PUBLICATIONS
BOOKS
- Differential Equations and Population Dynamics II: Advanced Approaches, Lecture Notes on Mathematical Modelling in the Life Sciences, Springer Cham (in preparation)
- Differential Equations and Population Dynamics I: Introductory Approaches, Lecture Notes on Mathematical Modelling in the Life Sciences, Springer Cham (2022) ERRATA
- Theory and Applications of Abstract Semilinear Cauchy Problems, Applied Mathematical Sciences 201 Springer International Publishing (2018). ERRATA
- Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models, Memoirs of the American Mathematical Society, 202 (2009), 1-80.
- Structured Population Models in Biology and Epidemiology, Lecture Notes in Mathematics, Vol. 1936 Springer, Berlin (2008).
PROCEEDINGS (CO-)EDITED
- Theories and Models on COVID-19 Epidemics, Biology, 2020.
- Proceedings of the Workshop on Population Dynamics and Mathematical Biology, Luminy, France, June 2008, Journal of Biological Dynamics, Volume 4, Issue 1, 2010.
- Differential Equations in Mathematical Biology, Discrete and Continuous Dynamical Systems - Series B, Special Issue, Vol. 8, No. 1, 2007.
PAPERS IN REFEREED JOURNALS AND PROCEEDINGS
- Z. Ma, and P. Magal (2024), Global asymptotic stability for Gurtin-MacCamy's population dynamics model, Proceedings of the AMS, 152(2), 765–780.
- P. Magal (2024) A return-to-home model with commuting people and workers, Journal of Mathematical Biology 88:9, 1-41
- J. Demongeot and P. Magal (2023) Population dynamics model for aging, Mathematical Biosciences and Engineering, MBE, 20(11): 19636-19660
- J. Huo, and P. Magal (2023) Speed of convergence to the Perron-Frobenius stationary distribution, Journal of Mathematical Analysis and Applications, 528(2), 127577.
- A. Ducrot, H. Kang, and P. Magal (2023) A short proof for Hopf bifurcation in Gurtin-MacCamy's population dynamics model, Proceedings of the AMS, 151(8), 3561-3575.
- J. Demongeot, Q. Griette, Y. Maday, P. Magal (2023) A Kermack-McKendrick model with age of infection starting from a single or multiple cohorts of infected patients Proceedings of the Royal Society A, 479: 20220381
- J. Demongeot and P. Magal (2022) Spectral method in epidemic time series Biology 2022, 11(12), 1825.
- A. Ducrot, and P. Magal (2022) Return-to-home model for short-range human travel, Mathematical Biosciences and Engineering MBE, 19(8), 7737-7755.
- A. Ducrot, H. Kang, and P. Magal (2022) Hopf bifurcation theorem for second order semi-linear Gurtin-MacCamy equation, J. Evol. Equ. 22, 72, 1-40.
- J. Demongeot, Q. Griette, P. Magal, and G. Webb (2022) Vaccine efficacy for COVID-19 outbreak in New York City Biology 2022, 11(3), 345.
- Q. Griette, Z. Liu, P. Magal and R. N. Thompson (2022) Real-time prediction of the end of an epidemic wave: COVID-19 in China as a case-study, (V. Kumar Murty, Jianhong Wu editors) Mathematics of Public Health, Fields Institute Communications, Springer International Publishing.
- X. Fu, and P. Magal (2022) Asymptotic behavior of a nonlocal advection system with two populations Journal of Dynamics and Differential Equations 34, 2035-2077.
- Q. Griette, J. Demongeot, and P. Magal (2021) What can we learn from COVID-19 data by using epidemic models with unidentified infectious cases? Mathematical Biosciences and Engineering MBE, 19(1): 537–594.
- P. Magal, and O. Seydi (2021) Variation of constants formula and exponential dichotomy for nonautonomous non-densely defined Cauchy problems, Canadian Journal of Mathematics, Volume 73, Issue 5, October 2021, pp. 1347 - 1389.
