Asymptotic and transient analysis of stochastic core ecosystem models.

Gard, Thomas C.

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Displaying similar documents to “Asymptotic and transient analysis of stochastic core ecosystem models.”

Transient effects of stochastic multi-population models.

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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 ...

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Kermack-McKendrick epidemic model revisited

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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 $N_{t}$ 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 $N_{t}$ . Theorems on a unique strong and weak existence of the solution to (M2) are proved...