Journal of Mathematical Sciences

, Volume 214, Issue 4, pp 425–442 | Cite as

Probabilistic Model for the Lotka-Volterra System with Cross-Diffusion

  • Ya. I. Belopolskaya

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.


Cauchy Problem Stochastic System Parabolic System Distributional Sense Evolution Family 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.St.Petersburg State University for Architecture and Civil EngineeringSt.PetersburgRussia

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