We analyze a system of nonlocal reaction-diffusion equations describing the dynamics of adaptation of K phenotypically structured populations, under the effects of mutation, selection and migration in a K-patches environment, each patch being associated with a di˙erent phenotypic optimum in Rn. We give a characterization of the large-time behavior of the solution (persistence or extinction) based on the sign of a principal eigenvalue. We show that migration between environments decreases the chances of persistence. We mainly focus on the comparison between the case K = 2 (2 hosts) vs. the case K = 3 (3 hosts). We show that the ˝tness gain obtained when a third host is added to the system can be positive or negative, depending on the position of the third host in the phenotypic space. Thus, the presence of a third host can cause a springboard effect, a common pattern in zoonotic diseases, or on the contrary impede adaptation.
De Nick Barton
De Quentin Griette
De Ada Altieri
De Mete Demircigil
De Elisa Thébault
De Jean-François Arnoldi
De Michael Scott
De Florence Bansept
De Apolline Louvet
De Vincent Bansaye
De Sébastien Lion
De Philipp Messer
De Raphael Forien
De Nicolas Vauchelet
De David MacLeod
De Cheryl Mentuda
De Léo Girardin
De Coralie Fritsch
De Adrian Lam
De Diana Fusco
De Léonard Dekens
De Oana Carja
De Sepideh Mirrahimi
De Olivier Cotto
De Benoît Henry
De Himani Sachdeva
De Florian Patout
De Ignacio Madrid Canales
De Denis Roze
De Julien Berestycki
De Sylvie Ferrari
De Vasilis Dakos
