Optimization of Dengue Epidemics: a test case with different discretization schemes

TL;DR

This paper applies optimal control to Dengue epidemic modeling, comparing discretization schemes and solving the nonlinear optimization to inform disease management strategies.

Contribution

It introduces a nonlinear dynamic model of Dengue spread incorporating social and economic factors and evaluates discretization schemes for optimal control.

Findings

Euler and Runge Kutta schemes yield comparable results

Discretization impacts the accuracy of the optimal control solutions

The model provides insights into cost-effective Dengue control strategies

Abstract

The incidence of Dengue epidemiologic disease has grown in recent decades. In this paper an application of optimal control in Dengue epidemics is presented. The mathematical model includes the dynamic of Dengue mosquito, the affected persons, the people's motivation to combat the mosquito and the inherent social cost of the disease, such as cost with ill individuals, educations and sanitary campaigns. The dynamic model presents a set of nonlinear ordinary differential equations. The problem was discretized through Euler and Runge Kutta schemes, and solved using nonlinear optimization packages. The computational results as well as the main conclusions are shown.