Optimal control strategy of Rotavirus Disease for a Discrete Time SIRSE Model
Date
2019-08
Authors
Namawejje, Hellen
Obuya, Emmanuel
Journal Title
Journal ISSN
Volume Title
Publisher
Strathmore University
Abstract
In this paper, we examine the optimal control strategy of an SIRSE (Susceptible Infected
Recovered - Susceptible - Environment) model with discrete time. With an objective to reduce
the number of infected individuals and the associated cost involved. We analyze the conditions
for optimality using the optimal control theory and Pontryagins maximum principle in discrete
time. The numerical simulation is carried out using MATLAB, solving the fourth order Runge-
Kutta Scheme. Results obtained confirm that multiple control strategies are more effective in the
controlling of rotavirus disease.
Description
Paper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenya
Keywords
Discrete time, Optimal control, Rotavirus, Pontryagins maximum Principle