Optimal Control and Cost Effectiveness Analysis of Tomato Yellow Leaf Curl Virus Disease Epidemic Model

Abstract This paper concentrates on the mathematical model for optimal control and cost-effectiveness analysis of

tomato yellow leaf curl virus disease. The boundedness of the model has been analytically examined. The preferable optimal

level of the intervention strategy to reduce the spreads and the cost of implementing control strategies were determined by

introducing the time-dependent control. Pontryagin’s maximum principle was used to determine necessary conditions for the

optimal control of the disease while numerical results obtained through forward-backward sweep method and fourth-order

Runge-Kutta scheme using the forward solution of the state equations. The cost-effectiveness analysis results show that

protective netting and removal of the infected plant is the most cost-effective strategy to combat the epidemic of tomato

disease with limited resources. Therefore, TYLCV can be controlled if the farmers will effectively apply protective netting

and remove the infected plants from the farm

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