Mathematical model showing preventive measure as a key to reducing Coronavirus disease (COVID-19) spread

Authors

  • C. Okoye Department of Mathematics, University of Nigeria, Nsukka, Nigeria
  • M.B. Okofu Department of Mathematics, University of Nigeria, Nsukka, Nigeria
  • N.K. Nubila Department of Pharmacology and Therapeutics, University of Nigeria, Nsukka, Nigeria
  • C.L. Ejikeme Department of Mathematics, University of Nigeria, Nsukka, Nigeria
  • D.F. Agbebaku Department of Mathematics, University of Nigeria, Nsukka, Nigeria

Keywords:

COVID-19, preventive measures, effective reproduction number, equilibrium point, stability

Abstract

A set of non-linear Mathematical equations of COVID-19 model, presented in a flow diagram was proposed to study and ascertain the impact of preventive measures (self isolation and social distancing) to curtailing the spread of the disease. To this effect, we computed the threshold quantity Reff (Effective Reproduction Number), carried out the stability analysis on the equilibrium points obtained using Jacobian technique (Eigenvalue approach), Castilo-Chavez method and a suitable Lyapunov function. We discovered that the Disease Free equilibrium point failed the long term test whereas the Endemic Equilibrium was globally asymptotically stable, thus implying that the COVID-19 spread could be curtailed or curbed in the presence of preventive measures (self isolation and social distancing) as advocated.

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Published

2024-11-24

How to Cite

Okoye, C. ., Okofu, M. ., Nubila, . N. ., Ejikeme , C. ., & Agbebaku, D. . (2024). Mathematical model showing preventive measure as a key to reducing Coronavirus disease (COVID-19) spread. International Journal of Mathematical Analysis and Modelling, 7(2). Retrieved from https://tnsmb.org/journal/index.php/ijmam/article/view/170

Issue

Vol. 7 No. 2 (2024): Volume 7, Issue 2, 2024

Section

Articles