magal, Pierre; Webb, Glenn F.; Wu, Yixiang
2020
A Holling predator-prey model with handling and searching predators. Zbl 1450.34033
Hsu, Sze-Bi; Liu, Zhihua; Magal, Pierre
2020
Functional differential equation with infinite delay in a space of exponentially bounded and uniformly continuous functions. Zbl 1443.34082
Liu, Zhihua; Magal, Pierre
2020
A cell-cell repulsion model on a hyperbolic Keller-Segel equation. Zbl 1437.92018
Fu, Xiaoming; Griette, Quentin; Magal, Pierre
2020
On the basic reproduction number of reaction-diffusion epidemic models. Zbl 1407.35113
Magal, Pierre; Webb, Glenn F.; Wu, Yixiang
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
2019
An environmental model of honey bee colony collapse due to pesticide contamination. Zbl 1442.92193
Magal, P.; Webb, G. F.; Wu, Yixiang
2019
Theory and applications of abstract semilinear Cauchy problems. Zbl 1447.34002
Magal, Pierre; Ruan, Shigui
2018
On a vector-host epidemic model with spatial structure. Zbl 1408.35199
Magal, Pierre; Webb, Glenn; Wu, Yixiang
2018
Controllability with positivity constraints of the Lotka-McKendrick system. Zbl 1390.93140
Hegoburu, Nicolas; Magal, Pierre; Tucsnak, Marius
2018
Turing and Turing-Hopf bifurcations for a reaction diffusion equation with nonlocal advection. Zbl 1403.35129
Ducrot, Arnaud; Fu, Xiaoming; Magal, Pierre
2018
The parameter identification problem for SIR epidemic models: identifying unreported cases. Zbl 1404.92194
Magal, Pierre; Webb, Glenn
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
2018
A system of state-dependent delay differential equation modelling forest growth. II: Boundedness of solutions. Zbl 1404.92160
Magal, Pierre; Zhang, Zhengyang
2018
A system of state-dependent delay differential equation modeling forest growth. I: Semiflow properties. Zbl 1416.35278
Magal, Pierre; Zhang, Zhengyang
2018
Competition for light in forest population dynamics: from computer simulator to mathematical model. Zbl 1370.92140
Magal, Pierre; Zhang, Zhengyang
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.
2017
Singular perturbation for an abstract non-densely defined Cauchy problem. Zbl 1387.34089
Ducrot, Arnaud; Magal, Pierre; Seydi, Ousmane
2017
Oscillations in age-structured models of consumer-resource mutualisms. Zbl 1330.35473
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
2016
Final size of an epidemic for a two-group SIR model. Zbl 1350.92053
Magal, Pierre; Seydi, Ousmane; Webb, Glenn
2016
Normal forms for an age structured model. Zbl 1350.35021
Chu, Jixun; Liu, Zhihua; Magal, Pierre; Ruan, Shigui
2016
Bogdanov-Takens bifurcation in a predator-prey model. Zbl 1358.35205
Liu, Zhihua; Magal, Pierre; Xiao, Dongmei
2016
Persistence of exponential trichotomy for linear operators: a Lyapunov-Perron approach. Zbl 1359.39001
Ducrot, A.; Magal, P.; Seydi, O.
2016
A singularly perturbed delay differential equation modeling nosocomial infections. Zbl 1389.34256
Ducrot, A.; Magal, P.; Seydi, O.