- Q. Griette, J. Demongeot, and P. Magal (2021) A robust phenomenological approach to investigate COVID-19 data for France Mathematics in Applied Sciences and Engineering, Vol. 2 No. 3 (2021): pp. 149-218.
- P. Magal, O. Seydi, G. Webb, and Y. Wu (2021) A Model of Vaccination for Dengue in the Philippines 2016-2018, Frontiers in Applied Mathematics and Statistics, 01 October 2021.
- A. Ducrot, P. Magal, and A. Thorel (2021) An integrated semigroup approach for age structured equations with diffusion and non-homogeneous boundary conditions, Nonlinear Differential Equations and Applications NoDEA volume 28, Article number: 49.
- X. Fu, Q. Griette, and P. Magal (2021) Sharp discontinuous traveling waves in a hyperbolic Keller-Segel equation, Mathematical Models and Methods in Applied Sciences Vol. 31, No. 05, pp. 861-905. doi
- X. Fu, Q. Griette, and P. Magal (2021) Existence and uniqueness of solutions for a hyperbolic Keller--Segel equation Discrete and Continuous Dynamical Systems - Series B, 26(4): 1931-1966.
- Q. Griette, and P. Magal (2021) Clarifying predictions for COVID-19 from testing data: the example of New-York State, Infectious Disease Modelling, Volume 6, Pages 273-283.
- Z. Liu, and P. Magal (2021) Bogdanov-Takens bifurcation in a predator prey model with age structure, Zeitschrift für angewandte Mathematik und Physik 72, 4.
- Z. Liu, P. Magal, G. Webb (2021) Predicting the number of reported and unreported cases for the COVID-19 epidemics in China, South Korea, Italy, France, Germany and United Kingdom Journal of Theoretical Biology Volume 509, 21.
- P. Magal, O. Seydi, and F.-B. Wang (2021) Positively Invariant Subset for Non-Densely Defined Cauchy Problems Journal of Mathematical Analysis and Applications Volume 494, Issue 2, 15, 124600.
- A. Ducrot, Z. Liu, and P. Magal (2021), Large Speed Traveling Waves for the Rosenzweig-MacArthur predator-prey Model with Spatial Diffusion , Physica D Volume 415, January 2021, 132730.
- A. Ducrot, and P. Magal (2020), Integrated Semigroups and Parabolic Equations, Part II: Semilinear Problems , Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XX (2020), 1071-1111.
- J. Demongeot, Q. Griette, and P. Magal (2020) SI epidemic model applied to COVID-19 data in mainland China Royal Society Open Science 7:201878. doi
- P. Magal, A. Noussair, G. Webb, and Y. Wu (2020) Modeling Epidemic Outbreaks in Geographical Regions: Seasonal Influenza in Puerto Rico , DCDS-S, 13 (12) : 3535-3550.
- S.-B. Hsu, Z. Liu, and P. Magal (2020) A Holling's predator-prey model with handling and searching predators , SIAM Journal on Applied Mathematics, Vol. 80, No. 4, pp. 1778-1795.
- R.M. Cotta, C.P. Naveira-Cotta, and P. Magal (2020) Modelling the COVID-19 epidemics in Brasil: Parametric identification and public health measures influence, Biology, 9(8), 220.
- Q. Griette, P. Magal, and O. Seydi (2020) Unreported cases for Age Dependent COVID-19 Outbreak in Japan , Biology 9, 132.
- P. Magal, G. F. Webb, and Y. Wu (2020) A Spatial Model of Honey Bee Colony Collapse Due to Pesticide Contamination of Foraging Bees, Journal of Mathematical Biology 80, 2363–2393.
- Z. Liu, P. Magal, O. Seydi, and G. Webb (2020) A model to predict COVID-19 epidemics with applications to South Korea, Italy, and Spain , SIAM News May 01, 2020.
