The Effect of Time Delay on Dynamical Behavior in an Ecoepidemiological Model

Changjin Xu, Yusen Wu

Type: Article

Publication Date: 2012-01-01

Citations: 1

DOI: https://doi.org/10.1155/2012/286961

Abstract

A delayed predator‐prey model with disease in the prey is investigated. The conditions for the local stability and the existence of Hopf bifurcation at the positive equilibrium of the system are derived. The effect of the two different time delays on the dynamical behavior has been given. Numerical simulations are performed to illustrate the theoretical analysis. Finally, the main conclusions are drawn.

Locations

Journal of Applied Mathematics - View - PDF
Project Euclid (Cornell University) - View - PDF
DOAJ (DOAJ: Directory of Open Access Journals) - View

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+	The Effect of Time Delay in a Two-Patch Model with Random Dispersal	2013	Kang‐Ling Liao Yuan Lou

Works Cited by This (18)

Action	Title	Year	Authors
+	Delay differential equations with applications in population dynamics	1993	Yang Kuang
+	Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments	2003	Rui Xu Mark A. J. Chaplain Fordyce A. Davidson
+	Local Hopf bifurcation and global periodic solutions in a delayed predator–prey system	2004	Yongli Song Junjie Wei
+	Modelling and analysis of a prey–predator system with stage-structure and harvesting	2006	T. K. Kar U. K. Pahari
+	Dynamic behaviour of a delayed predator–prey model with harvesting	2011	T. K. Kar Abhijit Ghorai
+	Stability and Hopf bifurcation in a ratio-dependent predator–prey system with stage structure	2007	Rui Xu Zhien Ma
+	Global existence of periodic solutions in a class of delayed Gause-type predator-prey systems	1997	Tao Zhao Yang Kuang Hal L. Smith
+	Analysis of nonautonomous predator-prey model with nonlinear diffusion and time delay	2007	Xueyong Zhou Xiangyun Shi Xinyu Song
+	Theory of Functional Differential Equations	1977	Jack K. Hale
+	Hopf bifurcation and global stability for a delayed predator–prey system with stage structure for predator	2008	Shujing Gao Lansun Chen Zhidong Teng