PAPERS IN
REFEREED JOURNALS AND PROCEEDINGS

Direct and Indirect P-glycoprotein transfers in MCF7 breast cancer cells,**J. Dyson, F. Le Foll, P. Magal, A. Noussair and J. Pasquier,***Journal of Theoretical Biology**(to appear)*Integrated Semigroups and Parabolic Equations, Part II: Semilinear Problems,**A. Ducrot and P. Magal,***Annali della Scuola Normale Superiore di Pisa-Classe di Scienze (to appear)***P. Magal and Z. Zhang**, A system of state-dependent delay differential equation modelling forest growth I: semi-flow properties,*Journal of Evolution Equations (to appear)*

The parameter identification problem for SIR epidemic models: Identifying Unreported Cases,**P. Magal and G. Webb**,*Journal of Mathematical Biology (to appear)*

**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**, 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.Persistence of exponential trichotomy for linear operators: A Lyapunov-Perron approach,**A. Ducrot, P. Magal, O. Seydi (2016)**,*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. Tan****g****(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****(2****014),**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 Quarterl**y***(20)2**, 135-178.**C. Beaumont, T. Thanh-Son, P. Zongo, A.-F. Viet, P. Magal (2012),***“**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 & 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. Fumanelli****a****, 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 L^{p}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***,**rchive 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****, 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 L^{p}Spaces,*Differential**and Integral Equations***20**, 2, 197-139.**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.

**P. Magal and O. Arino (1999),**A semi-ejective fixed point theorem. (Suplementary material to Magal and Arino JDE 2000)).