- X. Fu, Q. Griette, and P. Magal (2020) A cell-cell repulsion model on a hyperbolic Keller-Segel equation , Journal of Mathematical Biology, 80, 2257–2300.
- Z. Liu, P. Magal, O. Seydi, and G. Webb (2020) Predicting the cumulative number of cases for the COVID-19 epidemic in China from early data , Mathematical Biosciences and Engineering 17(4), 3040-3051.
- Z. Liu, P. Magal, O. Seydi, and G. Webb (2020) A COVID-19 epidemic model with latency period , Infectious Disease Modelling , 5, Pages 323-337.
- Z. Liu, P. Magal, O. Seydi, and G. Webb (2020) Understanding unreported cases in the 2019-nCov epidemic outbreak in Wuhan, China, and the importance of major public health interventions , Biology 9(3), 50.
- Z. Liu, and P. Magal (2020) Functional differential equation with infinite delay in a space of exponentially bounded and uniformly continuous functions , DCDS-B 25(6), 2271-2292.
- P. Magal, G. F. Webb, and Y. Wu (2020) Spatial Spread of Epidemic Diseases in Geographical Settings: Seasonal Influenza Epidemics in Puerto Rico , DCDS-B 25(6), 2185-2202.
- A. Ducrot, P. Magal, T. Nguyen, and G. F. Webb (2020) Identifying the Number of Unreported Cases in SIR Epidemic Models, Mathematical Medicine and Biology: A Journal of the IMA 37, 243–261.
- P. Magal, G. F. Webb, and Y. Wu (2019) An Environmental Model of Honey Bee Colony Collapse Due to Pesticide Contamination, Bulletin of Mathematical Biology , 81, 4908–4931.
- P. Magal, and O. Seydi (2019) Persistence of a normally hyperbolic manifold for a system of non densely defined Cauchy problems, Journal of Differential Equations 267(5), 2950-3008.
- A. Ducrot, and P. Magal (2019) A center manifold for second order semi-linear differential equations on the real line and applications to the existence of wave trains for the Gurtin-McCamy equation, Trans. Amer. Math. Soc. 372, 3487-3537.
- P. Magal, O. Seydi, and F-B. Wang (2019) Monotone abstract non-densely defined Cauchy problems applied to age structured population dynamic models, J. Math. Anal. Appl. 479(1), 450-481.
- J. Dyson, F. Le Foll, P. Magal, A. Noussair, and J. Pasquier (2019) Direct and Indirect P-glycoprotein transfers in MCF7 breast cancer cells, Journal of Theoretical Biology 416(14), 239-253.
- P. Magal, G. F. Webb, and Y. Wu (2019) On the Basic Reproduction Number of Reaction-diffusion Epidemic Models, SIAM J. Appl. Math. 79-1, 284-304.
- P. Magal, and Z. Zhang (2018) A system of state-dependent delay differential equation modelling forest growth I: semi-flow properties, Journal of Evolution Equations 18(4), 1853-1888.
- P. Magal, and G. Webb (2018) The parameter identification problem for SIR epidemic models: Identifying Unreported Cases, Journal of Mathematical Biology 77(6-7), 1629–1648.
- P. Magal, G. Webb, and Y. Wu (2018), On a Vector-host Epidemic Model with Spatial Structure, Nonlinearity 31, 5589–5614.
- A. Ducrot, X. Fu, and P. Magal (2018), Turing and Turing-Hopf bifurcations for a reaction diffusion equation with nonlocal advection, Journal of Nonlinear Sciences 28, 1959-1997.
- P. Magal, and Z. Zhang (2018), A system of state-dependent delay differential equation modelling forest growth II: boundedness of solutions, Nonlinear Analysis Series B: Real World Applications 42, 334-352.
- P. Magal, and Z. Zhang (2018), Numerical simulations of a population dynamic model describing parasite destruction in a wild type pine forest, Ecological Complexity 34, 147-160.
