Abstract—A mathematical model of Zika virus is studied in this paper. Zika is caused by Zika virus, a flavivirus related to yellow fever, dengue. In 1952, first outbreak occurred in Uganda. In 1962, an epidemic was recognized as the first time in Thailand. In this study, we consider the transmission cycle between two population groups: human and mosquito. Using standard dynamical modeling method, the stability conditions of our model is considered by Routh-Hurwitz criteria. The numerical simulations are shown to support the analytical results.

Index Terms—Basic reproductive number, disease free steady state, endemic steady state, stability, Zika.

Jiraporn Lamwong is with Department of General Basis, Thatphanom College, Nakhon Phanom University, Thailand (email: kppuntan@kmitl.ac.th).
Puntani Pongsumpun is with Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Thailand.

Cite: Jiraporn Lamwong, Puntani Pongsumpun, "The Zika Virus Transmission Model," International Journal of Bioscience, Biochemistry and Bioinformatics vol. 7, no. 2, pp. 66-73, 2017.