On the reproduction number of a model for the transmission dynamics of Malaria and Pneumonia co-infection with mass action incidence

Authors

  • M.O. Adeniyi* Department of Mathematical Science, Lagos State University of Science and Technology, Lagos State, Nigeria
  • T.O. Oluyo Department of Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, Oyo State, Nigeria
  • O.Y. Oludoun Department of Mathematics, Bowen University, Iwo, Osun State, Nigeria

Keywords:

malaria, malaria-pneumonia, disease-free equilibrium, global stability, basic repro- duction number, pneumonia

Abstract

Pneumonia and malaria are two of the world’s most lethal diseases. The geographic overlap of these diseases in Sub-Saharan Africa facilitates co-infection. The effect of the basic reproduction number on the transmission dynamics of malaria and pneumonia co-infection is investigated in this study. The co-infection model for malaria and pneumonia revealed that there is a relationship between the reproduction number for malaria and pneumonia. The study also discovered that pneumonia disease can aggravate malaria in the population. Considering the global stability of the model, the disease free equilibrium (DFE) account for co-infected persons must be less than unity to ensure global stability of the model.

Downloads

Published

2023-09-28

How to Cite

Adeniyi*, M., Oluyo, T. ., & Oludoun, O. . (2023). On the reproduction number of a model for the transmission dynamics of Malaria and Pneumonia co-infection with mass action incidence. International Journal of Mathematical Analysis and Modelling, 5(2). Retrieved from https://tnsmb.org/journal/index.php/ijmam/article/view/40