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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/5387

Title: A mathematical model for the control of malaria
Authors: Adiku, Daniel Kudjo
Issue Date: 10-Dec-2013
Abstract: A basic deterministic malaria model is developed with two latent periods in the non constant host-vector populations, and the model with intervention strategies is formulated by adding the protected and treated classes in order to assess the potential impact of protection and treatment strategies on the transmission dynamics of malaria. The model incorporated features that are effective to control the transmission of malaria disease in Ghana. Analysis of the model showed that there exists a domain where the model is epidemiologically and mathematically well-posed. The prominent parameter in the model, the basic reproduction number, , as a modified control intervention measure was computed. The model was then qualitatively analyzed for the existence and stability of their associated equilibria. It was proved under the condition that when the disease-free equilibrium is locally asymptotically stable, and when the endemic equilibrium , appeared. We established the effective reproduction number, , as an important tool for effective disease management. The threshold for effective reproduction number and the basic reproduction number in the absence of the disease was compared. If , the disease cannot persist in a country, hence is the useful indication of the effort required to eliminate an infection. It was also noted that which implied that increasing preventive and control measures has a great effect on reduction of . Numerical results indicate the effect of the two controls (protection and treatment) in lowering exposed and infected members of each of the populations. The results also highlight the effects of some model parameters, the infection rate and biting rate.
Description: A Thesis Submitted to the Department Of Mathematics In Partial Fulfilment of the Requirements for the Award Of Master of Science Degree in Industrial Mathematics, July-2013
URI: http://hdl.handle.net/123456789/5387
Appears in Collections:College of Science

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