Abstract
In the last 20 years, a considerable amount of research has been done in order to mathematically study the dynamics of viruses and immunity, and HIV in particular. A mathematical model of within-host dynamics of HIV, which incorporates random mutations modelled by diffusion in a continuous one dimensional strain space and postulates that immune response is phenotype specific, shows that for a fast evolving virus the phenotype specific immune response is not able to clear HIV from its host. In this contribution, we develop the model further by including a cross-immunity, rather than specific immunity, modelled by a weight function which represents the broadness of cross-immunity. Numerical simulations show that if the cross-immunity is sufficiently broad, cell mediated immune response is able to clear a virus from its host.
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References
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van Laarhoven, N., Korobeinikov, A. (2015). Within-Host Viral Evolution Model with Cross-Immunity. In: Corbera, M., Cors, J., Llibre, J., Korobeinikov, A. (eds) Extended Abstracts Spring 2014. Trends in Mathematics(), vol 4. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-22129-8_21
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DOI: https://doi.org/10.1007/978-3-319-22129-8_21
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-22128-1
Online ISBN: 978-3-319-22129-8
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