Geodesic
A stochastic model for the Lotka–Volterra system with cross-diffusion
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 21, Tome 431 (2014), pp. 9-36 Cet article a éte moissonné depuis la source Math-Net.Ru

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We propose two approaches that allow to construct a probabilistic representation of a generalized solution of the Cauchy problem for a system of quasilinear parabolic equations. The system under consideration presents a population dynamics model for a prey-predator population. We construct two types of stochastic problem associated with this parabolic system that give the way to derive the required probabilistic representation. 
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     author = {Ya. I. Belopolskaya},
     title = {A stochastic model for the {Lotka{\textendash}Volterra} system with cross-diffusion},
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Ya. I. Belopolskaya. A stochastic model for the Lotka–Volterra system with cross-diffusion. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 21, Tome 431 (2014), pp. 9-36. http://geodesic.mathdoc.fr/item/ZNSL_2014_431_a1/

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