2016
Hopf bifurcation for a spatially and age structured population dynamics model. Zbl 1348.37112
Liu, Zhihua; Tang, Hui; Magal, Pierre
2015
Hopf bifurcation in an age-structured population model with two delays. Zbl 1314.35195
Fu, Xianlong; Liu, Zhihua; Magal, Pierre
2015
A finite-time condition for exponential trichotomy in infinite dynamical systems. Zbl 1352.37041
Ducrot, Arnaud; Magal, Pierre; Seydi, Ousmane
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
2014
Asymptotic behavior of a nonlocal diffusive logistic equation. Zbl 1309.37081
Ducrot, Arnaud; Magal, Pierre
2014
Susceptible-infectious-recovered models revisited: from the individual level to the population level. Zbl 1315.92081
Magal, Pierre; Ruan, Shigui
2014
Two-group infection age model including an application to nosocomial infection. Zbl 1307.35306
Magal, Pierre; McCluskey, Connell
2013
Hopf bifurcation for a size-structured model with resting phase. Zbl 1277.35040
Chu, Jixun; Magal, Pierre
2013
Multiple travelling waves for an SI-epidemic model. Zbl 1270.35168
Ducrot, Arnaud; Langlais, Michel; Magal, Pierre
2013
Qualitative analysis and travelling wave solutions for the SI model with vertical transmission. Zbl 1264.35254
Ducrot, Arnaud; Langlais, Michel; Magal, Pierre
2012
Projectors on the generalized eigenspaces for partial differential equations with time delay. Zbl 1272.35118
Ducrot, Arnaut; Magal, Pierre; Ruan, Shigui
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
2012
Travelling wave solutions for an infection-age structured epidemic model with external supplies. Zbl 1227.92044
Ducrot, Arnaud; Magal, Pierre
2011
Hopf bifurcation for non-densely defined Cauchy problems. Zbl 1242.34112
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
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.
2011
Hopf bifurcation for a maturity structured population dynamic model. Zbl 1229.35011
Chu, Jixun; Magal, Pierre; Yuan, Rong
2011
Nonlinear boundary conditions derived by singular pertubation in age structured population dynamics model. Zbl 1304.92109
Ducrot, Arnaud; Magal, Pierre; Seydi, Ousmane
2011
Lyapunov functional and global asymptotic stability for an infection-age model. Zbl 1208.34126
Magal, P.; McCluskey, C. C.; Webb, G. F.
2010
Travelling wave solutions in multigroup age-structured epidemic models. Zbl 1181.92071
Ducrot, Arnaut; Magal, Pierre; Ruan, Shigui
2010
A model for ovine brucellosis incorporating direct and indirect transmission. Zbl 1315.92072
Aïnseba, Bedr&rsquo;Eddine; Benosman, Chahrazed; Magal, Pierre
2010
Integrated semigroups and parabolic equations. I: Linear perburbation of almost sectorial operators. Zbl 1239.35083
Ducrot, Arnaud; Magal, Pierre; Prevost, Kevin
2010
Sustained oscillations in an evolutionary epidemiological model of influenza A drift. Zbl 1195.35290
Magal, Pierre; Ruan, Shigui
2010
Projectors on the generalized eigenspaces for neutral functional differential equations in $$L^{p}$$ spaces. Zbl 1193.34132
Ducrot, Arnaud; Liu, Zhihua; Magal, Pierre
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
2009
On semilinear Cauchy problems with non-dense domain. Zbl 1225.47042
Magal, Pierre; Ruan, Shigui
2009
Travelling wave solutions for an infection-age structured model with diffusion. Zbl 1178.35117
Ducrot, A.; Magal, P.
2009
Hopf bifurcation in a size-structured population dynamic model with random growth. Zbl 1172.35322
Chu, Jixun; Ducrot, Arnaud; Magal, Pierre; Ruan, Shigui
2009
Perturbation of a globally stable steady state and uniform persistence. Zbl 1173.37025
Magal, Pierre
2009
Analysis of a model for transfer phenomena in biological populations. Zbl 1201.34092
Hinow, Peter; Le Foll, Frank; Magal, Pierre; Webb, Glenn F.
2009
Essential growth rate for bounded linear perturbation of nondensely defined Cauchy problems. Zbl 1142.34036
Ducrot, A.; Liu, Z.; Magal, P.
2008
Structured population models in biology and epidemiology. Zbl 1138.92029
Magal, Pierre; Ruan, Shigui
2008
Projectors on the generalized eigenspaces for functional differential equations using integrated semigroups. Zbl 1178.34072
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
2008
On integrated semigroups and age structured models in $$L^p$$ spaces. Zbl 1212.35238
Magal, Pierre; Ruan, Shigui
2007
Asymptotic behavior in a Salmonella infection model. Zbl 1337.92214
Prévost, K.; Beaumont, C.; Magal, P.
