Zika virus is a member of the
Flavivirus
genus of the
Flaviviridae family, which
includes other globally relevant human’s pathogens such as dengue virus, yellow fever virus,
West Nile virus and tick-borne encephalitis virus. In this paper, a deterministic mathematical
model of Zika virus was formulated using ordinary differential equations with two control
strategies: treatment for humans and insecticide spray for mosquitoes. Homotopy Perturbation
Method was used to obtain the approximate solution of the model. From the result obtained,
59% effective administration of insecticide spray proved effective which showed a great
reduction in the infected humans as well as infected vector population. Numerical results were
offered in the form of Graphs. This research work contributes to new field of knowledge
included to the dynamics of Zika virus in population’s dynamics with the application of
Homotopy Perturbation Method and can be further extended to study the pattern of Zika
associated diseases that pose a significant public health risk.