- P. Magal, O. Seydi, and G. Webb (2018), Final size of a multi-group SIR epidemic model: Irreducible and non-irreducible modes of transmission, Mathematical Biosciences 301, 59-67.
- N. Hegoburu, P. Magal, M. Tucsnak (2018), Controllability with positivity constraints of the Lotka-McKendrick system, SIAM J. Control Optim. 56-2, 723-750.
- P. Magal, A. Noussair, J. Pasquier, P. Zongo, and F. Le Foll (2017), A model for transfer of P-glycoproteins in MCF-7 breast cancer cell line with multiple transfer rules, Bulletin of Mathematical Biology 79, 2049-2067.
- P. Magal, and Z. Zhang (2017), Competition for light in forest population dynamics: from computer simulator to mathematical model, Journal of Theoretical Biology 419, 290-304.
- A. Ducrot, P. Magal, and O. Seydi (2017), Singular perturbation for an abstract non-densely defined Cauchy problem, J. Evolution Equations 17(3), Volume 17, 1089–1128.
- P. Magal, O. Seydi, and G. Webb (2016), Final size of an epidemic for a two group SIR model, SIAM Journal on Applied Mathematics, 76, 2042-2059.
- Z. Liu, P. Magal, and D. Xiao (2016), Bogdanov-Takens bifurcation in a predator prey model, Zeitschrift fuer Angewandte Mathematik und Physik 67:137.
- Z. Liu, P. Magal, and S. Ruan (2016), Oscillations in Age-Structured Models of Consumer-Resource Mutualisms, Discrete and Continuous Dynamical Systems - Series B 21(2), 537-555.
- J. Chu, Z. Liu, P. Magal, and S. Ruan (2016), Normal Forms for an Age Structured Model, Journal of Dynamics and Differential Equations 28, 733-761.
- A. Ducrot, P. Magal, and O. Seydi (2016), A singularly perturbed Delay Differential Equation modeling nosocomial infections, Differential and Integral Equations, 29 (3-4), 321-358.
- A. Ducrot, P. Magal, O. Seydi (2016), Persistence of exponential trichotomy for linear operators: A Lyapunov-Perron approach, Journal of Dynamics and Differential Equations 28, 93–126.
- A. Ducrot, P. Magal, and O. Seydi (2015), A finite-time condition for exponential trichotomy in infinite dynamical systems, Canad. J. Math. Vol. 67 (5), 1065–1090.
- Z. Liu, P. Magal, and H. Tang (2015), Hopf bifurcation for a spatially and age structured population dynamics model, DCDS B, 20 (6), 1735-1757.
- G. Webb, C. Browne, X. Huo, O. Seydi, M. Seydi, P. Magal (2015), A Model of the 2014 Ebola Epidemic in West Africa with Contact Tracing, PLOS Currents Outbreaks January 2015.
- X. Fu, Z. Liu, and P. Magal (2015), Hopf bifurcation in an age-structured population model with two delays, Communications on Pure and Applied Analysis, 14 (2) 657-676.
- Z. Liu, P. Magal, and S. Ruan (2014), Normal forms for semilinear equations with non-dense domain with applications to age structured models, J. Differential Equations 257, 921–1011.
- A. Ducrot, and P. Magal (2014), Asymptotic behaviour of a non-local diffusive logistic equation, SIAM Journal on Mathematical Analysis 46(3), 1731–1753.
- P. Magal, and S. Ruan (2014), Susceptible-Infectious-Recovered Models Revisited: From the Individual Level to the Population Level, Mathematical Biosciences 250, 26-40.
- J. Chu, and P. Magal (2013), Hopf bifurcation for a size structured model with resting phase, Discrete and Continuous Dynamical Systems 33(11/12), 4891-4921.
- P. Magal, and C.C. McCluskey (2013), Two group infection age model: an application to nosocomial infection, SIAM J. Appl. Math., 73(2), 1058-1095.
