The stability of bifurcating solutions for a prey-predator model with population flux by attractive transition

Qian Xu; Chunfeng Xing; Qian Xu; Chunfeng Xing

doi:10.3934/math.2021407

AIMS Mathematics

2021, Volume 6, Issue 7: 6948-6960. doi: 10.3934/math.2021407

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Research article

The stability of bifurcating solutions for a prey-predator model with population flux by attractive transition

Qian Xu ,
Chunfeng Xing ^,

Institute of Mathematics and Physics, Beijing Union University, Beijing 100101, China

Received: 14 February 2021 Accepted: 13 April 2021 Published: 25 April 2021
MSC : 35B32, 35B35

This paper investigates the stability of bifurcating solutions for a prey-predator model with population flux by attractive transition. Applying spectral analysis and the principle of exchange of stability, we obtain that the bifurcating solutions are stable/unstable under some certain conditions.
- spectral analysis,
- stability
Citation: Qian Xu, Chunfeng Xing. The stability of bifurcating solutions for a prey-predator model with population flux by attractive transition[J]. AIMS Mathematics, 2021, 6(7): 6948-6960. doi: 10.3934/math.2021407

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Abstract

This paper investigates the stability of bifurcating solutions for a prey-predator model with population flux by attractive transition. Applying spectral analysis and the principle of exchange of stability, we obtain that the bifurcating solutions are stable/unstable under some certain conditions.

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