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Applied Mathematical Modelling
34, No. 5, 2010; Pages: 1382 - 1395

Optimization in microbial pest control: An integrated approach

S. Ghosh, D.K. Bhattacharya

Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, ON, Canada M3J 1P3.


The paper deals with optimal management of agricultural pest population under integrated control arising out of viral infection and spraying of pesticide. The costs of the control measures and the profits or projected profits of the biomass of species give rise to a control theoretic optimization problem. We take a four dimensional mathematical model of pest control under viral infection and pesticide, and apply Pontryagin’s maximum principle (PMP) to find out the necessary conditions on economic as well as on ecological parameters to make the control process maximum profitable.

Keywords: Insect pest control; Viral infection; Optimization



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