- A. Ducrot, M. Langlais, and P. Magal (2013), Multiple travelling waves for an SI-epidemic model, Networks and Heterogeneous Media (8)1, 171-190.
- A. Ducrot, P. Magal, and S. Ruan (2013), Projectors on the generalized eigenspaces for PDE with delay, in ``Infinite Dimensional Dynamical Systems'', J. Mallet-Paret, J. Wu, Y. Yi, and H. Zhu (eds.), Fields Institute Communications Vol. 64, 353-390.
- Z. Liu, P. Magal, and S. Ruan (2012), Center-unstable manifold theorem for non-densely defined Cauchy problems, and the stability of bifurcation periodic orbits by Hopf bifurcation, Canadian Applied Mathematics Quarterly (20)2, 135-178.
- C. Beaumont, T. Thanh-Son, P. Zongo, A.-F. Viet, P. Magal (2012), Use of integrated studies to appreciate potential benefits from genetic resistance to Salmonella carrier state in fowls, In “Salmonella - Distribution, Adaptation, Control Measures and Molecular Technologies” Edited by B. A. Annous and J. B. Gurtler, InTech, p. 221-238.
- J. Pasquier, L. Galas, C. Boulangé-Lecomte, D. Rioult, F. Bultelle, P. Magal, G. Webb and F. Le Foll (2012), Different modalities of intercellular membrane exchanges mediate cell-to-cell P-glycoprotein transfers in MCF-7 breast cancer cells, Journal of Biological Chemistry Mar 2;287(10):7374-8.
- L. Fumanellia, P. Magal, D. Xiao, and X. Yu (2012), Qualitative analysis of a model for co-culture of bacteria and amoebae, Mathematical Biosciences and Engineering 9, 259-279.
- A. Ducrot, M. Langlais, P. Magal (2012), Qualitative analysis and traveling wave solutions for the SI model with vertical transmission, Communications on Pure and Applied Analysis 11, 97-113.
- J. Wang, L. Wang, P. Magal, Y. Wang, J. Zhuo, X. Lu and S. Ruan (2011), Modeling the Transmission Dynamics of Methicillin-Resistant Staphylococcus Aureus in Beijing Tongren Hospital, Journal of Hospital Infection 79, 302-308.
- A. Ducrot, and P. Magal (2011), Travelling wave solution for infection age structured epidemic model with vital dynamics, Nonlinearity 24, 2891–2911.
- A. Ducrot, P. Magal, O. Seydi (2011), Nonlinear boundary conditions derived by singular pertubation in age structured population dynamics model, Journal of Applied Analysis and Computation 1, 373-395.
- J. Chu, P. Magal, R. Yuan (2011), Hopf bifurcation for a maturity structured population dynamic model, Journal of Nonlinear Science 21, 521-562.
- Z. Liu, P. Magal, and S. Ruan (2011), Hopf Bifurcation for non-densely defined Cauchy problems, Zeitschrift fur Angewandte Mathematik und Physik , 62, 191–222.
- A. Ducrot, F. Le Foll, P. Magal, H. Murakawa, J. Pasquier, G. F. Webb (2011), An in vitro cell population dynamics model incorporating cell size, quiescence, and contact inhibition, Mathematical Models and Methods in Applied Sciences 21, Suppl. 871-892.
- J. Pasquier, P. Magal, C. Boulangé-Lecomte, G. F. Webb, F. Le Foll (2011), Consequences of cell-to-cell P-glycoprotein transfer on acquired multi-drug resistance in breast cancer: a cell population dynamics model, Biology Direct 2011, 6:5 (26 January 2011).
- P. Zongo, A-F. Viet, P. Magal, C. Beaumont (2010), A spatio-temporal model to describe the spread of Salmonella within a laying flock, Journal of Theoretical Biology 267, 595-604.
