Stability analysis and optimal control of mathematical model for the spread of hepatitis E

Maratus Sholikah, Cicik Alfiniyah, Miswanto -

Abstract


Hepatitis E disease is caused by hepatitis E virus (HEV). The transmission of hepatitis E from feces to the mouth is mainly through contaminated water and food. This paper proposes the dynamics of HEV transmission through a mathematical model. We analyze stability of equilibria point of the model. In addition, we analyze parameter sensitivity to determine the important role of every single parameter value on the model. Furthermore, we impose treatment and virus extermination on the model as strategy control to reduce HEV transmission. The simulation results indicate that the performance of two controls is effective to minimize the number of infected human and reduce the number of viruses in the environment.

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Published: 2020-07-07

How to Cite this Article:

Maratus Sholikah, Cicik Alfiniyah, Miswanto -, Stability analysis and optimal control of mathematical model for the spread of hepatitis E, Commun. Math. Biol. Neurosci., 2020 (2020), Article ID 37

Copyright © 2020 Maratus Sholikah, Cicik Alfiniyah, Miswanto -. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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