Dynamic Analysis of General Integrated Pest Management Model with Double Impulsive Control
Joint Authors
Teng, Zhidong
Yingke, Li
Wang, Kai
Muhammadhaji, Ahmadjan
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-28
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A general predator-prey model with disease in the prey and double impulsive control is proposed and investigated for the purpose of integrated pest management.
By using the Floquet theory, the comparison theorem of impulsive differential equations, and the persistence theory of dynamical systems, we obtain that if threshold value R0<1, then the susceptible pest eradication periodic solution is globally asymptotically stable and if R0>1, then the model is permanent.
The numerical examples not only illustrate the theoretical results, but also show that when the model is permanent, then it may possess a unique globally attractive T-periodic solution.
American Psychological Association (APA)
Yingke, Li& Teng, Zhidong& Wang, Kai& Muhammadhaji, Ahmadjan. 2015. Dynamic Analysis of General Integrated Pest Management Model with Double Impulsive Control. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1060785
Modern Language Association (MLA)
Yingke, Li…[et al.]. Dynamic Analysis of General Integrated Pest Management Model with Double Impulsive Control. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1060785
American Medical Association (AMA)
Yingke, Li& Teng, Zhidong& Wang, Kai& Muhammadhaji, Ahmadjan. Dynamic Analysis of General Integrated Pest Management Model with Double Impulsive Control. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1060785
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060785