Dynamic Analysis of an Impulsive Predator-Prey Model with Disease in Prey and Ivlev-Type Functional Response
Joint Authors
Tang, Guoqiang
Li, Peiluan
Shao, Yuanfu
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-09
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
A predator-prey model with disease in prey, Ivlev-type functional response, and impulsive effects is proposed.
By using Floquet theory and small amplitude perturbation skill, sufficient conditions of the existence and global stability of susceptible pest-eradication periodic solution are obtained.
By impulsive comparison theorem, conditions ensuring the permanence of the system are established.
Examples and simulation are given to show the complex dynamics for the key parameters.
American Psychological Association (APA)
Shao, Yuanfu& Li, Peiluan& Tang, Guoqiang. 2012. Dynamic Analysis of an Impulsive Predator-Prey Model with Disease in Prey and Ivlev-Type Functional Response. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-495783
Modern Language Association (MLA)
Shao, Yuanfu…[et al.]. Dynamic Analysis of an Impulsive Predator-Prey Model with Disease in Prey and Ivlev-Type Functional Response. Abstract and Applied Analysis No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-495783
American Medical Association (AMA)
Shao, Yuanfu& Li, Peiluan& Tang, Guoqiang. Dynamic Analysis of an Impulsive Predator-Prey Model with Disease in Prey and Ivlev-Type Functional Response. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-495783
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495783
