30Mar 2017

A NOTE ON STABILITY ANALYSIS OF COMPARTMENTAL MATHEMATICAL MODEL FOR THE SPREAD OF MALARIA.

  • Mirpur University of Science and Technology (MUST), Mirpur-10250(AJK ), Pakistan.
  • International Islamic University Islamabad Pakistan.
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In this study, we present a compartmental model for the spread of malaria in a population where group of individuals were vaccinated. The purpose of this paper is to analyze the transmission dynamics of Malaria by using the compartmental model, including ordinary differential equations for human host and mosquito vector populations. A parallel system is obtained, which has two equilibriums: a disease-free equilibrium and an endemic equilibrium. The stability of the equilibrium points is verified by the basic reproduction numberR_0 . Asymptotically stable solution is obtained only for disease-free equilibrium and results are presented graphically.

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[A. Ali, R. Hussain and M. Anayat. (2017); A NOTE ON STABILITY ANALYSIS OF COMPARTMENTAL MATHEMATICAL MODEL FOR THE SPREAD OF MALARIA. Int. J. of Adv. Res. 5 (Mar). 2409-2415] (ISSN 2320-5407). www.journalijar.com

M. Anayat
International Islamic University Islamabad Pakistan.

DOI:

Article DOI: 10.21474/IJAR01/3771      
DOI URL: https://dx.doi.org/10.21474/IJAR01/3771

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