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Mathematical Modelling of Malaria with Treatment

Published online by Cambridge University Press:  03 June 2015

Mini Ghosh
Mini Ghosh*
Affiliation:
School of Advanced Sciences, VIT University, Chennai Campus, Chennai, India
*
*Corresponding author. Email: minighosh@vit.ac.in
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Abstract

This paper proposes a Susceptible-Infective-Susceptible (SIS) model to study the malaria transmission with treatment by considering logistic growth of mosquito population. In this work, it is assumed that the treatment rate is proportional to the number of infectives below the capacity and is constant when the number of infectives is greater than the capacity. We find that the system exhibits backward bifurcation if the capacity is small and it gives bi-stable equilibria which makes the system more sensitive to the initial conditions. The existence and stability of the equilibria of the model are discussed in-detail and numerical simulations are presented to illustrate the numerical results.

Keywords

92D3037N25Malariatreatmentsimulation
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 5 , Issue 6 , December 2013 , pp. 857 - 871
Copyright
Copyright © Global-Science Press 2013

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