Journal article

On the extinction probability in models of within-host infection: the role of latency and immunity

Ada WC Yan, Pengxing Cao, James M McCaw

JOURNAL OF MATHEMATICAL BIOLOGY | SPRINGER HEIDELBERG | Published : 2016

Abstract

Not every exposure to virus establishes infection in the host; instead, the small amount of initial virus could become extinct due to stochastic events. Different diseases and routes of transmission have a different average number of exposures required to establish an infection. Furthermore, the host immune response and antiviral treatment affect not only the time course of the viral load provided infection occurs, but can prevent infection altogether by increasing the extinction probability. We show that the extinction probability when there is a time-dependent immune response depends on the chosen form of the model-specifically, on the presence or absence of a delay between infection of a ..

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Grants

Awarded by National Health and Medical Research Council


Awarded by Australian Research Council


Funding Acknowledgements

The authors would like to thank Peter Taylor and Sophie Hautphenne for valuable discussions. Ada W. C. Yan is supported by an Australian Postgraduate Award. Pengxing Cao is supported by a National Health and Medical Research Council funded Centre for Research Excellence in Infectious Diseases Modelling to Inform Public Health Policy (1078068). James M. McCaw is supported by an Australian Research Council Future Fellowship (110100250).