Monotone travelling fronts in an age-structured reaction-diffusion model of a single species, Journal of Mathematical Biology, vol.45, pp.294-312, 2002. ,
Traveling wave fronts for generalized Fisher equations with spatio-temporal delays, Journal of Differential Equations, vol.232, pp.104-133, 2007. ,
DOI : 10.1016/j.jde.2006.08.015
URL : https://doi.org/10.1016/j.jde.2006.08.015
Optimal control for a nonlinear age-structured population dynamics model, Electronic Journal of Differential Equations, vol.28, pp.1-9, 2002. ,
Internal exact controllability of the linear population dynamics with diffusion, Electronic Journal of Differential Equations, vol.112, pp.1-11, 2004. ,
Local exact controllability of the age-dependent population dynamics with diffusion, Abstract and Applied Analysis, vol.6, pp.357-368, 2001. ,
Sur un problème de contrôle d'une population structurée en âge et en espace, Comptes rendus de l'Académie des sciences Série 1, Mathématique, vol.323, pp.269-274, 1996. ,
On a population dynamics control problem with age dependence and spatial structure, Journal of Mathematical Analysis and Applications, vol.248, pp.455-474, 2000. ,
DOI : 10.1006/jmaa.2000.6921
URL : https://doi.org/10.1006/jmaa.2000.6921
Exact controllability of a nonlinear population-dynamics problem, Differential and Integral Equations, vol.16, pp.1369-1384, 2003. ,
URL : https://hal.archives-ouvertes.fr/hal-00547045
Dual semigroups and second-order linear elliptic boundary value problems, Israel Journal of Mathematics, vol.45, pp.225-254, 1983. ,
DOI : 10.1007/bf02774019
Optimal harvesting for periodic age-dependent population dynamics with logistic term, Applied Mathematics and Computation, vol.215, pp.2701-2715, 2009. ,
Optimal control of a nonlinear population dynamics with diffusion, Journal of Mathematical Analysis and Applications, vol.152, pp.176-208, 1990. ,
Optimal harvesting for a nonlinear age-dependent population dynamics, Journal of Mathematical Analysis and Applications, vol.226, pp.6-22, 1998. ,
Analysis and control of age-dependent population dynamics, p.11, 2000. ,
Travelling fronts for the KPP equation with spatio-temporal delay, Zeitschrift für angewandte Mathematik und Physik ZAMP, vol.53, pp.103-122, 2002. ,
Optimal control: an introduction to the theory and its applications, Courier Corporation, 2013. ,
Exact controllability of the superlinear heat equation, Applied Mathematics & Optimization, vol.42, pp.73-89, 2000. ,
On the controllability of the LotkaMcKendrick model of population dynamics, Journal of Mathematical Analysis and Applications, vol.253, pp.142-165, 2001. ,
Mosquitoes and their control, 2003. ,
Aggregation and the competitive exclusion principle, Journal of Theoretical Biology, vol.136, pp.57-66, 1989. ,
DOI : 10.1016/s0022-5193(89)80189-4
Spatial structures and periodic travelling waves in an integrodifferential reaction-diffusion population model, SIAM Journal on Applied Mathematics, vol.50, pp.1663-1688, 1990. ,
DOI : 10.1137/0150099
Pontryagin's principle for control problems in age-dependent population dynamics, Journal of Mathematical Biology, vol.23, pp.75-101, 1985. ,
On the semigroups for age-size dependent population dynamics with spatial diffusion, Manuscripta Mathematica, pp.161-181, 1990. ,
Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations, Journal of Differential Equations, vol.184, pp.549-569, 2002. ,
Uniqueness and existence of traveling waves for discrete quasilinear monostable dynamics, Mathematische Annalen, vol.326, pp.123-146, 2003. ,
One parameter semigroups, CWI Monographs, vol.5, pp.1-312, 1987. ,
Combination of malaria vector control interventions in pyrethroid resistance area in Benin: a cluster randomised controlled trial, The Lancet infectious diseases, vol.12, pp.617-626, 2012. ,
URL : https://hal.archives-ouvertes.fr/pasteur-00835684
Abstract evolution equations, periodic problems and applications, Pitman Research Notes in Mathematics, p.279, 1992. ,
Does kdr genotype predict insecticideresistance phenotype in mosquitoes?, Trends Parasitol, vol.25, pp.213-219, 2009. ,
Phase transitions and generalized motion by mean curvature, Communications on Pure and Applied Mathematics, vol.45, pp.1097-1123, 1992. ,
Travelling waves for delayed reaction-diffusion equations with global response, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.462, pp.229-261, 2006. ,
Null controllability of the semilinear heat equation, ESAIM: Control, Optimisation and Calculus of Variations, vol.2, pp.87-103, 1997. ,
Modelling the impact of the long-term use of insecticide-treated bed nets on Anopheles mosquito biting time, Malaria journal, vol.16, p.373, 2017. ,
The approach of solutions of nonlinear diffusion equations to travelling wave solutions, vol.81, pp.1076-1078, 1975. ,
Optimal control of a competitive system with age-structure, Journal of Mathematical Analysis and Applications, vol.291, pp.526-537, 2004. ,
Malaria transmission and vector biology in Manarintsoa, high plateaux of Madagascar, The American journal of tropical medicine and hygiene, pp.107-115, 1990. ,
, Controllability of evolution equations, p.34, 1996.
