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

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