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Global Dynamics Behaviors of Viral Infection Model for Pest Management
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-02-24
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
According to biological strategy for pest control, a mathematical model with periodic releasing virus particles for insect viruses attacking pests is considered.
By using Floquet's theorem, small-amplitude perturbation skills and comparison theorem, we prove that all solutions of the system are uniformly ultimately bounded and there exists a globally asymptotically stable pest-eradication periodic solution when the amount of virus particles released is larger than some critical value.
When the amount of virus particles released is less than some critical value, the system is shown to be permanent, which implies that the trivial pest-eradication solution loses its stability.
Further, the mathematical results are also confirmed by means of numerical simulation.
American Psychological Association (APA)
Wei, Chunjin& Chen, Lansun. 2010. Global Dynamics Behaviors of Viral Infection Model for Pest Management. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-16.
https://search.emarefa.net/detail/BIM-491098
Modern Language Association (MLA)
Wei, Chunjin& Chen, Lansun. Global Dynamics Behaviors of Viral Infection Model for Pest Management. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-16.
https://search.emarefa.net/detail/BIM-491098
American Medical Association (AMA)
Wei, Chunjin& Chen, Lansun. Global Dynamics Behaviors of Viral Infection Model for Pest Management. Discrete Dynamics in Nature and Society. 2010. Vol. 2009, no. 2009, pp.1-16.
https://search.emarefa.net/detail/BIM-491098
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-491098