Abstract

MATHEMATICAL MODELLING OF PNEUMONIA DYNAMICS OF CHILDREN UNDER THE AGE OF FIVE

Erinle-Ibrahim, L.M., Idowu K.O.

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This paper work was designed to study the effect of treatment on the transmission of pneumonia infection. When studying the transmission dynamics of infectious diseases with an objective of suggesting control measures, it is important to consider the stability of equilibrium points. In this paper, basic reproduction number, effective reproduction number, existences and stability of the equilibrium point were established. Using Lyaponov function we discovered that the disease free equilibrium is unstable. The results are presented in graphs and it is discovered that the spread of the infection will be greatly affected by the rate of treatment and natural immunity. Keywords: Positivity and Boundedness, Basic Reproduction Number, Control Reproduction Number, Infection Free Points, Endemic Equilibrium point, Stability, Global Stability.

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