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Volume 6, Issue 4, August 2017, Page: 124-136
Cervical Cancer and HIV Diseases Co-dynamics with Optimal Control and Cost Effectiveness
Geomira George Sanga, Department of Mathematics, University of Dar es Salaam, Dar es Salaam, Tanzania
Oluwole Daniel Makinde, Faculty of Military Science, Stellenbosch University, Saldanha, South Africa
Estomih Shedrack Massawe, Department of Mathematics, University of Dar es Salaam, Dar es Salaam, Tanzania
Lucy Namkinga, Department of Molecular Biology and Biotechnology, University of Dar es Salaam, Dar es Salaam, Tanzania
Received: Jun. 22, 2017;       Accepted: Jul. 7, 2017;       Published: Aug. 4, 2017
DOI: 10.11648/j.pamj.20170604.14      View  2491      Downloads  195
The deterministic model for co-infection of cervical cancer and HIV (Human Immunodeficiency Virus) diseases is formulated and rigorously analyzed. The optimal control theory is employed to the model to study the level of effort is needed to control the transmission of co-infection of cervical cancer and HIV diseases using three controls; prevention, screening and treatment control strategies. Numerical solutions show a remarkable decrease of infected individuals with HPV (Human Papilloma Virus) infection, cervical cancer, cervical cancer and HIV, cervical cancer and AIDS (Acquire Immunodeficiency Syndrome), HIV infection and AIDS after applying the combination of the optimal prevention, screening and treatment control strategies. However, Incremental Cost-Effective Ratio (ICER) shows that the best control strategy of minimizing cervical cancer among HIV-infected individuals with low cost is to use the combination of prevention and treatment control strategies.
HPV Infection, HIV Infection, Cervical Cancer, Optimal Control, Cost-Effectiveness
To cite this article
Geomira George Sanga, Oluwole Daniel Makinde, Estomih Shedrack Massawe, Lucy Namkinga, Cervical Cancer and HIV Diseases Co-dynamics with Optimal Control and Cost Effectiveness, Pure and Applied Mathematics Journal. Vol. 6, No. 4, 2017, pp. 124-136. doi: 10.11648/j.pamj.20170604.14
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License ( which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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