Pulsating fronts for Fisher-KPP systems with mutations as models in evolutionary epidemiology

摘要

We consider a periodic reaction diffusion system which, because of competition between u and v, does not enjoy the comparison principle. It also takes into account mutations, allowing u to switch to v and vice versa. Such a system serves as a model in evolutionary epidemiology where two types of pathogens compete in a heterogeneous environment while mutations can occur, thus allowing coexistence.