Mathematical modelling of the epidemiology of Corona Virus Infection with constant spatial diffusion term in Ghana.

Document Type : Research Paper

Authors

Department of Mathematics, College of Science, Kwame Nkrumah University of Science and Technology, Ghana.

Abstract

The purpose of this study is to develop a mathematical model that incorporates diffusion term in one dimension in the dynamics of Corona Virus Disease-19 (Covid-19) in Ghana. A reaction-diffusion model is derived by applying the law of conservation of matter and Fick's law which are fundamental theorems in fluid dynamics. Since Covid-19 is declared to be pandemic, most African countries are affected by the negative impacts of the disease. However, controlling the spread becomes a challenge for many developing countries like Ghana. A lot of studies about the dynamics of the infection do not consider the fact that since the disease is pandemic, its model should be spatially dependent, therefore fail to incorporate the diffusion aspect. In this study, the local and global stability analysis are carried out to determine the qualitative solutions to the SEIQRF model. Significant findings are made from these analysis as well as the numerical simulations and results. The basic reproduction number ($R_o$) calculated at the disease-free fixed point is obtained to be $R_o\approx2.5$ implying that, an infectious individual is likely to transmit the corona virus to about three susceptible persons. A Lyapunov functional constructed at the endemic fixed point also explains that, the system is globally asymptotically stable, meaning that Covid-19 will be under control in Ghana for a long period of time.

Keywords

Main Subjects

Computational Methods for Differential Equations

Articles in Press, Accepted Manuscript
Available Online from 11 August 2024

Files

History

  • Receive Date: 30 October 2023
  • Revise Date: 30 July 2024
  • Accept Date: 11 August 2024

Share

How to cite

Statistics