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Simulation of a Mathematical Model of Malaria Transmission Dynamics in the Presence of Mosquito Net, Fumigation And Treatment

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Simulation of a Mathematical Model of Malaria Transmission Dynamics in the Presence of Mosquito Net, Fumigation And Treatment


Titus Ifeanyi Chinebu | Edmund Onwubiko Ezennorom | John U Okwor


https://doi.org/10.31142/ijtsrd18475


Titus Ifeanyi Chinebu | Edmund Onwubiko Ezennorom | John U Okwor "Simulation of a Mathematical Model of Malaria Transmission Dynamics in the Presence of Mosquito Net, Fumigation And Treatment" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-2 | Issue-6, October 2018, pp.339-360, URL: https://www.ijtsrd.com/papers/ijtsrd18475.pdf

We proposed and solved a combined control malaria system of fifteen ordinary differential equations modeling the transmission dynamics of malaria between humans and mosquitoes. Since our aim is to minimize the number of exposed and infectious human, we discussed the disease free equilibrium and estimated the basic reproduction number using the next generation matrix method. The disease free equilibrium was asymptotically stable when the reproduction number is less than one and unstable when it is greater than one. Numerical results are provided using matlab software to confirm the analyzed results. Our findings were that malaria may be controlled using the combined control method, the insecticide treated bed nets, fumigation of the surroundings and active malaria drug as this will reduce the contact rate between human and mosquito through reduction in mosquito population and malaria transmission.

Mathematical Model, Next Generation Matrix, Sensitivity Analysis, Malaria, Disease Free Equilibrium, Basic Reproduction Number.


IJTSRD18475
Volume-2 | Issue-6, October 2018
339-360
IJTSRD | www.ijtsrd.com | E-ISSN 2456-6470
Copyright © 2019 by author(s) and International Journal of Trend in Scientific Research and Development Journal. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0) (http://creativecommons.org/licenses/by/4.0)

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