2007
Asymptotic behavior in nosocomial epidemic models with antibiotic resistance. Zbl 1212.35229
D&rsquo;Agata, Erika M. C.; Magal, Pierre; Ruan, Shigui; Webb, Glenn
2006
Global attractors and steady states for uniformly persistent dynamical systems. Zbl 1128.37016
Magal, Pierre; Zhao, Xiao-Qiang
2005
Eventual compactness for semiflows generated by nonlinear age-structured models. Zbl 1083.47061
Magal, P.; Thieme, H. R.
2004
Mutation and recombination in a model of phenotype evolution. Zbl 1016.34053
Magal, P.
2002
Global stability for differential equations with homogeneous nonlinearity and application to population dynamics. Zbl 1047.34067
Magal, P.
2002
Compact attractors for time-periodic age-structured population models. Zbl 0992.35019
Magal, Pierre
2001
Optimal control of harvesting in a nonlinear elliptic system arising from population dynamics. Zbl 0982.49005
Cañada, A.; Magal, P.; Montero, J. A.
2001
Existence of periodic solutions for a class of delay differential equations with impulses. Zbl 0989.34058
Bachar, M.; Magal, P.
2001
A global stabilization result for discrete dynamical systems on a cone. Zbl 1129.47315
Magal, P.
2001
Existence of periodic solutions for a state dependent delay differential equation. Zbl 0977.34067
Magal, P.; Arino, O.
2000
Mutation, selection, and recombination in a model of phenotype evolution. Zbl 1007.92027
Magal, P.; Webb, G. F.
2000
A global attractivity result for a discrete time system, with applications to density dependent population dynamics models. Zbl 1035.37047
Magal, P.
2000
A uniqueness result for nontrivial steady states of a density-dependent population dynamics model. Zbl 0939.47063
Magal, P.
1999
A fixed point theorem with application to a model of population dynamics. Zbl 0872.47029
Magal, P.; Pelletier, D.
1997
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#### Cited by 809 Authors

 44 Magal, Pierre 26 Wang, Feng-Bin 25 Ruan, Shigui 23 Liu, Zhihua 22 Ducrot, Arnaud 22 Wang, Jinliang 20 Yang, Junyuan 17 Li, Xuezhi 16 Kuniya, Toshikazu 16 Zhao, Xiao-Qiang 15 Chen, Yuming 15 Martcheva, Maia 14 Li, Wan-Tong 12 Hsu, Szebi 11 Webb, Glenn Francis 10 Jin, Zhen 10 Wang, Zhi Cheng 10 Wu, Jianhong 10 Xu, Rui 10 Yang, Feiying 9 Liu, Xianning 9 Ma, Wanbiao 9 Seydi, Ousmane 9 Wang, Wei 9 Wang, Xia 9 Yuan, Rong 8 Cai, Liming 8 Liu, Lili 8 Nie, Hua 8 Perasso, Antoine 8 Shi, Junping 8 Wang, Weiming 8 Wu, YiXiang 7 Bai, Zhenguo 7 Cai, Yongli 7 Fu, Xianlong 7 Liu, Rong 7 Liu, Shengqiang 7 Qiu, Zhipeng 7 Wang, Xiaoyan 7 Wei, Jingdong 7 Xu, Zhiting 7 Zhang, Ran 7 Zhou, Jiangbo 6 Diekmann, Odo 6 Duan, Xichao 6 Feng, Zhaosheng 6 Huo, Hai-Feng 6 Lou, Yijun 6 Rong, Libin 6 Yang, Peng 6 Yang, Yu 6 Zhang, Fengqin 6 Zhao, Lin 5 Farkas, József Zoltán 5 Lam, King-Yeung 5 Liu, Gui Rong 5 Lu, Yanqiong 5 Ma, Ruyun 5 Ren, Xinzhi 5 Richard, Quentin 5 Song, Xinyu 5 Sun, Guiquan 5 Tian, Xiaohong 5 Touaoula, Tarik Mohamed 5 Wang, Bin’guo 5 Wang, Yuanshi 5 Wu, Jianhua 5 Xiang, Hong 5 Xiao, Yanni 5 Yan, Dongxue 5 Zhang, Juan 5 Zou, Xingfu 4 Ackleh, Azmy S. 4 Burie, Jean-Baptiste 4 Calsina, Àngel 4 Chekroun, Abdennasser 4 Chen, Ruipeng 4 Chen, Shanshan 4 Chu, Jixun 4 Cui, Renhao 4 Dang, Yanxia 4 Fang, Bin 4 Hegoburu, Nicolas 4 Hou, Qiang 4 Hsu, Cheng-Hsiung 4 Kang, Hao 4 Lai, Xiulan 4 Lin, Guo 4 Lin, Jiazhe 4 Peng, Rui 4 Sun, Xiang-Dong 4 Teng, Zhi-dong 4 Thieme, Horst R. 4 Tian, Lixin 4 Wang, Hao 4 Wang, Jin 4 Wang, Xiunan 4 Wang, Xueying 4 Zhang, Suxia ...and 709 more Authors
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#### Cited in 128 Serials

