Selection–mutation dynamics with asymmetrical reproduction kernels

• Published in: Nonlinear analysis Vol. 222; p. 112947
• Main Authors: Perthame, Benoît, Strugarek, Martin, Taing, Cécile
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.09.2022; Elsevier
• Subjects: Adaptive dynamics; Analysis of PDEs; Asymptotic analysis; Integro-differential equations; Mathematics; Population biology; 35F21; Adaptive dynamics; Population biology; Integro-differential equations; 45K05; 35B40; Asymptotic analysis; 35Q92; Mathematical biology

We study a family of selection–mutation models of a sexual population structured by a phenotypical trait. The main feature of these models is the asymmetric trait heredity or fecundity between the parents: we assume that each individual inherits mostly its trait from the female or that the trait act...