Qualitative Analysis of a Spatiotemporal Prey-Predator Model with Additive Allee Effect and Fear Effect

Changcheng Ke, Ming Yi, Yanfeng Guo and Jawad Ahmad

Complexity, 2022, vol. 2022, 1-19

Abstract: A diffusive predator-prey system with both the additive Allee effect and the fear effect in the prey subject to Neumann boundary conditions is considered in this paper. Firstly, non-negative and non-trivial solution a priori estimations are shown. Furthermore, for specific parameter ranges, the absence of non-constant positive solutions is demonstrated. Secondly, we use the linearized theory to investigate the stability of non-negative constant solutions. The spatially homogeneous and non-homogeneous periodic solutions, as well as non-constant steady state solutions, are next investigated by using Allee effect parameters as the bifurcation parameter. Finally, numerical simulation is used to illustrate some theoretical results.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:5715922

DOI: 10.1155/2022/5715922

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