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arXiv · 2402.02912

Nonlocal Diffusion Elliptic System Modelling The Behaviour Of a Bacteria And a Living Nutrient

M. A. V. Costa·Y. B. C. Carranza·C. Morales-Rodrigo·A. Suarez
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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.

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M. A. V. Costa, Y. B. C. Carranza, C. Morales-Rodrigo, A. Suarez. 2024-02-05. Nonlocal Diffusion Elliptic System Modelling The Behaviour Of a Bacteria And a Living Nutrient. https://arxiv.org/abs/2402.02912

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