Qualitative analysis on the diffusive Holling-Tanner predator-prey model

Zhao Xu and Zhou Wenshu: Qualitative analysis on the diffusive Holling-Tanner predator-prey model. (2023)

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We consider the diffusive Holling–Tanner predator–prey model subject to the homogeneous Neumann boundary condition. We first apply Lyapunov function method to prove some global stability results of the unique positive constant steadystate. And then, we derive a non-existence result of positive non-constant steady-states by a novel approach that can also be applied to the classical Sel’kov model to obtain the non-existence of positive non-constant steady-states if 0 < p ≤ 1.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2023
Number: 41
ISSN: 1417-3875
Number of Pages: 10
Language: English
Place of Publication: Szeged
DOI: 10.14232/ejqtde.2023.1.41
Uncontrolled Keywords: Differenciálegyenlet
Additional Information: Bibliogr.: p. 9-10. ; összefoglalás angol nyelven
Date Deposited: 2023. Nov. 16. 15:39
Last Modified: 2023. Nov. 16. 15:39
URI: http://acta.bibl.u-szeged.hu/id/eprint/82291

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