OPTIMAL HARVESTING AND STABILITY ANALYSIS IN A LESLIE-GOWER DELAYED PREDATOR-PREY MODEL

被引：0

作者：

Ndzana, M. Onana ^{[1
,2
,3
,4
,5
]}

Tewa, J. J. ^{[2
,3
,4
,5
]}

Bah, A. ^{[6
]}

Mewoli, B. ^{[7
]}

机构：

[1] Univ Douala, Fac Sci, Dept Math & Comp Sci, Lab Math, POB 24157, Douala, Cameroon

[2] IRD, UMI 209, Bondy, France

[3] UPMC, UMMISCO, Bondy, France

[4] Team GRIMCAPE, Yaounde, Cameroon

[5] Univ Yaounde I, African Ctr Excellence Informat & Commun Technol, Yaounde, Cameroon

[6] UCAD, Ecole Super Polytech, Dakar, Senegal

[7] Univ Yaounde I, Fac Sci, Dept Math, Yaounde, Cameroon

来源：

COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2019年

关键词：

harvesting; Hopf bifurcation; retarded optimal control; stability analysis; BIFURCATION-ANALYSIS; GLOBAL STABILITY; DYNAMICS; SYSTEM; SUBJECT; STATE;

D O I：

10.28919/cmbn/4075

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A delayed Leslie-Gower predator-prey model with continuous threshold prey harvesting is studied. Existence and local stability of the positive equilibrium of the system with or without delay are completely determined in the parameter plane. Considering delay as parameter, we investigate the effect of delay on stability of the coexisting equilibrium. It is observed that there are stability switches and a Hopf bifurcation occurs when the delay crosses some critical values. Employing the normal form theory, the direction and stability of the Hopf bifurcations are explicitly determined by the parameters of the system. Optimal harvesting is also investigated and some numerical simulations are given to support and extend our theoretical results.

引用

页数：41

共 50 条

[41] Turing instability and Hopf bifurcation in a diffusive Leslie-Gower predator-prey model
Peng, Yahong
Liu, Yangyang
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (14) : 4158 - 4170
[42] Global attractivity of Leslie-Gower predator-prey model incorporating prey cannibalism
Lin, Qifa
Liu, Chulei
Xie, Xiangdong
Xue, Yalong
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[43] COMPLEX DYNAMICAL BEHAVIORS OF A DISCRETE MODIFIED LESLIE-GOWER PREDATOR-PREY MODEL WITH PREY HARVESTING
Zhao, Ming
Sun, Yajie
Du, Yunfei
JOURNAL OF BIOLOGICAL SYSTEMS, 2025, 33 (01) : 101 - 127
[44] Stability for a diffusive delayed predator-prey model with modified Leslie-Gower and Holling-type II schemes
Tian, Yanling
APPLICATIONS OF MATHEMATICS, 2014, 59 (02) : 217 - 240
[45] Multiple bifurcations of a discrete modified Leslie-Gower predator-prey model
Sun, Yajie
Zhao, Ming
Du, Yunfei
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2023, 20 (12) : 20437 - 20467
[46] A modified Leslie-Gower predator-prey interaction model and parameter identifiability
Tripathi, Jai Prakash
Meghwani, Suraj S.
Thakur, Manoj
Abbas, Syed
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 54 : 331 - 346
[47] Bifurcation analysis of modified Leslie-Gower predator-prey model with Michaelis-Menten type prey harvesting
Gupta, R. P.
Chandra, Peeyush
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 398 (01) : 278 - 295
[48] Bifurcations in a Leslie-Gower predator-prey model with strong Allee effects and constant prey refuges
Chen, Fengde
Li, Zhong
Pan, Qin
Zhu, Qun
CHAOS SOLITONS & FRACTALS, 2025, 192
[49] Bifurcation analysis and simulations of a modified Leslie-Gower predator-prey model with constant-type prey harvesting
Jia, Xintian
Zhao, Ming
Huang, Kunlun
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (18) : 18789 - 18814
[50] Effect of parasitic infection in the Leslie-Gower predator-prey model
Haque, Mainul
Venturino, Ezio
JOURNAL OF BIOLOGICAL SYSTEMS, 2008, 16 (03) : 425 - 444

← 1 2 3 4 5 →