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K.A. Sidarto
Industrial and Financial Mathematics Research Group, Faculty of Mathematics and Nat- ural Sciences, Institut Teknologi Bandung, Bandung 40132, Indonesia.
Mathematics

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A MATHEMATICAL MODEL OF DENGUE INTERNAL TRANSMISSION PROCESS Nuraini, N.; Soewono, E.; Sidarto, K.A.
Journal of the Indonesian Mathematical Society Volume 13 Number 1 (April 2007)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.13.1.79.123-132

Abstract

In this paper we formulate a mathematical model of internal process of dengue virus transmission in the human body. We analyze the dynamic of dengue virus using a system of differential equation. We obtain a local stability of equilibrium for this model base on a threshold parameter. In particular, we prove the stability result for a free-virus and abundance of virus-states. Finally, numerical simulation of the model are performed to study the behaviour of the system for a short period of time.DOI : http://dx.doi.org/10.22342/jims.13.1.79.123-132
Co-Authors E. Soewono N. Nuraini