Global Analysis of a Directed Dynamics Competition Model
Md. Kamrujjaman *
Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh.
Kamrun Nahar Keya
Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh.
*Author to whom correspondence should be addressed.
Abstract
In this study, we consider a directed-diffusion system describing the interactions between two organisms in heterogeneous environment. We focus on the effects of two distribution functions while two species are distributed with their corresponding resource function. We determine the global asymptotic stability of semi-trivial as well as the coexistence steady states due to interactions among three smooth functions.
Keywords: Directed dynamics, competition, global stability, coexistence.