Sensitivity Analysis on Mathematical Modeling of Transmission Dynamics of Tuberculosis–Malaria Co-infections

M.A. Afolabi; S.O. Adewale

doi:https://doi.org/10.14445/22315373/IJMTT-V67I12P503

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 12 | Year 2021 | Article Id. IJMTT-V67I12P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I12P503

Sensitivity Analysis on Mathematical Modeling of Transmission Dynamics of Tuberculosis–Malaria Co-infections

M.A. Afolabi, S.O. Adewale

Citation :

M.A. Afolabi, S.O. Adewale, "Sensitivity Analysis on Mathematical Modeling of Transmission Dynamics of Tuberculosis–Malaria Co-infections," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 12, pp. 21-40, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I12P503

Abstract

Tuberculosis (TB) and malaria are the most prevalent bacterial and parasitic infections in humans and continue to be major causes of morbidity and mortality in the population. A co-infection of TB and malaria epidemic model was formulated as a system of ordinary differential equation. Positivity and Invariant regions indicated that the model was mathematically well posed and epidemiologically feasible. Disease free equilibrium were locally and globally asymptotically stable whenever the basic reproduction number is less than unity and endemic when greater than one. The basic reproduction number R0TM of 0.7359316 was obtained. Sensitivity results indicated that an effective contact rate was the most sensitive parameter with value of 1.000 which propels the basic reproduction. Significantly, the results obtained showed that the higher the value of effective contact rates the higher the basic reproduction number.

Keywords

Tuberculosis-malaria, basic reproduction number, sensitivity analysis, disease free equilibrium, numerical simulation.

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