Mathematical Analysis to Mitigate the Infections of the Diseases using Optimal Control Strategy

Abstract

For the infectious diseases a mathematical model satisfying optimal control strategy is studied here to propose a technique by which the number of infected individuals can be minimized effectively for the ultimate eradication of the disease. For this purpose, we have presented a deterministic system of differential equation which is analyzed both mathematically and numerically. The main purpose of this study is to develop a strategy so that we can minimize the infections using suitable control measure. In our study we have used vaccination as the control measure which minimizes the number of infected and latent infected individuals and the ultimate vaccination cost. Some necessary conditions of the system are also described here using different types of principles. Numerical simulation is carried out using MATLAB programming which suggests that a successful short term control is possible if we can adopt the control strategies at early stages. Lastly we have analyzed the simulation result for lower and higher incidence coefficient and we observe that the result effectively works for lower incidence rate.

Cite as

Samiha Islam Tannin, Md. Robiul Islam, Md. Shorif Hossain, Sharmin Alam, & Tanzila Yeasmin Nilu. (2021). Mathematical Analysis to Mitigate the Infections of the Diseases using Optimal Control Strategy. Journal of Applied Mathematics and Statistical Analysis, 2(2), 1–8. https://doi.org/10.5281/zenodo.5524143