- A. Ducrot, P. Magal, S. Ruan (2010), Une introduction aux modèles de dynamique de populations structurées en âge et aux problèmes de bifurcations, Gazette des mathématiciens 125, 27-40. (In French)
- P. Magal, C. C. McCluskey, and G. F. Webb (2010), Liapunov functional and global asymptotic stability for an infection-age model, Applicable Analysis 89, 1109 -1140.
- A. Ducrot, P. Magal and K. Prevost (2010), Integrated Semigroups and Parabolic Equations. Part I: Linear Perburbation of Almost Sectorial Operators. Journal of Evolution Equations, 10, 263-291.
- P. Magal, and S. Ruan (2010), Sustained Oscillations in an Evolutionary Epidemiological Model of Influenza A Drift, Proceedings of Royal Society A, 466, 965-992.
- A. Ducrot, Z. Liu, P. Magal (2010), Projectors on the Generalized Eigenspaces for Neutral Functional Differential Equations in Lp Spaces, Canadian Journal of Mathematics, 62, 74-93.
- B. Ainseba, C. Benosman, P. Magal (2010), A model for ovine brucellosis incorporating direct and indirect transmission, Journal of Biological Dynamics, 4, 2-11.
- A. Ducrot, P. Magal and S. Ruan (2010), Travelling Wave Solutions in Multi-group Age- Structured Epidemic Models, Archive for Rational Mechanics and Analysis, 195, 311-331.
- P. Magal, and S. Ruan (2009), Center Manifolds for Semilinear Equations with Non-dense Domain and Applications to Hopf Bifurcation in Age Structured Models, Memoirs of the American Mathematical Society 202, no. 951.
- P. Magal, and S. Ruan (2009), On Semilinear Cauchy Problems with Non-dense Domain, Advances in Differential Equations 14 1041-1084.
- A. Ducrot, P. Magal (2009), Travelling wave solutions for an infection-age structured model with diffusion, Proceedings of the Royal Society of Edinburgh: Section A Mathematics 139 459-482.
- J. Chu, A. Ducrot, P.Magal, S. Ruan (2009), Hopf Bifurcation in a Size Structured Population Dynamic Model with Random Growth, Journal of Differential Equations 247 956-1000.
- P. Hinow, F. Le Foll, P. Magal, G. F. Webb (2009), Analysis of a model for transfer phenomena in biological populations, SIAM J. Appl. Math. 70 40-62.
- P. Magal (2009), Perturbation of a Globally Stable Steady State and Uniform Persistence, Journal of Dynamics and Differential Equations, 21 1-20.
- E. M.C. D'Agata, M. Dupont-Rouzeyrol, P. Magal, D. Olivier, S. Ruan (2008), The Impact of Different Antibiotic Regimens on the Emergence of Antimicrobial-Resistant Bacteria, PLoS ONE 3(12), 1-9.
- Z. Liu, P. Magal, and S. Ruan (2008), Projectors on the generalized eigenspaces for functional differential equations using integrated semigroups, Journal of Differential Equations 244 1784-1809.
- A. Ducrot, Z. Liu, P. Magal (2008), Essential growth rate for bounded linear perturbation of non-densely defined Cauchy problems, J. Math. Anal. Appl. 341 501-518.
- K. Prévost, P. Magal, J. Protais, and C. Beaumont (2008), Effect of hens' genetic resistance to Salmonella carrier-state on incidence of bacterial contamination: synergy with vaccination, Veterinary Research 39:20.
- C. Jacob, and P. Magal (2007), Influence of Routine Slaughtering on the Evolution of BSE: Example of British and French Slaughterings , Risk Anal. 27(5), 1151-67.
- E.M.C. D’Agata, P. Magal, D. Olivier, S. Ruan, G.F. Webb (2007), Modeling Antibiotic Resistance in Hospitals: The Impact of Minimizing Treatment Duration , Journal of Theoretical Biology 249 487-499.
