The Zika Virus Transmission Model

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.

Age Structural Model of Zika Virus

“…The number of exposed mosquito population is increased by infection from juvenile and adult human population whereas their reduction through incubation and natural death. The total number of human populations is the sum of equations (1)- (8).…”

“…The Ministry of Public Health Thailand reported 84 countries of infection with zika virus are shown in Fig.1 [5], [6].On 12 May 2017, Thailand confirmed 8 new cases of zika virus [7]. In 2017, Lamwong and Pongsumpun [8] studied the transmission cycle between two population groups: human and mosquito. Using standard dynamical modeling method, the threshold parameter is found to separate the different behaviors of two steady states.…”