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2020 Abstracts

Modeling the Effects of Seasonality and its Impact on the Transmission Dynamics of Zika Virus

Esplin, Rylee: Chellamuthu, Vinodh (Dixie State University)

Faculty Advisor: Chellamuthu, Vinodh (Dixie State University, Mathematics)

The Zika Virus (ZIKV) is a mosquito-borne disease that inhabits Aedes Aegypti mosquitoes. This disease can be passed to humans three different ways: first, through the bite of an infected mosquito; second, sexual transmission between humans who are already infected with the disease; and finally, from humans to their unborn children through vertical transmission. Several studies have shown the dynamics of ZIKV and its dependency on temperature. We developed a temperature-dependent mathematical model using systems of first order differential equations to analyze the spread of the ZIKV in an effort to control the mosquito population. Our model explicitly incorporates the temperature dependency of the vital rates of the mosquito population. Furthermore, our model will also take into account the local environmental data to show the effects of seasonality within the transmission of ZIKV. Our simulation results show the importance of temperature and its impact on the mosquito-human interaction.