PUBLICATIONS
PAPERS IN
REFEREED JOURNALS AND PROCEEDINGS
A. Ducrot, P. Magal, O. Seydi , Persistence
of
exponential trichotomy for linear operators: A
Lyapunov-Perron approach , Journal of Dynamics
and Differential Equations (to appear) .
Z.
Liu, P. Magal and H. Tang , Hopf
bifurcation for a spatially and age structured
population dynamics model , DCDS B (to appear) .
A. Ducrot and P. Magal , Asymptotic
behaviour of a non-local
diffusive logistic equation , SIAM Journal on Mathematical Analysis
(to appear ).
A. Ducrot, P. Magal and O. Seydi , A singularly perturbed
Delay Differential Equation modeling nosocomial infections, Differential and Integral Equations (to appear ).
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),
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 & 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 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 , 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.