Document Type : Research Paper

Authors

• Haileyesus Tessema Alemneh ¹
• Getachew Teshome Tilahun ²
• Legesse Lemecha ³

¹ Ethiopia P.O. Box 196

² Department of Mathematics, Haramaya University

³ School of Applied Mathematics, Adama Science and Technology University, P.O. Box 1888, Adama, Ethiopia

Abstract

In this paper, we developed an optimal control model of Chikungunya disease dynamics.

Firstly, we proposed the basic model by dividing human and vector populations. The human

population is sub-divided into four compartments according to the disease status. The vector

population also subdivided into three compartments depending on the parasite status in the vector. Secondly, we extend the basic model by incorporating three time-dependent controls as an

intervention. To analyze the optimal control we used the Pontryagian minimum principle. Finally, we simulated the optimality system by proposing three strategies to combat Chikungunya

disease. Therefore, from the result, we conclude that, for optimal control of Chikungunya disease,

the concerned body must focus on using all the integrated strategies; a combination of prevention,

insecticide chemical for the vector population eradication, and treatment of infected individuals

to combat Chikungunya disease in the specified period of time

Keywords

• Chikungunya
• Mathematical Modeling
• Optimal control Theory
• Numerical simulation