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Analysis of a periodic stochastic three‐species Lotka‐Volterra model with distributed delay and dispersal.
- Source :
-
Mathematical Methods in the Applied Sciences . 3/30/2024, Vol. 47 Issue 5, p3115-3132. 18p. - Publication Year :
- 2024
-
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]
- Subjects :
- *STOCHASTIC analysis
*STOCHASTIC models
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 47
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 176012223
- Full Text :
- https://doi.org/10.1002/mma.7338