Mathematical Model Of Malaria Transmission: Dynamics And Optimal Control Of Plasmodium Knowlesi

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dc.contributor.authorABDULLAHI, MOHAMMED BABA
dc.date.accessioned2016-06-09T06:55:52Z
dc.date.available2016-06-09T06:55:52Z
dc.date.issued2015-03
dc.description.abstractPlasmodium Knowlesi is one of the species of intra-erythrocytic protozoa of the genus Plasmodium that infect both humans and macaques. This parasite is widespread in the South East Asia. Thus it is imperative to study this parasite and suggest control strategies using mathematical modeling approach. However, the research on mathematical models on Plasmodium knowlesi malaria dynamics is at an early stage. As such, the study area and literature on mathematical modeling of the disease is rather scanty. Therefore, this study aimed at obtaining model equations using system of ordinary differential equations for better understanding of the transmission, spread and control of the disease. In addition, the models are used to evaluate intervention strategies for disease control. The basic model for the disease is built and its stability and bifurcation behavior analyzed. The basic model is extended to incorporate control strategies, effects of immigrations and drug resistance. It is also extended by adding a prey-predator dynamics of mosquito larva stage and the predatory mosquitoes as a control measure in the presence of pesticides resistance mosquitoes. In addition, the within-host dynamics of the disease is also considered. Sensitivity analysis is carried out for all the models to recognize the parameters sensitive to the disease transmission and control strategies needed in such situations. Then, optimal control schemes to establish the necessary conditions for the optimality of the disease eradication or control are applied. Sensitivity analysis permits us to compare the efficacy of diverse control strategies. It was found that the most cost-effective strategy to eradicate the disease is the combination of mosquito xxi control and culling of the macaques. It was also found that the use of prophylaxis anti-malaria drug is more efficient than treatment.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/2080
dc.subjectMathematical Model Of Malaria Transmissionen_US
dc.subjectDynamics And Optimal Control Of Plasmodium Knowlesien_US
dc.titleMathematical Model Of Malaria Transmission: Dynamics And Optimal Control Of Plasmodium Knowlesien_US
dc.typeThesisen_US
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