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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. 22, No. 10, 2018, pp. 1615-1620
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Bioline Code: ja18271
Full paper language: English
Document type: Research Article
Document available free of charge
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Journal of Applied Sciences and Environmental Management, Vol. 22, No. 10, 2018, pp. 1615-1620
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Formulation of a Mathematical Model for Transmission and Control of Zika Virus Fever Dynamics
ADEYEMO, KA; AKINWANDE, NI; ABDULRAHMAN, S & KUTA, FA
Abstract
We formulated a mathematical model for the transmission and control of zika virus fever dynamics,
incorporating controls; and mosquito bite, sexual contact, vertical transmission blood transfusion as medium of
transmissions. Based on our previous findings that the model is mathematically well posed for analysis, the state variables
at the endemic state are expressed in terms of parameters and forces of infection, substitution and simplifying led to a
polynomial. Invoking Descartes sign rule of polynomial confirmed the existence of a unique endemic equilibrium point
of the model if and only if the effective reproduction number is greater than one (Re > 1).
Keywords
Zika virus fever; Control; Medium of transmission; Unique endemic equilibrium point
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© Copyright 2018 - Adeyemo et al.
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