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, Page 379-385 PDF (568.86 K) | ||||
Document Type: Original Article | ||||
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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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