Modelling the Transmission Dynamics of Nipah Virus with Optimal Control

TL;DR

This paper develops a mathematical model for Nipah virus transmission, analyzes its stability, and uses optimal control theory to identify strategies that significantly reduce disease spread.

Contribution

It introduces a novel deterministic model incorporating optimal control to study Nipah virus transmission dynamics and control strategies.

Findings

Optimal control strategies effectively reduce disease transmission.

Numerical simulations demonstrate significant impact of controls on disease burden.

Model stability analysis confirms the robustness of the transmission dynamics.

Abstract

A deterministic mathematical model is formulated and analyzed to study the transmission dynamics of Nipah virus both qualitatively and numerically. Existence and stability of equilibria were investigated and the model was rigorously analyzed. We then incorporated time dependent controls on the model, using Pontryagin's Maximum Principle to derive necessary conditions for the optimal control of the disease. We examined various combination strategies so as to investigate the impact of the controls on the spread of the disease. Through the numerical results, we found out that the optimal control strategies help to reduce the burden of the diseases significantly