 60 Discrete and Continuous Dynamical Systems. Series B 48 Journal of Differential Equations 44 Nonlinear Analysis. Real World Applications 41 Journal of Mathematical Analysis and Applications 39 Journal of Mathematical Biology 25 Mathematical Biosciences and Engineering 24 Applied Mathematics and Computation 23 International Journal of Biomathematics 20 Bulletin of Mathematical Biology 20 Journal of Biological Dynamics 16 Mathematical Modelling of Natural Phenomena 13 Mathematical Biosciences 13 Journal of Dynamics and Differential Equations 12 Journal of Evolution Equations 11 Computers & Mathematics with Applications 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 SIAM Journal on Applied Mathematics 10 Communications in Nonlinear Science and Numerical Simulation 9 Applicable Analysis 9 Applied Mathematics Letters 9 Communications on Pure and Applied Analysis 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Journal of Nonlinear Science 7 Complexity 7 Journal of Biological Systems 7 Advances in Difference Equations 6 Journal of the Franklin Institute 6 Acta Applicandae Mathematicae 6 Applied Mathematical Modelling 6 SIAM Journal on Mathematical Analysis 6 Journal of Theoretical Biology 5 Mathematical Methods in the Applied Sciences 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Nonlinearity 4 Chaos, Solitons and Fractals 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Mathematical and Computer Modelling 4 Mathematical Control and Related Fields 4 Journal of Applied Analysis and Computation 3 Journal of Computational and Applied Mathematics 3 Proceedings of the American Mathematical Society 3 Journal of Difference Equations and Applications 3 Journal of Applied Mathematics 3 Journal of Applied Mathematics and Computing 3 SIAM Journal on Applied Dynamical Systems 3 Journal of Nonlinear Science and Applications 2 Transactions of the American Mathematical Society 2 Acta Mathematicae Applicatae Sinica. English Series 2 Calculus of Variations and Partial Differential Equations 2 Computational and Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 Mathematical Population Studies 2 Taiwanese Journal of Mathematics 2 Acta Mathematica Sinica. English Series 2 International Journal of Differential Equations 2 Symmetry 2 Electronic Research Archive 1 Archive for Rational Mechanics and Analysis 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 Dissertationes Mathematicae 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Econometrics 1 Journal of Functional Analysis 1 Mathematics and Computers in Simulation 1 Meccanica 1 Memoirs of the American Mathematical Society 1 Numerical Functional Analysis and Optimization 1 Results in Mathematics 1 Ricerche di Matematica 1 SIAM Journal on Control and Optimization 1 Studies in Applied Mathematics 1 Physica D 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 Japan Journal of Industrial and Applied Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Applied Mathematics. Series B (English Edition) 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Journal of Mathematical Chemistry 1 Differential Equations and Dynamical Systems 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Positivity 1 Matematychni Studiï 1 Chaos 1 Far East Journal of Applied Mathematics 1 Mathematical and Computer Modelling of Dynamical Systems 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences ...and 28 more Serials
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#### Cited in 35 Fields

 586 Biology and other natural sciences (92-XX) 387 Partial differential equations (35-XX) 199 Ordinary differential equations (34-XX) 112 Dynamical systems and ergodic theory (37-XX) 58 Operator theory (47-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 21 Integral equations (45-XX) 20 Numerical analysis (65-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Systems theory; control (93-XX) 11 Probability theory and stochastic processes (60-XX) 8 Difference and functional equations (39-XX) 5 General and overarching topics; collections (00-XX) 4 Functional analysis (46-XX) 4 Mechanics of deformable solids (74-XX) 3 Statistics (62-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Integral transforms, operational calculus (44-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)