Abstract—Zika virus is mosquito-borne flavivirus. It can be transmitted between human by bitting of Aedes mosquitoes. It can also transmit chikungunya, yellow fever and dengue disease. Zika virus can spread through mosquito to human, human to mosquito and human to human. In this paper, we account the age structure of zika virus patiens. We divide into two groups: human and mosquito. Age structure of human population is separated two groups: juvenile and adult human. Standard dynamical modeling method is used for analyzing the behaviors of solutions. The stability conditions for the disease free and endemic equilibrium states are considered by Routh-Hurwitz criteria. We simulate our model by using numerical method. The numerical simulations are showed to confirm the analytical results.
Index Terms—Basic reproductive number, disease free steady state, endemic steady state, stability, Standard dynamical modeling method, Zika.
J. Lamwong is with Department of General Basis, Thatphanom College, Nakhon Phanom University, Phanomphanarak road, That Phanom, Nakhon Phanom 48110, Thailand (e-mail: nuwan_sweet99@yahoo.com, Jiraporn99@npu.ac.th).
P. Pongsumpun is with Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Chalongkrung road, Ladkrabang, Bangkok 10520, Thailand (e-mail: kppuntan@kmitl.ac.th).
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Cite: J. Lamwong and P. Pongsumpun, "Age Structural Model of Zika Virus," International Journal of Modeling and Optimization vol. 8, no. 1, pp. 17-23, 2018.