Age dependent population diffusion with external constraints, Journal of Mathematical Biology, vol.14, pp.77-94, 1982. ,
The importance of mosquito behavioral adaptations to malaria control in Africa, Evolution, pp.1218-1230, 2013. ,
A predator-prey reaction-diffusion system with nonlocal effects, Journal of Mathematical Biology, vol.34, pp.297-333, 1996. ,
Travelling front solutions of a nonlocal Fisher equation, Journal of Mathematical Biology, vol.41, pp.272-284, 2000. ,
Convergence and travelling fronts in functional differential equations with nonlocal terms: a competition model, SIAM Journal on Mathematical Analysis, vol.35, pp.806-822, 2003. ,
On the semigroup for age dependent population Dynamics with spatial diffusion, Journal of Mathematical Analysis and Applications, vol.184, pp.190-199, 1994. ,
A system of equations for age dependent population diffusion, Journal of Theoretical Biology, vol.40, pp.389-392, 1972. ,
Non-linear age-dependent population dynamics, Archive for Rational Mechanics and Analysis, vol.54, pp.281-300, 1974. ,
On the diffusion of biological populations, Mathematical Biosciences, vol.33, pp.35-49, 1977. ,
On the optimal harvesting of age-structured populations: some simple models, Mathematical Biosciences, vol.55, pp.115-136, 1981. ,
On the optimal harvesting of persistent age-structured populations, Journal of Mathematical Biology, vol.13, pp.131-148, 1981. ,
Functional analysis and semi-groups, p.31, 1948. ,
Function analysis and semigroups, p.31, 1996. ,
Consistently high estimates for the proportion of human exposure to malaria vector populations occurring indoors in rural Africa, International Journal of Epidemiology, vol.42, pp.235-247, 2013. ,
Mathematical theory of age-structured population dynamics, pp.1-174, 1995. ,
Spectral properties of population operator and asymptotic behaviour of population semigroup, Acta Mathematica Scientia, vol.22, pp.139-148, 1982. ,
Optimal control theory: an introduction, Courier Corporation, 2012. ,
Linear and quasilinear equations of parabolic type, vol.23, 1988. ,
A nonlinear problem in age dependent population diffusion, SIAM Journal on Mathematical Analysis, vol.16, pp.510-529, 1985. ,
Large time behavior in a nonlinear age-dependent population dynamics problem with spatial diffusion, Journal of Mathematical Biology, vol.26, pp.319-346, 1988. ,
Contrôle exact de l'équation de la chaleur, Communications in Partial Differential Equations, vol.16, pp.335-357, 1995. ,
The calculus of variations and optimal control: an introduction, 2013. ,
, Optimal control, 2012.
Asymptotic speeds of spread and traveling waves for monotone semiflows with applications, Communications on Pure and Applied Mathematics, vol.60, pp.1-40, 2007. ,
Mathematical analysis of an age structured problem modeling phenotypic plasticity in mosquito behaviour ,
Optimal control of an age-structured problem modelling mosquito plasticity ,
Large time behaviour of the solution for an age-structured population model ,
Local exact controllability of an age-structured problem modelling mosquito plasticity ,
Existence, uniqueness and stability of travelling waves in a discrete reaction-diffusion monostable equation with delay, Journal of Differential Equations, vol.217, pp.54-87, 2005. ,
, An Essay on the Principle of Population, 1798.
