Department of Mathematics, Wollega University, Nekemte, Ethiopia
Review Article
Mathematical Model for Transmission Dynamics of Hepatitus-A Viral Disease with Optimal Control Strategies
Author(s): Mamo Shigute Wameko*, Alemu Geleta Wedajo and Purnachandra Rao Koya
An epidemic model with optimal control strategies was investigated for Hepatitus-A Viral disease that can be transmitted through infected
individuals. In this study, we used a deterministic compartmental model for assessing the effect of different control strategies to control the spread
of Hepatitus-A viral disease in the community. Stability theory of differential equations is used to study the qualitative behavior of the system. The
basic reproduction number that represents the epidemic indicator is obtained by using the condition of endemicity. Both the local stability and
global stability conditions for disease free equilibrium is established. Uniqueness of endemic equilibrium point and its global stability conditions are
proved. Numerical simulation of the model showed that applying all the control strategies can eliminate the disease from the community. Howe.. Read More»
DOI:
10.37421/0974-7230.2021.14.346
Journal of Computer Science & Systems Biology received 2279 citations as per Google Scholar report
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