Hermane Mambili-Mamboundou

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In sub-Saharan Africa, the model of care for people who are living with HIV/AIDS has changed from hospital care to home-based care. In this paper, a mathematical model describing the dynamics of HIV transmission, hospitalization, and home-based care is constructed and analysed. The model reproduction number R(e) is determined and discussed. The equilibria(More)
Cancer treatment is an inexact science despite traditional cancer therapies. The traditional cancer treatments have high levels of toxicity and relatively low efficacy. Current research and clinical trials have indicated that virotherapy, a procedure which uses replication-competent viruses to kill cancer cells, has less toxicity and a high efficacy.(More)
The model of care of people living with HIV/AIDS (PLWHA) has shifted from hospital care to community home-based care (CHBC) because of shortage of space in hospitals and lack of resources. We evaluate the costs and benefits of home-based care and other HIV/AIDS intervention strategies in Zimbabwe, using an interdisciplinary approach which weaves together(More)
There is clinical evidence that some people have lived with a benign tumour for their entire life time. This is explained by cancer dormancy which is attributed to the interaction of tumour infiltrating cytotoxic lymphocytes (TICLs) with tumour cells. We present two mathematical models to study the mechanism of interaction of TICLs with tumour cells, with(More)
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