Nonlocal Diffusion Elliptic System Modelling The Behaviour Of a Bacteria And a Living Nutrient
Analysis of PDEs
2024-02-06 v1
Abstract
In this paper, we discuss the existence and uniqueness of coexistence states for a class of non-local elliptic system. This problem models the behaviour of a bacteria and a living nutrient, whose diffusion depends on the population of the bacteria in a non-local and nonlinear way. Mainly, we employ bifurcation methods and the Implicit Function Theorem to obtain the existence and uniqueness of positive solution.
Keywords
Cite
@article{arxiv.2402.02912,
title = {Nonlocal Diffusion Elliptic System Modelling The Behaviour Of a Bacteria And a Living Nutrient},
author = {M. A. V. Costa and Y. B. C. Carranza and C. Morales-Rodrigo and A. Suarez},
journal= {arXiv preprint arXiv:2402.02912},
year = {2024}
}
Comments
15 pages and 2 figures