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

被引：20

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

[21] STABILITY ANALYSIS OF HARVESTING IN A PREDATOR-PREY MODEL
AZAR, C
HOLMBERG, J
LINDGREN, K
JOURNAL OF THEORETICAL BIOLOGY, 1995, 174 (01) : 13 - 19
[22] Stability and Bifurcation Analysis in a Predator-Prey System with Constant Harvesting and Prey Group Defense
Luo, Jianfeng
Zhao, Yi
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2017, 27 (11):
[23] Stability analysis and bifurcation of a predator-prey model with time delay in prey and diseases in predator
Department of Mathematics and Physics, Shijiazhuang Tiedao University, No. 17, East Bei’erhuan Road, Qiaodong District, Shijiazhuang
050043, China
Int. J. Innov. Comput. Inf. Control, 1 (43-56):
[24] STABILITY ANALYSIS AND BIFURCATION OF A PREDATOR-PREY MODEL WITH TIME DELAY IN PREY AND DISEASES IN PREDATOR
Wang, Qiubao
INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2015, 11 (01): : 43 - 56
[25] Stability and bifurcation analysis of a discrete predator-prey system of Ricker type with refuge effect
Naik, Parvaiz Ahmad
Amer, Muhammad
Ahmed, Rizwan
Qureshi, Sania
Huang, Zhengxin
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2024, 21 (03) : 4554 - 4586
[26] Local stability analysis on Lotka-Volterra predator-prey models with prey refuge and harvesting
Chow, Christopher
Hoti, Marvin
Li, Chongming
Lan, Kunquan
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (17) : 7711 - 7732
[27] Neimark-Sacker Bifurcation of a Discrete-Time Predator-Prey Model with Prey Refuge Effect
Hong, Binhao
Zhang, Chunrui
MATHEMATICS, 2023, 11 (06)
[28] Stability and Hopf bifurcation of a delayed-diffusive predator-prey model with hyperbolic mortality and nonlinear prey harvesting
Zhang, Fengrong
Li, Yan
NONLINEAR DYNAMICS, 2017, 88 (02) : 1397 - 1412
[29] Qualitative analysis of a predator-prey model with constant-rate prey harvesting incorporating a constant prey refuge
Ji, Lili
Wu, Chengqiang
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) : 2285 - 2295
[30] Deterministic and stochastic study of an eco-epidemic predator-prey model with nonlinear prey refuge and predator harvesting
Islam, Md Sarijul
Nazmul, S. K.
Sarwardi, Sahabuddin
EUROPEAN PHYSICAL JOURNAL PLUS, 2023, 138 (09):

← 1 2 3 4 5 →