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Effect of prey refuge on the dynamics and equilibrium density of
Ma Zhihui 1 #,Li Zizhen 2 *,Wang Shufang 2
1..Key Laboratory of Arid and Grassland Agroecology of Ministry of Education
2.School of Mathematics and Statistics, Lanzhou University
*Correspondence author
#Submitted by
Subject:
Funding: 国家自然科学基金,国家社科基金(No.No.03470298,No.04AJL007)
Opened online:30 October 2007
Accepted by: none
Citation: Ma Zhihui ,Li Zizhen ,Wang Shufang .Effect of prey refuge on the dynamics and equilibrium density of[OL]. [30 October 2007] http://en.paper.edu.cn/en_releasepaper/content/16034
 
 
In this paper, we use an analytical approach to study the dynamics of the simplest forms of refuge using by prey. Here we incorporate prey refuge in a widely known continuous model|the Lotka-Volterra model. We will evaluate the effect of prey refuge with regard to the local stability of equilibrium points in the 痳st quadrant and equilibrium density values. The results show that the effect of prey refuge can enhance the stability of equilibrium points and equilibrium density of prey and predator populations.
Keywords:Predator-prey models; Stability; Limit cycles; Prey refuge
 
 
 

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