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Research Article Open access CC BY 4.0

Global Analysis of a Directed Dynamics Competition Model

Md. Kamrujjaman, Kamrun Nahar Keya

Journal of Advances in Mathematics and Computer Science · pp. 1–14 · Published 8 May 2018

10.9734/JAMCS/2018/41247

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.

Directed dynamics competition global stability coexistence.

Cited by 3

Spatio-temporal solutions of a diffusive directed dynamics model with harvesting

Md. Kamrujjaman, Kamrun Nahar Keya, Ummugul Bulut · Journal of Applied Mathematics and Computing · 2022

The influence of density in population dynamics with strong and weak Allee effect

Kamrun Nahar Keya, Md. Kamrujjaman, Md. Shafiqul Islam · Journal of the Egyptian Mathematical Society · 2021

Interplay of harvesting and the growth rate for spatially diversified populations and the testing of a decoupled scheme

Md. Mashih Ibn Yasin Adan, Md. Kamrujjaman, Md. Mamun Molla · Mathematical Biosciences and Engineering · 2023

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