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

Full Text:

PDF


DOI: https://doi.org/10.22342/jims.13.1.79.123-132

Refbacks

  • There are currently no refbacks.



Journal of the Indonesian Mathematical Society
Mathematics Department, Universitas Gadjah Mada
Senolowo, Sinduadi, Mlati, Sleman Regency, Special Region of Yogyakarta 55281, Telp. (0274) 552243
Email: jims.indoms@gmail.com


p-ISSN: 2086-8952 | e-ISSN: 2460-0245


Journal of the Indonesian Mathematical Society is licensed under a Creative Commons Attribution 4.0 International License

web statistics
View My Stats