Global Bifurcation Structure of a Predator-Prey System with a Spatial Degeneracy and B-D Functional Response

Xiaozhou Feng, Changtong Li, Hao Sun, Yuzhen Wang and Abdel-Haleem Abdel-Aty

Complexity, 2021, vol. 2021, 1-10

Abstract: In this paper, we investigate a predator-prey system with Beddington–DeAngelis (B-D) functional response in a spatially degenerate heterogeneous environment. First, for the case of the weak growth rate on the prey (λ1Ω λ1Ω0), a priori estimates on any positive steady-state solutions are obtained by applying reduction to absurdity and the set of positive steady-state solutions forms an unbounded global bifurcation curve by the global bifurcation theory. In the end, discussions on the difference of the solution properties between the traditional predator-prey system and the predator-prey system with a spatial degeneracy and B-D functional response are addressed.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:9970255

DOI: 10.1155/2021/9970255

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