A MATHEMATICAL MODEL OF DENGUE INTERNAL TRANSMISSION PROCESS

N. Nuraini, E. Soewono, K.A. Sidarto


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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p-ISSN:2086-8952e-ISSN:2460-0245