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.
By 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,
Paper URL: http://www.ijtsrd.com/mathemetics/other/18475/simulation-of-a-mathematical-model-of-malaria-transmission-dynamics-in-the-presence-of-mosquito-net-fumigation-and-treatment/titus-ifeanyi-chinebu
Mathematical Model, Next Generation Matrix, Sensitivity Analysis, Malaria, Disease Free Equilibrium, Basic Reproduction Number.