NDLI: Permanence of a Delayed Predator-Prey Model with Stage-Structure and Holling II Functional Response

Content Provider	IEEE Xplore Digital Library
Author	Liu Shaoying Cao Xinjie Pei Yongzhen
Copyright Year	2011
Abstract	Considering the prey is a linear growth and is impulsively harvest, in this paper a predator-prey model with a stage structure for the predator which improves the assumption that each individual predator has the same ability to capture prey is proposed. It is assumed that immature individuals and mature individuals of the predator are divided by a fixed age and that immature predator do not have the ability to attach prey. By using the comparison theorem in impulsive differential equation,we obtain that when the death rate of the mature predator is less than the critical value and the impulsive period is larger than some critical value,the system is shown to be permanent, Our results indicate that the permanence of the system depends on impulsive perturbation.
Starting Page	1
Ending Page	4
File Size	413485
Page Count	4
File Format	PDF
ISBN	9781457708596
e-ISBN	9781457708602
DOI	10.1109/ICCASE.2011.5997639
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-07-30
Publisher Place	Singapore
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Analytical models Biological system modeling Delay effects Differential equations Predator prey systems Mathematical model Equations
Content Type	Text
Resource Type	Article

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Permanence of a Delayed Predator-Prey Model with Stage-Structure and Holling II Functional Response