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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

Keywords

mathematical model equilibrium points threshold parameter numerical simulation

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How to Cite
Nuraini, N., Soewono, E., & Sidarto, K. (2012). A MATHEMATICAL MODEL OF DENGUE INTERNAL TRANSMISSION PROCESS. Journal of the Indonesian Mathematical Society, 13(1), 123–132. https://doi.org/10.22342/jims.13.1.79.123-132