MODELLING AND ANALYSIS OF PREY-PREDATOR MODEL INVOLVING PREDATION OF MATURE PREY USING DELAY DIFFERENTIAL EQUATIONS

被引:2
|
作者
Kumar, Pankaj [1 ]
Raj, Shiv [2 ]
机构
[1] Lovely Profess Univ, Dept Math, Phagwara 144411, Punjab, India
[2] Lovely Profess Univ, Phagwara 144411, Punjab, India
来源
NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION | 2022年 / 12卷 / 04期
关键词
Prey-Predator model; Equilibrium; Delay; Stability; Hopf-bifurcation; DYNAMICS; DISEASE; STABILITY;
D O I
10.3934/naco.2021035
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the modelling and analysis of prey-predator model involving predation of mature prey is done using DDE. Equilibrium points are calculated and stability analysis is performed about non-zero equilibrium point. Delay parameter destabilizes the system and triggers asymptotic stability when value of delay parameter is below the critical point. Hopf bifurcation is observed when the value of delay parameter crosses the critical point. Sensitivity analysis has also been performed to look into the effect of other parameters on the state variables. The numerical results are substantiated using MATLAB.
引用
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页码:783 / 791
页数:9
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