Dynamical behavior of a delayed diffusive predator–prey model with competition and type III functional response
Xu, C., Zhang, Q. (2014). Dynamical behavior of a delayed diffusive predator–prey model with competition and type III functional response. EKB Journal Management System, 22(3), 379-385.
Changjin Xu; Qiming Zhang. "Dynamical behavior of a delayed diffusive predator–prey model with competition and type III functional response". EKB Journal Management System, 22, 3, 2014, 379-385.
Xu, C., Zhang, Q. (2014). 'Dynamical behavior of a delayed diffusive predator–prey model with competition and type III functional response', EKB Journal Management System, 22(3), pp. 379-385.
Xu, C., Zhang, Q. Dynamical behavior of a delayed diffusive predator–prey model with competition and type III functional response. EKB Journal Management System, 2014; 22(3): 379-385.

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

Journal of the Egyptian Mathematical Society
Volume 22, Issue 3, October 2014, Pages 379-385    PDF (568.86 K)
Document Type: Original Article
Authors
Changjin Xu1; Qiming Zhang2
1Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, PR China
2College 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
Predator–prey model; Permanence; Global asymptotic stability; Type III functional response
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