- K. Prevost, C. Beaumont, P. Magal (2007), Asymptotic behavior in a Salmonella Infection Model, Mathematical Modelling of Natural Phenomena, 2, 1, 1-22.
- P. Magal, and S. Ruan (2007), On Integrated Semigroups and Age Structured Models in Lp Spaces, Differential and Integral Equations 20, 2, 197-239.
- K. Prevost, C. Beaumont, P. Magal (2006), A Model of Salmonella infection within hens herd , Journal of Theoretical Biology 242, 755-763.
- E. D'Agata, P. Magal, S. Ruan, and G. F. Webb (2006), Asymptotic behavior in nosocomial epidemic models with antibiotic resistance , Differential and Integral Equations 19, 573-600.
- A. Dutot, P. Magal, D. Olivier, and G. Savin (2006). Pyocyanic bacillus propagation simulation, In Eurosis, editor, European Simulation and Modelling Conference 440-449.
- P. Magal, and X.-Q. Zhao (2005), Global attractors in uniformly persistent dynamical systems , SIAM J. Math. Anal. 37, 251-275.
- G.F. Webb, E. D'Agata, P. Magal, S. Ruan, (2005), A model of antibiotic resistant bacterial epidemics in hospitals , Proceedings of the National Academics of Sciences of the USA, 102, 13343-13348.
- P. Magal, and H.R. Thieme (2004), Eventual compactness for a semiflow generated by an age-structured models, Communications on Pure and Applied Analysis, 3, 695-727.
- P. Magal (2002), Global stability for differential equations with homogeneous nonlinearity and application to population dynamics, Discrete and Continuous Dynamical Systems. (Series B), 2, 541-560.
- P. Magal (2002), Mutation and recombination in a model of phenotype evolution, Journal of Evolution Equations. 2, 21-39.
- P. Magal (2001), Compact attractors for time-periodic age structured population models, Electronic Journal of Differential Equations. 2001, 1-35.
- A. Canada, P. Magal, and J.A. Montero (2001), Optimal control of harvesting in a nonlinear elliptic system arising from population dynamics, J. Math. Anal. Appl. 254, 571-586.
- P. Magal (2001), A global stabilization result for a discrete time dynamical system preserving cone, Journal of Difference Equations and Applications, 7, 231-253.
- M. Bachar, and P. Magal (2001), Existence of periodic solution for a class of delay differential equations with impulses, Fields Institute Communications, 29, 37-49, Amer. Math. Soc., Providence, RI.
- P. Magal (2000), A global attractivity result for a discrete time system, with application to a density dependent population dynamics models. Nonlinear Studies 7, 1-22.
- P. Magal, and O. Arino (2000), Existence of periodics solutions for a state dependent delay differential equation, Journal of Differential Equations, 165, 61-95.
- P. Magal, and G.F. Webb (2000), Mutation, Selection, and Recombination in a model of phenotype evolution, Discrete and Continuous Dynamical Systems (Series A), 6, 221-236.
- P. Magal (1999), A uniqueness result for nontrivial steady state of a density-dependent population dynamics model, J. Math. Anal. Appl. 233,148-168.
- P. Magal (1998), Global asymptotic behavior for a discrete model of population dynamics, J. Difference Equ. Appl. 4, 67-92.
- P. Magal (1997), A global attractivity result for delay difference equation. Proceedings of the Second international conference on difference equations and applications, 427-437.
- P. Magal, and D. Pelletier (1997), A fixed point theorem with application to a model of population dynamics, J. Difference Equ. Appl. 3, 65-87.
- D. Pelletier, and P. Magal (1996), Dynamics of a migratory population under different fishing effort allocation schemes in time and space, Can. J. Fish. Aquat. Sci. 53, 1186-1199.
SUPLEMENTARY MATERIAL
- P. Magal, and O. Arino (1999), A semi-ejective fixed point theorem, (Suplementary material to Magal and Arino JDE 2000)).