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

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, R_e, 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.