Analysis of a predator-prey system with Beddington-type functional response and stage-structure of prey
by Yuanfu Shao; Xiangmin Ma
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 7, No. 1, 2017

Abstract: Taking into account stage-structure for prey and periodic pulse at different fixed moments, a delayed prey-predator system with Beddington-type functional response was investigated. Applying the small amplitude perturbation method and Floquet's theory, we obtained the sufficient conditions for the local stability, globally asymptotical stability and global attractivity of the prey-extinction periodic solution. Further, by using theories of impulsive differential equation and delay differential equation, we obtained the conditions of the permanence of this system. Finally, examples and numerical simulations are given to show the complex dynamic behaviours of the system. Especially, we find that the impulsive and the time delay play an important role in the permanence of the system.

Online publication date: Thu, 20-Apr-2017

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Dynamical Systems and Differential Equations (IJDSDE):
Login with your Inderscience username and password:

Username:        Password:          Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com