Stability and bifurcation analysis of discrete predator-prey model with nonlinear prey harvesting and prey refuge

被引：16

作者：

Shu, Qing ^{[1
]}

Xie, Jingli ^{[1
]}

机构：

[1] Jishou Univ, Coll Math & Stat, Jishou 416000, Hunan, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 07期

关键词：

discrete predator-prey model; flip bifurcation; Neimark-Sacker bifurcation; optimal harvesting; DYNAMIC-BEHAVIORS; FOOD;

D O I：

10.1002/mma.8005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a discrete Leslie-Gower model with nonlinear prey harvesting and prey refuge is proposed. We prove the existence and stability of an interior equilibrium of the model. In addition, the existence of flip bifurcation and Neimark-Sacker bifurcation at the interior equilibrium is studied by applying central manifold theory and bifurcation theory. Using Pontryagin's maximum principle, we propose an optimal harvesting problem.

引用

页码：3589 / 3604

页数：16

共 50 条

[1] STABILITY AND BIFURCATION IN A PREDATOR-PREY MODEL WITH PREY REFUGE
Chen, Wenchang
Yu, Hengguo
Dai, Chuanjun
Guo, Qing
Liu, He
Zhao, Min
[J]. JOURNAL OF BIOLOGICAL SYSTEMS, 2023, 31 (02) : 417 - 435
[2] Bifurcation and Stability Analysis of a Discrete Predator-Prey Model with Alternative Prey
Lei, Ceyu
Han, Xiaoling
Wang, Weiming
[J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (05)
[3] Bifurcation and optimal harvesting analysis of a discrete-time predator-prey model with fear and prey refuge effects
Liu, Jie
Wang, Qinglong
Cao, Xuyang
Yu, Ting
[J]. AIMS MATHEMATICS, 2024, 9 (10): : 26283 - 26306
[4] Stability analysis: The effect of prey refuge in predator-prey model
Ma, Zhihui
Wang, Shufan
[J]. ECOLOGICAL MODELLING, 2012, 247 : 95 - 97
[5] PREDATOR-PREY INTERACTIONS WITH HARVESTING OF PREDATOR WITH PREY IN REFUGE
Wuhaib, S. A.
Abu Hasan, Y.
[J]. COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE, 2013,
[6] Complicate bifurcation behaviors of a discrete predator-prey model with group defense and nonlinear harvesting in prey
Yao, Wenbo
Li, Xianyi
[J]. APPLICABLE ANALYSIS, 2022, : 2567 - 2582
[7] Complicate dynamical analysis of a discrete predator-prey model with a prey refuge
Khan, A. Q.
Alsulami, Ibraheem M.
[J]. AIMS MATHEMATICS, 2023, 8 (07): : 15035 - 15057
[8] HOPF BIFURCATION ANALYSIS FOR A DELAYED PREDATOR-PREY SYSTEM WITH A PREY REFUGE AND SELECTIVE HARVESTING
Peng, Miao
Zhang, Zhengdi
Wang, Xuedi
Liu, Xiuyu
[J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (03): : 982 - 997
[9] Prey dominance in discrete predator-prey systems with a prey refuge
Yakubu, AA
[J]. MATHEMATICAL BIOSCIENCES, 1997, 144 (02) : 155 - 178
[10] HOPF BIFURCATION AND CONTROL FOR THE DELAYED PREDATOR-PREY MODEL WITH NONLINEAR PREY HARVESTING
Zhang, Guodong
Guo, Huangyu
Han, Jing
[J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (05): : 2954 - 2976

← 1 2 3 4 5 →