Dynamical behavior of a delayed diffusive predator–prey model with competition and type III functional response

Xu, Changjin; Zhang, Qiming

Dynamical behavior of a delayed diffusive predator–prey model with competition and type III functional response

Document Type : Original Article

Authors

Changjin Xu ¹
Qiming Zhang ²

¹ Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, PR China

² College of Science, Hunan University of Technology, Zhuzhou 412007, PR China

Abstract

In this paper, a delayed diffusive predator–prey model with competition and type III functional
response is investigated. By using inequality analytical technique, some sufficient conditions
which ensure the permanence of the model have been derived. By Lyapunov functional method, a
series of sufficient conditions which assure the global asymptotic stability of the system are established.
The paper ends with some numerical simulations that illustrate our analytical predictions.

Keywords