A delayed prey–predator system with prey subject to the strong Allee effect and disease
Article Type
Research Article
Publication Title
Nonlinear Dynamics
Abstract
In this article, an eco-epidemiological model with strong Allee effect in prey population growth is presented by a system of delay differential equations. The time lag in terms of the delay parameter corresponds to the predator gestation period. We inspect elementary mathematical characteristic of the proposed model such as uniform persistence, stability and Hopf bifurcation at the interior equilibrium point of the system. We execute several numerical simulations to illustrate the proposed mathematical model and our analytical findings. We use basic tools of nonlinear dynamic analysis as first return maps, Poincare sections and Lyapunov exponents to identify chaotic behavior of the system. We observe that the system exhibits chaotic oscillation due to the increase of the delay parameter. Such chaotic behavior can be suppressed by the strength of Allee effect.
First Page
1569
Last Page
1594
DOI
10.1007/s11071-015-2589-9
Publication Date
5-1-2016
Recommended Citation
Biswas, Santanu; Saifuddin, Md; Sasmal, Sourav Kumar; Samanta, Sudip; Pal, Nikhil; Ababneh, Faisal; and Chattopadhyay, Joydev, "A delayed prey–predator system with prey subject to the strong Allee effect and disease" (2016). Journal Articles. 4051.
https://digitalcommons.isical.ac.in/journal-articles/4051