A Mathematical Model for the Dynamics of Zika Virus via Homotopy Perturbation Method
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 formula...
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| Published in: | Journal of Applied Sciences and Environmental Management Vol. 21; no. 4 |
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| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Joint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP)
23-10-2017
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| Subjects: | |
| Online Access: | Get full text |
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| Summary: | 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. Keywords: Homotopy Perturbation method, Zika virus, Modelling, Numerical Simulations |
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| ISSN: | 2659-1502 2659-1499 |
| DOI: | 10.4314/jasem.v21i4.1 |