We provide a global analysis of systems of within-host parasitic infections. The systems studied have parallel classes of different length of latently infected target cells. These systems can also be thought as systems arising from within-host parasitic systems with distributed continuous delays. We compute the basic reproduction ratio R0 for the systems under consideration. If R0< or =1 the parasite is cleared, if R0>1 and if a sufficient condition is satisfied we conclude to the global asymptotic stability (GAS) of the endemic equilibrium. For some generic class of models this condition reduces to R0>1. These results make possible to revisit some parasitic models including intracellular delays and to study their global stability.
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http://dx.doi.org/10.1016/j.mbs.2007.01.008 | DOI Listing |
J Math Biol
December 2024
School of Mathematics and Statistics, The University of Melbourne, Parkville, Australia.
The epidemiological behavior of Plasmodium vivax malaria occurs across spatial scales including within-host, population, and metapopulation levels. On the within-host scale, P. vivax sporozoites inoculated in a host may form latent hypnozoites, the activation of which drives secondary infections and accounts for a large proportion of P.
View Article and Find Full Text PDFISME J
January 2024
Aquatic Ecology and Evolution, Limnological Institute, University of Konstanz, Universitätsstraße 10, Konstanz/Egg 78464, Germany.
Giant viruses can control their eukaryotic host populations, shaping the ecology and evolution of aquatic microbial communities. Understanding the impact of the viruses' own parasites, the virophages, on the control of microbial communities remains a challenge. Most virophages have two modes of infection.
View Article and Find Full Text PDFProc Natl Acad Sci U S A
December 2024
Centre for Tropical Medicine and Global Health, Nuffield Department of Medicine, University of Oxford, Oxford OX3 7LF, United Kingdom.
parasites can lie dormant in the liver as hypnozoites, activating weeks to months after sporozoite inoculation to cause relapsing malarial illness. It is not known what biological processes govern hypnozoite activation. We use longitudinal data from the most detailed cohort study ever conducted in an area where both and were endemic to fit a simple within-host mathematical model of hypnozoite activation.
View Article and Find Full Text PDFPLoS Comput Biol
December 2024
Institute of Integrative Biology, ETH Zürich, Zurich, Switzerland.
Immune responses are induced by parasite exposure and can in turn reduce parasite burden. Despite such apparently simple rules of engagement, key drivers of within-host dynamics, including dose-dependence of defense and infection duration, have proven difficult to predict. Here, we model how varied inoculating doses interact with multi-tiered host defenses at a site of inoculation, by confronting barrier, innate, and adaptive tiers with replicating and non-replicating parasites across multiple orders of magnitude of dose.
View Article and Find Full Text PDFACS Infect Dis
December 2024
Computational and Functional Genomics Group, Centre for DNA Fingerprinting and Diagnostics, Hyderabad, Telangana 500039, India.
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