DYNAMICS OF A PREY-PREDATOR MODEL INCORPORATING GESTATION TIME DELAY AND FEAR EFFECT

被引：2

作者：

Liu, Juan ^{[1
]}

Upadhyay, Ranjit Kumar ^{[2
]}

Agrawal, Rashmi ^{[3
]}

Zeb, Anwar ^{[4
]}

Saeed, Tareq ^{[5
]}

机构：

[1] Bengbu Univ, Sch Sci, Bengbu 233030, Peoples R China

[2] Indian Inst Technol, Indian Sch Mines, Dept Math & Comp, Dhanbad 826004, Jharkhand, India

[3] Indian Inst Informat Technol, Dept Humanities & Sci, Dharwad 580009, Karnataka, India

[4] COMSATS Univ Islamabad, Dept Math, Abbottabad, Pakistan

[5] King Abdulaziz Univ, Fac Sci, Dept Math, Financial Math & Actuarial Sci FMAS Res Grp, POB 80203, Jeddah 21589, Saudi Arabia

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2023年 / 31卷 / 10期

关键词：

Fear Effect; Delay; Predator-Prey Model; Hopf Bifurcation; Global Stability; Periodic Solutions; FOOD-CHAIN MODEL; RISK; STRATEGY; SYSTEM;

D O I：

10.1142/S0218348X23401552

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The anti-predator element because of fear from predator population in prey-predator models has an excellent significance and it is able to lessen the duplicate of prey population to a positive degree. In this paper, a delayed prey-predator model including fear effect and predator-taxis sensitivity is studied. Local stability and occurrence of Hopf bifurcation are analyzed by fixing the time delay as the bifurcating parameter. Then, a series of sufficient criteria for global stability is established by designing a suitable Lyapunov function. Furthermore, direction and stability of the Hopf bifurcation are studied. Lastly, numerical simulation outcomes are performed to confirm our theoretical findings.

引用

页数：10

共 33 条

[1] THE ORIGINS AND EVOLUTION OF PREDATOR PREY THEORY [J].