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

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-12
Year of Publication : 2021
Authors : M. A. Afolabi, S. O. Adewale
  10.14445/22315373/IJMTT-V67I12P503

MLA

MLA Style: 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 67.12 (2021):21-40. 

APA Style: M. A. Afolabi, S. O. Adewale(2021). Sensitivity Analysis on Mathematical Modeling of Transmission Dynamics of Tuberculosis–Malaria Co-infections International Journal of Mathematics Trends and Technology, 67(12), 21-40.

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.

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