title: Virulence evolution at the front line of spreading epidemics.
abstract: Understanding and predicting the spatial spread of emerging pathogens is a major challenge for the public health management of infectious diseases. Theoretical epidemiology shows that the speed of an epidemic is governed by the life-history characteristics of the pathogen and its ability to disperse. Rapid evolution of these traits during the invasion may thus affect the speed of epidemics. Here we study the influence of virulence evolution on the spatial spread of an epidemic. At the edge of the invasion front, we show that more virulent and transmissible genotypes are expected to win the competition with other pathogens. Behind the front line, however, more prudent exploitation strategies outcompete virulent pathogens. Crucially, even when the presence of the virulent mutant is limited to the edge of the front, the invasion speed can be dramatically altered by pathogen evolution. We support our analysis with individual-based simulations and we discuss the additional effects of demographic stochasticity taking place at the front line on virulence evolution. We confirm that an increase of virulence can occur at the front, but only if the carrying capacity of the invading pathogen is large enough. These results are discussed in the light of recent empirical studies examining virulence evolution at the edge of spreading epidemics.
authors.affiliation: Département de Mathématiques, Faculté des Sciences, Université de Montpellier,  Place Eugène Bataillon, Montpellier, France. quentin.griette@univ-montp2.fr.|CEFE - UMR 5175, campus CNRS, 1919 route de Mende, 34293 Montpellier, France. quentin.griette@univ-montp2.fr.
authors.forename: Quentin
authors.initials: Q
authors.lastname: Griette
authors.affiliation: CEFE - UMR 5175, campus CNRS, 1919 route de Mende, 34293 Montpellier, France.|CMAP - UMR 7641, École Polytechnique, CNRS, Route de Saclay, 91128 Palaiseau Cedex, France.
authors.forename: Gaël
authors.initials: G
authors.lastname: Raoul
authors.affiliation: CEFE - UMR 5175, campus CNRS, 1919 route de Mende, 34293 Montpellier, France.
authors.forename: Sylvain
authors.initials: S
authors.lastname: Gandon
mesh_terms: D001419:Bacteria / Q000235:genetics / Q000472:pathogenicity; D005075:Biological Evolution; D021821:Communicable Diseases, Emerging / Q000453:epidemiology / Q000382:microbiology / Q000821:virology; D003198:Computer Simulation; D058872:Epidemics; D005838:Genotype; D006801:Humans; D008962:Models, Theoretical; D017720:Molecular Epidemiology / Q000379:methods*; D062206:Spatial Analysis; D013269:Stochastic Processes; D014774:Virulence / Q000235:genetics*; D014780:Viruses / Q000235:genetics / Q000472:pathogenicity
keywords: Epidemiology; evolution; space; stochasticity; virulence