An Intra-Host Mathematical Model on Interaction Between HIV and Malaria |
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| Authors: | Dongmei Xiao William H. Bossert |
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| Affiliation: | (1) Weill-Bugando University College of Health Sciences, P.O. Box 1464, Mwanza, Tanzania;(2) Department of Zoology, Jomo Kenyatta University of Agriculture and Technology, P.O. Box 62000-00200, Nairobi, Kenya;(3) Mwanza Center, National Institute for Medical Research, P.O. Box 1462, Mwanza, Tanzania;(4) Pest Management Center, Sokoine University of Agriculture, P.O. Box 3010, Morogoro, Tanzania;(5) Division of Livestock and Human Disease vector control, Tropical Pesticides Research Institute, P.O. Box 3024, Arusha, Tanzania;(6) Anton Breinl Centre for Tropical Medicine and Public Health; School of Public Health, Tropical Medicine and Rehabilitation Sciences, James Cook University, Townsville, Australia;(7) Institute of Tropical Medicine and Infectious Diseases, Jomo Kenyatta University of Agriculture and Technology, P.O. Box 62000-00200, Nairobi, Kenya |
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| Abstract: | In this paper a mathematical model is proposed for the interaction of the immune system with HIV viruses and malaria parasites in an individual host. It consists of a system of three coupled ordinary differential equations, which represents the rate of change in the concentration of malaria parasites, HIV viruses and immunity effector within a host, respectively. The theoretical model gives insight into the biological balance between pathogen replication and the immune response to the pathogen: persistence versus elimination of the pathogen, which determines the outcome of infection. Dynamical analysis shows that the outcomes of the interactions between the immune system of the host with either malaria parasites or HIV viruses are dramatic such as malaria infection promoting proliferation of HIV virus, HIV infection increasing the risk from malaria and the immune system of the host failing to keep the diseases under control, etc. The results provide a new perspective for understanding of the complexity mechanisms of the co-infection (or dual infection) with malaria and HIV in a host. |
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