Models of plant resistance deployment
Owing to their evolutionary potential, plant pathogens are able to rapidly adapt to genetically
controlled plant resistance, often resulting in resistance breakdown and major epidemics in …
controlled plant resistance, often resulting in resistance breakdown and major epidemics in …
Human-vector malaria transmission model structured by age, time since infection and waning immunity
Malaria is one of the most common mosquito-borne diseases widespread in tropical and
subtropical regions, causing thousands of deaths every year in the world. Few models …
subtropical regions, causing thousands of deaths every year in the world. Few models …
An epi‐evolutionary model for predicting the adaptation of spore‐producing pathogens to quantitative resistance in heterogeneous environments
We have modeled the evolutionary epidemiology of spore‐producing plant pathogens in
heterogeneous environments sown with several cultivars carrying quantitative resistances …
heterogeneous environments sown with several cultivars carrying quantitative resistances …
Evolutionary branching via replicator–mutator equations
M Alfaro, M Veruete - Journal of Dynamics and Differential Equations, 2019 - Springer
We consider a class of non-local reaction–diffusion problems, referred to as replicator–
mutator equations in evolutionary genetics. For a confining fitness function, we prove well …
mutator equations in evolutionary genetics. For a confining fitness function, we prove well …
Asymptotic analysis of selection-mutation models in the presence of multiple fitness peaks
We study the long-time behaviour of phenotype-structured models describing the
evolutionary dynamics of asexual populations whose phenotypic fitness landscape is …
evolutionary dynamics of asexual populations whose phenotypic fitness landscape is …
[PDF][PDF] Asymptotic speed of spread for a nonlocal evolutionary-epidemic system
We investigate spreading properties of solutions for a spatially distributed system of
equations modelling the evolutionary epidemiology of plantpathogen interactions. In this …
equations modelling the evolutionary epidemiology of plantpathogen interactions. In this …
Dynamics for a two-phase free boundary system in an epidemiological model with couple nonlocal dispersals
The present paper is devoted to the investigation of the long time dynamics for a double free
boundary system with nonlocal diffusions, which models the infectious diseases transmitted …
boundary system with nonlocal diffusions, which models the infectious diseases transmitted …
Asymptotic and transient behaviour for a nonlocal problem arising in population genetics
This work is devoted to the study of an integro-differential system of equations modelling the
genetic adaptation of a pathogen by taking into account both mutation and selection …
genetic adaptation of a pathogen by taking into account both mutation and selection …
Dynamics of concentration in a population model structured by age and a phenotypical trait
S Nordmann, B Perthame, C Taing - Acta Applicandae Mathematicae, 2018 - Springer
We study a mathematical model describing the growth process of a population structured by
age and a phenotypical trait, subject to aging, competition between individuals and rare …
age and a phenotypical trait, subject to aging, competition between individuals and rare …
Fast, slow convergence, and concentration in the house of cards replicator-mutator model
FAST, SLOW CONVERGENCE, AND CONCENTRATION IN THE HOUSE OF CARDS
REPLICATOR-MUTATOR MODEL 1. Introduction We are interested in th Page 1 Differential …
REPLICATOR-MUTATOR MODEL 1. Introduction We are interested in th Page 1 Differential …