Nonlocal singular elliptic system arising from the amoeba–bacteria population dynamics
Manuel Delgado, I. B. M. Duarte, António Suárez · Communications in Contemporary Mathematics · 2018
In this paper, we prove the existence of coexistence states for a nonlocal singular elliptic system that arises from the interaction between amoeba and bacteria populations. Our study is based on fixed point arguments using a version of the Bolzano’s theorem, for which we will first analyze a local system by bifurcation theory. Moreover, we study the behavior of the coexistence region obtained and we interpret our results according to the growth rate of both species.