Optimal control and sensitivity analysis of age-structured mathematical model of Diphtheria infection

Authors

  • E.S. Udofia * Department of Mathematics, Akwa Ibom State University, Ikot Akpaden, Akwa Ibom State, Nigeria
  • J.I. Uwakwe † Department of Mathematics, Alvan Ikoku University of Education, Owerri, Imo State, Nigeria
  • H.S. Thomas Department of Mathematics, Akwa Ibom State University, Ikot Akpaden, Akwa Ibom State, Nigeria

Keywords:

Diphtheria, Optimal Control, Sensitivity, Asymptomatic, Symptomatic

Abstract

The work presented an age-structured deterministic model of a system of ordinary differential equations of diphtheria infection transmission dynamics. Optimal control theory was used to study the impact of personal protection, vaccination and treatment as effective control measures against the epidemics and established necessary conditions for the optimal control of the system. The application of time-dependent controls can reduce the total number of infected (symptomatic and asymptomatic) individuals in the population To determine the most influential parameters of the model that greatly influence the prevalence of diphtheria, sensitivity analysis was carried out on �

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Published

2024-06-30

How to Cite

Udofia *, E. ., Uwakwe †, J. ., & Thomas, H. . (2024). Optimal control and sensitivity analysis of age-structured mathematical model of Diphtheria infection. International Journal of Mathematical Analysis and Modelling, 7(1). Retrieved from https://tnsmb.org/journal/index.php/ijmam/article/view/139

Issue

Vol. 7 No. 1 (2024): Volume 7, Issue 1 (2024)

Section

Articles