Qualitative analysis for a biological depletion model

Yao Shi, Jianhua Wu and Wang, Yan’e

Applied Mathematics and Computation, 2021, vol. 401, issue C

Abstract: In this paper, we deal with a depletion model which is constructed by an activator and a substrate in a bounded domain. A better understanding of the asymptotic stability of constant solutions is obtained for such a general depletion model. The difficulty lies in how to clarify the number and the region of constant solutions. Next, we analyze the steady-state bifurcation from constant solutions. Finally, some numerical simulations are done to complement analytical results, and steady spike solutions are observed for proper parameters.

Keywords: Depletion model; Asymptotic stability; Bifurcation; Numerical simulation (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:401:y:2021:i:c:s0096300321001508

DOI: 10.1016/j.amc.2021.126102

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