Mathematical Biosciences and Engineering, 2012, 9(4): 915-935. doi: 10.3934/mbe.2012.9.915.

Primary: 92D30; Secondary: 34D20; 60H10.

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Basic stochastic models for viral infection within a host

1. Texas Tech University, Department of Mathematics and Statistics, Lubbock, Texas 79409-1042
2. Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409-1042

Stochastic differential equation (SDE) models are formulated for intra-host virus-cell dynamics during the early stages of viral infection, prior to activation of the immune system. The SDE models incorporate more realism into the mechanisms for viral entry and release than ordinary differential equation (ODE) models and show distinct differences from the ODE models. The variability in the SDE models depends on the concentration, with much greater variability for small concentrations than large concentrations. In addition, the SDE models show significant variability in the timing of the viral peak. The viral peak is earlier for viruses that are released from infected cells via bursting rather than via budding from the cell membrane.
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Keywords Target cells; virus; stochastic differential equations.

Citation: Sukhitha W. Vidurupola, Linda J. S. Allen. Basic stochastic models for viral infection within a host. Mathematical Biosciences and Engineering, 2012, 9(4): 915-935. doi: 10.3934/mbe.2012.9.915


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