On an Impulsive Food Web System with Mutual Interference and Distributed Time Delay

Abstract

In this paper, we present a predator-prey system with mutual interference and distributed time delay and study its dynamical behavior. Based on the existence and universality of mutual interference among species, it is necessary to further study an impulsive food web system. By using stability theory, slight perturbation technique, and comparison theorem, we obtain some theoretical results of the system, such as boundedness and permanence. Moreover, numerical experiments are used to verify the theoretical results and to explore the dynamical behavior of the system, which exhibits rich dynamical behavior such as chaotic oscillation, periodic oscillation, symmetry-breaking bifurcations, chaotic crises, and period bifurcation. Finally, we give some practical guidelines for biological systems based on the theoretical results and numerical experiments of the system.

Artificial intelligence knacks-based stochastic paradigm to study the dynamics of plant virus propagation model with impact of seasonality and delays

“…Numerous studies dealing with infections have used constant delays, representing either the infectious phase following the removal of infected individuals or the latency phase after the infection has passed [27]. Wang et al presented the dynamics of a predator-prey model including distributed delay with respect to time and mutual interference [28]. Zhang et al considered the model of vector-borne disease having two delays and involving reinfection and discussed the system equilibrium [29].…”