On the General Stochastic Epidemic
J. Gani (1966-1967)
Publications mathématiques et informatique de Rennes
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J. Gani (1966-1967)
Publications mathématiques et informatique de Rennes
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M. Métivier, J. Pellaumail (1977)
Publications mathématiques et informatique de Rennes
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M. Métivier, J. Pellaumail (1976)
Publications mathématiques et informatique de Rennes
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H. L. Smith, R. T. Trevino (2009)
Mathematical Modelling of Natural Phenomena
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We construct a stochastic model of bacteriophage parasitism of a host bacteria that accounts for demographic stochasticity of host and parasite and allows for multiple bacteriophage adsorption to host. We analyze the associated deterministic model, identifying the basic reproductive number for phage proliferation, showing that host and phage persist when it exceeds unity, and establishing that the distribution of adsorbed phage on a host is binomial with slowly evolving mean. Not surprisingly,...
Fabio Bagarello (2006)
Banach Center Publications
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Sridharan, V., Kalyani, T.V. (2005)
APPS. Applied Sciences
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M. Aguiar, B.W. Kooi, J. Martins, N. Stollenwerk (2012)
Mathematical Modelling of Natural Phenomena
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In this paper we analyze the stochastic version of a minimalistic multi-strain model, which captures essential differences between primary and secondary infections in dengue fever epidemiology, and investigate the interplay between stochasticity, seasonality and import. The introduction of stochasticity is needed to explain the fluctuations observed in some of the available data sets, revealing a scenario where noise and complex deterministic...