Approximated Analytical Solution to an Ebola Optimal Control Problem
Doracelly Hincapie-Palacio, Juan Ospina, Delfim F. M. Torres
TL;DR
This paper derives an approximate analytical solution to an Ebola optimal control problem using the Euler-Lagrange equation, providing a simpler alternative to numerical methods and confirming previous results.
Contribution
It introduces a first-order analytical approximation method for Ebola control problems, complementing existing numerical approaches.
Findings
Analytical solution aligns with numerical results
Method implemented in Maple
Simplifies Ebola control problem analysis
Abstract
An analytical expression for the optimal control of an Ebola problem is obtained. The analytical solution is found as a first-order approximation to the Pontryagin Maximum Principle via the Euler-Lagrange equation. An implementation of the method is given using the computer algebra system Maple. Our analytical solutions confirm the results recently reported in the literature using numerical methods.
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