Frobenius theory of positive operators: Comparison theorems and applications, SIAM Journal on Mathematical Analysis, vol.19, pp.607-628, 1970. ,
Malaria surge feared: the WHO releases action plan to tackle the spread of insecticide-resistant mosquitoes, Nature, pp.293-294, 2012. ,
Bifurcation and asymptotic behavior of solutions of a delaydifferential equation with diffusion, SIAM Journal on Mathematical Analysis, vol.20, pp.533-546, 1989. ,
Changes in Anopheles funestus biting behavior following universal coverage of long-lasting insecticidal nets in Benin, The Journal of infectious diseases, pp.1622-1629, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00742218
One-parameter semigroups of positive operators, Notes Math, 1986. ,
Persistence of wavefronts in delayed nonlocal reaction-diffusion equations, Journal of Differential Equations, vol.235, pp.219-261, 2007. ,
Optimal harvesting for periodic agedependent population dynamics, SIAM Journal on Applied Mathematics, vol.58, pp.1648-1666, 1998. ,
Mosquito behavior and vector control, Annu Rev Entomol, vol.50, pp.53-70, 2005. ,
Semigroups of linear operators and applications to partial differential equations, 2012. ,
Pyrethroid resistance in African anopheline mosquitoes: what are the implications for malaria control?, Trends Parasitol, vol.27, pp.91-98, 2011. ,
Outdoor host seeking behaviour of Anopheles gambiae mosquitoes following initiaion of malaria vector control on Bioko Island, Equatorial Guinea, Malaria Journal, vol.10, p.184, 2011. ,
Stability of steady states and existence of travelling waves in a vector-disease model, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, vol.134, pp.991-1011, 2004. ,
Increased proportions of outdoor feeding among residual malaria vector populations following increased use of insecticidetreated nets in rural Tanzania, Malaria Journal, vol.10, p.80, 2011. ,
On spectral properties of some positive operators, Nat. Sci. Report Ochanomicu Univ, vol.15, pp.53-64, 1964. ,
A problem in age-distribution, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, vol.21, pp.435-438, 1911. ,
Asymptotic behavior and traveling wave solutions for parabolic functional-differential equations, Transactions of the American Mathematical Society, vol.302, pp.587-615, 1987. ,
A structured population model and a related functional differential equation: Global attractors and uniform persistence, Journal of Dynamics and Differential Equations, vol.6, pp.71-99, 1994. ,
Global asymptotic stability of traveling waves in delayed reaction-diffusion equations, SIAM Journal on Mathematical Analysis, vol.31, pp.514-534, 2000. ,
Structured population on two patches: modeling dispersal and delay, Journal of Mathematical Biology, vol.43, pp.37-51, 2001. ,
A reaction-diffusion model for a single species with age structure. I Travelling wavefronts on unbounded domains, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.457, pp.1841-1853, 2001. ,
Biting by Anopheles funestus in broad daylight after use of long-lasting insecticidal nets: a new challenge to malaria elimination, Malaria Journal, vol.13, p.125, 2014. ,
Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction-diffusion models, Journal of Differential Equations, vol.195, pp.430-470, 2003. ,
Malaria morbidity and pyrethroid resistance after the introduction of insecticide-treated bednets and artemisinin-based combination therapies: a longitudinal study, The Lancet Infectious Diseases, vol.11, pp.925-932, 2011. ,
URL : https://hal.archives-ouvertes.fr/pasteur-00618289
Null controllability of linear and semilinear heat equations in thin domains, Asymptotic Analysis, vol.24, pp.295-317, 2000. ,
Malaria morbidity and pyrethroid resistance after the introduction of insecticide-treated bednets and artemisinin-based combination therapies: a longitudinal study, The Lancet Infectious Diseases, vol.11, pp.925-932, 2011. ,
URL : https://hal.archives-ouvertes.fr/pasteur-00618289
Notice sur la loi que la population suit dans son accroissement. correspondance mathématique et physique publiée par a, Quetelet, vol.10, pp.113-121, 1838. ,
Travelling wave fronts in reaction-diffusion systems with spatio-temporal delays, Journal of Differential Equations, vol.222, pp.185-232, 2006. ,
Traveling fronts in monostable equations with nonlocal delayed effects, Journal of Dynamics and Differential Equations, vol.20, pp.573-607, 2008. ,
, Theory of nonlinear age-dependent population dynamics, 1985.
Two duplicated P450 genes are associated with pyrethroid resistance in Anopheles funestus, a major malaria vector, Genome research, vol.19, pp.452-459, 2009. ,
Traveling wave fronts of reaction-diffusion systems with delay, Journal of Dynamics and Differential Equations, vol.13, pp.651-687, 2001. ,
, World Health Organization, World malaria report, World Health Organization, 2008.
, World Health Organization, World malaria report 2012, World Health Organization, 2012.
Insecticide resistance status in Anopheles gambiae in southern Benin, Malaria Journal, vol.9, p.83, 2010. ,
Introduction to reaction-diffusion equations, 1994. ,
The Hopf bifurcation and its stability for semilinear diffusion equations with time delay arising in ecology, Hiroshima Mathematical Journal, vol.12, pp.321-348, 1982. ,
Early biting rhythm in the afro-tropical vector of malaria, Anopheles arabiensis, and challenges for its control in Ethiopia, Medical and veterinary entomology, vol.26, pp.103-105, 2012. ,
Asymptotic expression in L[0, r m ] for population evolution and controllability of population system, J. System Sci. Math. Sci, vol.7, pp.97-104, 1987. ,
Optimal control of harvesting for age-dependent predator-prey system, Mathematical and Computer Modelling, vol.42, pp.573-584, 2005. ,
DOI : 10.1016/j.mcm.2004.07.019
URL : https://doi.org/10.1016/j.mcm.2004.07.019
The asymptotic speed of spread and traveling waves for a vector disease model, Journal of Dynamics and Differential Equations, vol.18, pp.1001-1019, 2006. ,