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- Title
The Role of Viral Infection in Pest Control: A Mathematical Study.
- Authors
Ghosh, S.; Bhattacharyya, S.; Bhattacharya, D. K.
- Abstract
In this paper, we propose a mathematical model of viral infection in pest control. As the viral infection induces host lysis which releases more virus into the environment, on the average 'κ?' viruses per host, κ (1,ϵ), so the 'virus replication parameter' is chosen as the main parameter on which the dynamics of the infection depends. There exists a threshold value κ0 beyond which the infection persists in the system. Still for increasing the value of κ?, the endemic equilibrium bifurcates towards a periodic solution, which essentially indicates that the viral pesticide has a density-dependent 'numerical response' component to its action. Investigation also includes the dependence of the process on predation of natural enemy into the system. A concluding discussion with numerical simulation of the model is also presented.
- Subjects
PEST control; VIRUS diseases; INFECTION; PESTICIDES; MATHEMATICAL models
- Publication
Bulletin of Mathematical Biology, 2007, Vol 69, Issue 8, p2649
- ISSN
0092-8240
- Publication type
Article
- DOI
10.1007/s11538-007-9235-8