Abstract
In this study a nonlinear deterministic mathematical model was developed on the dynamics of HIV-1 in sub-Saharan Africa with the final goal of implementing an optimal control using two control parameters of treatment and culling. This could minimize the number of infected humans and chimpanzees. Validity of the model was investigated through Invariant region and the model was found to be epidemiologically meaningful. Basic reproduction number which determines the stability of the disease is obtained using next generation operator. Disease free equilibrium was found to be locally asymptotically stable whenever basic reproduction number is greater than one and unstable otherwise. Numerical simulation results reveal that, the two control strategies optimally help in curtailing the spread of the virus.
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Mamuda, M., Sule, A., Lawal, J., Zurmi, U.N., Kanoma, S.A., Aliyu, G. (2017). A Model of HIV-1 Dynamics in Sub-Saharan Africa: An Optimal Control Approach. In: Ahmad, AR., Kor, L., Ahmad, I., Idrus, Z. (eds) Proceedings of the International Conference on Computing, Mathematics and Statistics (iCMS 2015). Springer, Singapore. https://doi.org/10.1007/978-981-10-2772-7_20
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DOI: https://doi.org/10.1007/978-981-10-2772-7_20
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