Probabilistic Model for the Lotka-Volterra System with Cross-Diffusion
- Авторы: Belopolskaya Y.1
-
Учреждения:
- St.Petersburg State University for Architecture and Civil Engineering
- Выпуск: Том 214, № 4 (2016)
- Страницы: 425-442
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237420
- DOI: https://doi.org/10.1007/s10958-016-2787-0
- ID: 237420
Цитировать
Аннотация
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.
Ключевые слова
Об авторах
Ya. Belopolskaya
St.Petersburg State University for Architecture and Civil Engineering
Автор, ответственный за переписку.
Email: yana@yb1569.spb.edu
Россия, St.Petersburg