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,∞), so the ‘virus replication parameter’ is chosen as the main parameter on which the dynamics of the infection depends. There exists a threshold value κ 0 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.
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Ghosh, S., Bhattacharyya, S. & Bhattacharya, D.K. The Role of Viral Infection in Pest Control: A Mathematical Study. Bull. Math. Biol. 69, 2649–2691 (2007). https://doi.org/10.1007/s11538-007-9235-8
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DOI: https://doi.org/10.1007/s11538-007-9235-8