Steady state bifurcation of a population model with chemotaxis

Mengxin Chen and Qianqian Zheng

Physica A: Statistical Mechanics and its Applications, 2023, vol. 609, issue C

Abstract: In this paper, we are concerned with the pattern dynamics of a population model with chemotaxis. The existence of the solution and the global stability of the coexistence equilibrium are performed. In the sequel, we find that chemotaxis can induce the steady state bifurcation of the spatiotemporal model, and there are multiple thresholds of the steady state bifurcation with different assumptions. We then give the amplitude equation to determine the direction of the steady state bifurcation via the multiple time scales. It is found that the population model admits the supercritical or subcritical steady state bifurcation. Numerical results check the validity of the theoretical analysis.

Keywords: Chemotaxis; Amplitude equation; Steady state bifurcation; Global stability (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:609:y:2023:i:c:s0378437122009396

DOI: 10.1016/j.physa.2022.128381

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