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  4. Vol 7, Issue 6, 2023

Global Dynamics of Predator-Prey Model with Special Holling IV Functional Response

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DOI: 10.23977/acss.2023.070603 | Downloads: 16 | Views: 966

Author(s)

Yulin Liu 1, Ziqian Liu 2, Feilong Qin 2, Tao Luo 2, Yumei Zuo 2

Affiliation(s)

1 School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai, 200240, China
2 School of Big Data and Artificial Intelligence, Chengdu Technological University, Chengdu, 611730, China

Corresponding Author

Ziqian Liu

ABSTRACT

In this paper, we will focus on the number, type, local stability, and global stability of the positive equilibrium of the predator-prey model with special Holling IV functional response. When the positive equilibrium is a weak focus, it can be of order one and stable, of order one and unstable, of higher order. Moreover, if the equilibrium is unique and unstable, there exists a limit cycle surrounding it.

KEYWORDS

Predator-prey model, Holling IV functional response, slow-fast system, global stability, limit cycle

CITE THIS PAPER

Yulin Liu, Ziqian Liu, Feilong Qin, Tao Luo, Yumei Zuo, Global Dynamics of Predator-Prey Model with Special Holling IV Functional Response. Advances in Computer, Signals and Systems (2023) Vol. 7: 16-27. DOI: http://dx.doi.org/10.23977/acss.2023.070603.

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