Competitive Reaction-diffusion Systems: Travelling Waves and Numerical Solutions
Md. Kamrujjaman, Asif Ahmed, Shohel Ahmed
Advances in Research · pp. 1–12 · Published 20 Aug 2019
10.9734/air/2019/v19i630140Abstract
In this paper, we consider a competitive reaction-diffusion model to describe the existence of travelling wave solutions of two competing species. Moreover, the non-linear system is also studied by introducing different competitive-cooperative coefficients; constant and spatially distributed which leads to the persistence and extinction of organisms in a heterogeneous environment of population biology. If the diffusion coefficients and other parameters are positive constant, it is seen that one species is in extinction by the other and coexistence is also possible under certain conditions on carrying capacity. The results are numerically investigated by using the Finite difference method (FDM).
Cited by 3
Md Mashih Ibn Yasin Adan, Md. Kamrujjaman, M. Molla · Mathematical biosciences and engineering : MBE · 2023
Md. Mashih Ibn Yasin Adan, Md. Kamrujjaman, M. Molla · arXiv.org · 2022
Md. Kamrujjaman∗a, Kamrun Nahar Keya, M. Islam · GANIT Journal of Bangladesh Mathematical Society · 2021
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