2018
DOI: 10.31142/ijtsrd18475
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Simulation of a Mathematical Model of Malaria Transmission Dynamics in the Presence of Mosquito Net, Fumigation And Treatment

Abstract: 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 … Show more

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“…As mentioned before, one of the leading mitigation measures over time has been the use of ITNs, which has had a significant impact in the reduction of malaria cases, in combination with other mitigation strategies [ 1 , 7 , 12 , 14 , 41 ]. This result has been supported and analyzed by mathematical models [ 35 , 42 , 43 , 44 , 45 , 46 ].…”
Section: Introductionmentioning
confidence: 57%
“…As mentioned before, one of the leading mitigation measures over time has been the use of ITNs, which has had a significant impact in the reduction of malaria cases, in combination with other mitigation strategies [ 1 , 7 , 12 , 14 , 41 ]. This result has been supported and analyzed by mathematical models [ 35 , 42 , 43 , 44 , 45 , 46 ].…”
Section: Introductionmentioning
confidence: 57%