Dynamical analysis of a prey-predator model incorporating a prey refuge with variable carrying capacity

被引：19

作者：

Al-Salti, N. ^{[1
]}

Al-Musalhi, F. ^{[2
]}

Gandhi, V ^{[3
]}

Al-Moqbali, M. ^{[1
]}

Elmojtaba, I ^{[1
]}

机构：

[1] Sultan Qaboos Univ, Dept Math, Al Khoud 123, Oman

[2] Sultan Qaboos Univ, Ctr Preparatory Studies, Al Khoud 123, Oman

[3] Kunsan Natl Univ, Sch IT Informat & Control Engn, Gunsan 54150, South Korea

来源：

ECOLOGICAL COMPLEXITY | 2021年 / 45卷

关键词：

Prey-predator model; Variable carrying capacity; Prey refuge; Holling type-II functional response;

D O I：

10.1016/j.ecocom.2020.100888

中图分类号：

Q14 [生态学（生物生态学）];

学科分类号：

071012 ; 0713 ;

摘要：

A prey-predator model incorporating prey refuge with variable carrying capacity and Holling type-II functional response is proposed and analyzed. The model includes a case of increasing carrying capacity as well as a decreasing carrying capacity case. Sufficient conditions are derived to ensure the existence and local stability of the equilibrium points of the proposed model. Moreover, the occurrence of transcritical bifurcation as well as Hopf bifurcation are investigated. The effect of some model parameter related to the prey refuge and the variable carrying capacity on the prey-predator dynamics has been examined. Numerical simulations are presented to demonstrate the theoretical results and to illustrate the effect of these parameters on the model dynamics. Moreover, a comparison with the constant carrying case has been presented.

引用

页数：11

共 21 条

[1] Prey-Predator Models with Variable Carrying Capacity [J].