The asymptotic speed of propagation of a simple epidemic, Res. Notes Math, issue.14, pp.1-23, 1977. ,
Multidimensional nonlinear diffusion arising in population genetics, Adv. in Math, vol.30, issue.1, pp.33-76, 1978. ,
Deterministic epidemic waves, Math. Proc. Cambridge Philos. Soc, vol.80, issue.2, pp.315-330, 1976. ,
On the definition and the properties of the principal eigenvalue of some nonlocal operators, J. Funct. Anal, vol.271, issue.10, pp.2701-2751, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01245634
Generalized travelling waves for reaction-diffusion equations, Perspectives in nonlinear partial differential equations, vol.446, pp.101-123, 2007. ,
wave propagation in periodic excitable media, Comm. Pure Appl. Math, vol.55, issue.8, pp.949-1032, 2002. ,
The principal eigenvalue and maximum principle for second-order elliptic operators in general domains, Comm. Pure Appl. Math, vol.47, issue.1, pp.47-92, 1994. ,
On the principal eigenvalue of elliptic operators in R N and applications, J. Eur. Math. Soc. (JEMS), vol.8, issue.2, pp.195-215, 2006. ,
On the formulation of epidemic models (an appraisal of Kermack and McKendrick), J. Biol. Dyn, vol.6, pp.103-117, 2012. ,
Functional analysis, Sobolev spaces and partial differential equations, 2011. ,
The influence of fractional diffusion in FisherKPP equations, Comm. Math. Phys, vol.320, issue.3, pp.679-722, 2013. ,
A personal account of the development of the field theory of largescale brain activity from 1945 onward, Neural fields, pp.47-96, 2014. ,
Thresholds and travelling waves for the geographical spread of infection, J. Math. Biol, vol.6, issue.2, pp.109-130, 1978. ,
Run for your life. A note on the asymptotic speed of propagation of an epidemic, J. Differential Equations, vol.33, issue.1, pp.58-73, 1979. ,
Blocking and invasion for reaction-diffusion equations in periodic media, Calc. Var. Partial Differential Equations, vol.57, issue.5, p.39, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01637967
Convergence to a pulsating travelling wave for an epidemic reaction-diffusion system with non-diffusive susceptible population, J. Math. Biol, vol.69, issue.3, pp.533-552, 2014. ,
Monotone traveling waves for delayed neural field equations, Math. Models Methods Appl. Sci, vol.26, issue.10, pp.1919-1954, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01682303
The wave of advantage of advantageous genes, Ann. Eugenics, vol.7, pp.355-369, 1937. ,
Traveling waves for a simple diffusive epidemic model, Math. Models Methods Appl. Sci, vol.5, issue.7, pp.935-966, 1995. ,
On a pandemic threshold theorem of the early Kermack-McKendrick model with individual heterogeneity, Math. Popul. Stud, vol.21, issue.2, pp.95-111, 2014. ,
Perturbation theory for linear operators, Grundlehren der Mathematischen Wissenschaften, vol.132, 1976. ,
Discussion of "measles periodicity and community size" by ms bartlett, J. Roy. Stat. Soc. A, vol.120, pp.64-76, 1957. ,
Mathematical models of the spread of infection. Mathematics and computer science in biology and medicine, pp.213-225, 1965. ,
Contributions to the mathematical theory of epidemics. i, Bulletin of mathematical biology, vol.53, issue.1-2, pp.33-55, 1991. ,
Contributions to the mathematical theory of epidemics. ii. the problem of endemicity, Proc. R. Soc. Lond. A, vol.138, pp.55-83, 1932. ,
Contributions to the mathematical theory of epidemics. iii. further studies of the problem of endemicity, Proc. R. Soc. Lond. A, vol.141, pp.94-122, 1933. ,
´ Etude de l'´ equation de la diffusion avec croissance de la quantité dematì ere et son applicationàapplication`applicationà un probì eme biologique, Bull. Univ. Etat. Moscow Ser. Internat. Math. Mec. Sect. A, vol.1, pp.1-26, 1937. ,
Linear operators leaving invariant a cone in a Banach space, Amer. Math. Soc. Translation, issue.26, p.128, 1950. ,
Possible velocities for a simple epidemic, Advances in Appl. Probability, vol.4, pp.233-257, 1972. ,
A model for the spatial spread of an epidemic, J. Math. Biol, vol.4, issue.4, pp.337-351, 1977. ,
Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations, J. Reine Angew. Math, vol.306, pp.94-121, 1979. ,
Density-dependent regulation of spatially distributed populations and their asymptotic speed of spread, J. Math. Biol, vol.8, issue.2, pp.173-187, 1979. ,
Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction-diffusion models, J. Differential Equations, vol.195, issue.2, pp.430-470, 2003. ,