A mathematical model for pest management in Jatropha curcas with integrated pesticides - An optimal control approach

This paper presents the formulation and analysis of a mathematical model for Jatropha curcas plantation with a view to control its natural pests using application of integrated pesticides. Bio-pesticides are costly, require a long term process and expensive to impose. But if chemical pesticides are introduced in the farming system along with bio-pesticide, the process will be faster as well as cost effective. Here, we study the control of pests using integrated approach i.e. using combination of bio-pesticides and chemical pesticides. We identify the parameter for which stability switches may occur. Finally, optimal concentration profile of both pesticides have been determined using optimal control theory to minimize it negative effects and also to make the process cost effective. Numerical simulations justify the main results.