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Journal of Applied Sciences and Environmental Management
World Bank assisted National Agricultural Research Project (NARP) - University of Port Harcourt
ISSN: 1119-8362
Vol. 21, No. 4, 2017, pp. 615-623
Bioline Code: ja17066
Full paper language: English
Document type: Research Article
Document available free of charge

Journal of Applied Sciences and Environmental Management, Vol. 21, No. 4, 2017, pp. 615-623

 en A Mathematical Model for the Dynamics of Zika Virus via Homotopy Perturbation Method
ADAMU, G; BAWA, M; JIYA, M & CHADO, UD

Abstract

Zika virus is a member of the Flavivirus check for this species in other resources 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.

Keywords
Homotopy Perturbation method; Zika virus; Modelling; Numerical Simulations

 
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