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

Authors:
Open Access
Publisher website
Google Scholar
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.
Funding Information
  • National Natural Science Foundation of China (61773014, 201906840070, 2018GXNSFAA294010, 2019KY0669, 2019XTZZ06)
  • China Scholarship Council (61773014, 201906840070, 2018GXNSFAA294010, 2019KY0669, 2019XTZZ06)
  • Natural Science Foundation of Guangxi Province (61773014, 201906840070, 2018GXNSFAA294010, 2019KY0669, 2019XTZZ06)
  • Middle-aged and Young Teachers' Basic Ability Promotion Project of Guangxi (61773014, 201906840070, 2018GXNSFAA294010, 2019KY0669, 2019XTZZ06)
  • Guangxi University of Finance and Economics (61773014, 201906840070, 2018GXNSFAA294010, 2019KY0669, 2019XTZZ06)
  • Guangxi Key Laboratory Cultivation Base of Cross-border E-Commerce Intelligent Information Processing (61773014, 201906840070, 2018GXNSFAA294010, 2019KY0669, 2019XTZZ06)

This publication has 35 references indexed in Scilit: