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Start Over Descriptor "Itô’s formula" Topic extinction Topic global positive solution Publication Year Range This year
1 results on '"Itô’s formula"'

1. Analysis of a periodic stochastic three‐species Lotka‐Volterra model with distributed delay and dispersal.

Author

Wang, Hongwei and Dong, Lingzhen

Subjects
*STOCHASTIC analysis, *STOCHASTIC models
Abstract

In this paper, a periodic stochastic Lotka‐Volterra model with distributed delay and dispersal is investigated. First, by Itô's formula, we show that the solution with any positive initial value is global and positive. Then, we obtain the sufficient conditions guaranteeing the extinction of the system. Furthermore, we discuss the existence of the nontrivial periodic solution by Khasminskii theory. Finally, numerical examples are given to illustrate the results. [ABSTRACT FROM AUTHOR]

Published
2024
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