Transient effects of stochastic multi-population models.
Gard, Thomas C. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Gard, Thomas C. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Fan, Dejun, Wang, Ke, Hong, Ling (2009)
Mathematical Problems in Engineering
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Ji, Chunyan, Jiang, Daqing, Liu, Hong, Yang, Qingshan (2010)
Mathematical Problems in Engineering
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Samanta, G.P. (2011)
International Journal of Stochastic Analysis
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Saha, Tapan, Bandyopadhyay, Malay (2004)
International Journal of Mathematics and Mathematical Sciences
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Baryarama, F., Mugisha, J.Y.T. (2007)
International Journal of Mathematics and Mathematical Sciences
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L. Sanz, J. A. Alonso (2010)
Mathematical Modelling of Natural Phenomena
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Approximate aggregation techniques consist of introducing certain approximations that allow one to reduce a complex system involving many coupled variables obtaining a simpler ʽʽaggregated systemʼʼ governed by a few variables. Moreover, they give results that allow one to extract information about the complex original system in terms of the behavior of the reduced one. Often, the feature that allows one to carry out such a reduction is the ...
Roberts, M.G. (2000)
Journal of Applied Mathematics and Decision Sciences
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Josef Štěpán, Daniel Hlubinka (2007)
Kybernetika
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This paper proposes a stochastic diffusion model for the spread of a susceptible-infective-removed Kermack–McKendric epidemic (M1) in a population which size is a martingale that solves the Engelbert–Schmidt stochastic differential equation (). The model is given by the stochastic differential equation (M2) or equivalently by the ordinary differential equation (M3) whose coefficients depend on the size . Theorems on a unique strong and weak existence of the solution to (M2) are proved...