Email this article Probabilistic Model for the Lotka-Volterra System with Cross-Diffusion
- Authors: Belopolskaya Y.I.1
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Affiliations:
- St.Petersburg State University for Architecture and Civil Engineering
- Issue: Vol 214, No 4 (2016)
- Pages: 425-442
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/237420
- DOI: https://doi.org/10.1007/s10958-016-2787-0
- ID: 237420
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Abstract
Two approaches that allow to construct a probabilistic representation of a generalized solution of the Cauchy problem for a system of quasilinear parabolic equations are proposed. The system under consideration describes a population dynamics model for a prey-predator population. The stochastic problem associated with this parabolic system is presented in two forms, which give a way to derive the required probabilistic representation. Bibliography: 16 titles.
About the authors
Ya. I. Belopolskaya
St.Petersburg State University for Architecture and Civil Engineering
Author for correspondence.
Email: yana@yb1569.spb.edu
Russian Federation, St.Petersburg
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