Modeling the Consequence of Multi Intervention Campaigns for the Spread of Malaria
Journal Title: International Journal of Trend in Scientific Research and Development - Year 2020, Vol 4, Issue 5
Abstract
This paper proposes and analyses a basic deterministic mathematical model to investigate Simulation for controlling malaria Diseases Transmission dynamics. The model has nine non linear differential equations which describe the control of malaria with two state variables for mosquitoes populations and five state variables for humans population and to introduce the new SPITR model for the transmission dynamics of malaria with four time dependent control measures in Ethiopia Insecticide treated bed nets ITNS , Treatments, Indoor Residual Spray IRs and Intermittent preventive treatment of malaria in pregnancy IPTP . The models are analyzed qualitatively to determine criteria for control of a malaria transmission dynamics, and are used to calculate the basic reproductionR 0. The equilibria of malaria models are determined. In addition to having a disease free equilibrium, which is globally asymptotically stable when the R 0 1, the basic malaria model manifest ones possession of a quality of the phenomenon of backward bifurcation where a stable disease free equilibrium co exists at the same time with a stable endemic equilibrium for a certain range of associated reproduction number less than one. The results also designing the effects of some model parameters, the infection rate and biting rate. The numerical analysis and numerical simulation results of the model suggested that the most effective strategies for controlling or eradicating the spread of malaria were suggest using insecticide treated bed nets, indoor residual spraying, prompt effective diagnosis and treatment of infected individuals with vaccination is more effective for children. Fekadu Tadege Kobe | Tigabu Abera Nune | Nuriye Hakima Kadiso "Modeling the Consequence of Multi-Intervention Campaigns for the Spread of Malaria" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-5 , August 2020, URL: https://www.ijtsrd.com/papers/ijtsrd33048.pdf Paper Url :https://www.ijtsrd.com/mathemetics/applied-mathamatics/33048/modeling-the-consequence-of-multiintervention-campaigns-for-the-spread-of-malaria/fekadu-tadege-kobe
Authors and Affiliations
Fekadu Tadege Kobe | Tigabu Abera Nune | Nuriye Hakima Kadiso
Keywords
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