Local and global stability analysis of a COVID-19 model dynamics with healthy diet as control

Uchenna E. Michael, Louis O. Omenyi, Kafayat O. Elebute, Akachukwu A. Offia

Abstract


We construct and analyse a nonlinear deterministic mathematical model for the transmission dynamics of COVID-19 with healthy diet as a control. The effective reproduction number, Re, of the model is computed and its sensitivity analysis done. Our results are the proof of existence of forward bifurcation using center manifold theory and stability of the equilibrium points. Model fitting was done with data published by Nigeria Centre for Disease Control (NCDC) on COVID-19 and we estimated the model parameters by least square. Our simulation and analysis results show asymptotic stability. Thus, a consistent intake of healthy diet boost the immune system which help in wading-off COVID-19 when an individual is exposed.

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Published: 2022-06-20

How to Cite this Article:

Uchenna E. Michael, Louis O. Omenyi, Kafayat O. Elebute, Akachukwu A. Offia, Local and global stability analysis of a COVID-19 model dynamics with healthy diet as control, J. Math. Comput. Sci., 12 (2022), Article ID 176

Copyright © 2022 Uchenna E. Michael, Louis O. Omenyi, Kafayat O. Elebute, Akachukwu A. Offia. 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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