A Study on Seiqr Mathematical Model With Vaccination and Preventive Control Efforts

  • A. O. Sangotola Department of Physical Sciences, Bells University of Technology, Ota, Nigeria.
  • S. B. Adeyemo Department of Mathematics and Statistics, California State University, Long Beach, California, USA.
DOI: https://doi.org/10.6084/m9.figshare.21758705
Keywords: Endemic equilibrium, Sensitivity Analysis, Lyapunov Function, Basic Reproduction Number, Stability

Abstract

We present the dynamics of a SEIQR mathematical model with vaccination and preventive control measures in the susceptible class. The basic reproduction number of the model dynamics is obtained by using the next-generation matrix method. The disease-free equilibrium point of the model is found to be locally asymptotically stable if R0 j=0< 1 and a unique endemic equilibrium point exists if R0 j!=0> 1. The disease-free equilibrium point of the model is found to be globally asymptotically stable if R0 j!=0 1 by using a suitable Lyapunov function. The contribution of the model parameters to the basic reproduction number is also determined through sensitivity analysis.

Published
2023-01-22
How to Cite
Sangotola, A. O., & Adeyemo, S. B. (2023). A Study on Seiqr Mathematical Model With Vaccination and Preventive Control Efforts. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 8(2), 15 - 22. https://doi.org/10.6084/m9.figshare.21758705
Issue
Vol 8 No 2 (2022)
Section
Articles

Copyright (c) 2023 A. O. Sangotola, S. B. Adeyemo

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