STABILITY AND BIFURCATION IN A PREDATOR-PREY MODEL WITH PREY REFUGE

被引：6

作者：

Chen, Wenchang ^{[1
]}

Yu, Hengguo ^{[1
]}

Dai, Chuanjun ^{[2
]}

Guo, Qing ^{[2
,3
]}

Liu, He ^{[2
,3
]}

Zhao, Min ^{[2
,4
]}

机构：

[1] Wenzhou Univ, Sch Math & Phys, Wenzhou 325035, Zhejiang, Peoples R China

[2] Wenzhou Univ, Sch Life & Environm Sci, Wenzhou 325035, Zhejiang, Peoples R China

[3] Univ Northern British Columbia, Environm Engn Program, Prince George, BC V2N 4Z9, Canada

[4] Wenzhou Univ, Key Lab Subtrop Oceans & Lakes Environm & Biol Res, Wenzhou 325035, Zhejiang, Peoples R China

来源：

JOURNAL OF BIOLOGICAL SYSTEMS | 2023年 / 31卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Predator-Prey Model; Prey Refuge; Equilibria; Stability; Bifurcation; GLOBAL STABILITY; ADDITIONAL FOOD; QUALITATIVE-ANALYSIS; ALTERNATIVE FOOD; STAGE-STRUCTURE; SYSTEM; DYNAMICS; COMPLEXITY; PROVISION; FEAR;

D O I：

10.1142/S0218339023500146

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, a predator-prey model with prey refuge was developed to investigate how prey refuge affect the dynamics of predator-prey interaction. We studied the existence and stability of equilibria, and then derived the sufficient conditions for the bifurcation such as saddle-node, transcritical, Hopf and Bogdanov-Takens bifurcation. In addition, a series of numerical simulations were carried out to illustrate the theoretical analysis, and the numerical results are consistent with the analytical results. Our results demonstrate that prey refuge has a great impact on the predator-prey dynamics.

引用

页码：417 / 435

页数：19

共 50 条

[21] 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
[22] Bifurcation and global stability of a discrete prey-predator model with saturated prey refuge
Mondal, Chirodeep
Kesh, Dipak
Mukherjee, Debasis
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (17) : 18354 - 18374
[23] PREDATOR-PREY INTERACTIONS WITH HARVESTING OF PREDATOR WITH PREY IN REFUGE
Wuhaib, S. A.
Abu Hasan, Y.
COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE, 2013,
[24] BIFURCATION AND STABILITY ANALYSIS OF A TEMPERATURE-DEPENDENT MITE PREDATOR-PREY INTERACTION-MODEL INCORPORATING A PREY REFUGE
COLLINGS, JB
BULLETIN OF MATHEMATICAL BIOLOGY, 1995, 57 (01) : 63 - 76
[25] Bifurcation analysis of a Holling type II predator-prey model with refuge
Mukherjee, Debasis
Maji, Chan
CHINESE JOURNAL OF PHYSICS, 2020, 65 : 153 - 162
[26] Hopf bifurcation and stability in a Beddington-DeAngelis predator-prey model with stage structure for predator and time delay incorporating prey refuge
Xiao, Zaowang
Li, Zhong
Zhu, Zhenliang
Chen, Fengde
OPEN MATHEMATICS, 2019, 17 : 141 - 159
[27] SPATIOTEMPORAL DYNAMICS OF A PREDATOR-PREY MODEL INCORPORATING A PREY REFUGE
Sambath, M.
Balachandran, K.
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2013, 3 (01): : 71 - 80
[28] Hopf bifurcation and global stability of a delayed predator-prey model with prey harvesting
Li, Yan
Wang, Mingxin
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 69 (05) : 398 - 410
[29] Comments to the effect of prey refuge in a simple predator-prey model
Wang, Shufan
Ma, Zhihui
ECOLOGICAL MODELLING, 2014, 287 : 58 - 59
[30] Hopf bifurcation and stability in predator-prey model with a stage-structure for prey
Sun, Xiao-Ke
Huo, Hai-Feng
Ma, Cao-Chuan
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (20) : 10313 - 10324

← 1 2 3 4 5 →