The role of viral infection in pest control: a mathematical study.
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 'kappa' viruses per host, kappa e (1,infinity), so the 'virus replication parameter' is chosen as the main parameter on which the dynamics of the infection depends. There exists a threshold value kappa 0 beyond which the infection persists in the system. Still for increasing the value of kappa, 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.
Ghosh
S
S
Department of Pure Mathematics, University of Calcutta, 35 B. C. Road, Calcutta, 700 019, India.
Bhattacharyya
S
S
Bhattacharya
D K
DK
D000818:Animals; D018562:Disease Transmission, Infectious; D017753:Ecosystem; D054884:Host-Pathogen Interactions; D008433:Mathematics; D008954:Models, Biological; D010572:Pest Control, Biological / Q000706:statistics & numerical data*; D014777:Virus Diseases / Q000517:prevention & control* / Q000635:transmission