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Journal of Applied Mathematics and Computing

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27.04.2021 | Original Research

Two delayed commensalism models with noise coupling and interval biological parameters

verfasst von: Qian Jiang, Zhijun Liu, Qinglong Wang, Ronghua Tan, Lianwen Wang

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 2/2022

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Abstract

In this contribution, two delayed commensalism models with noise coupling and interval biological parameters are constructed, in which the positive and negative intrinsic growth rates of commensal species are respectively considered. Two sets of sufficient conditions for the persistence and extinction of each species are obtained as well as the existence of a unique ergodic stationary distribution and three pathwise estimations of the solutions. Meticulous numerical simulations are performed to validate our theoretical analysis in detail. The effects of white noises, imprecise biological parameters and delay on the above long-time behaviors are also revealed.

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Titel: Two delayed commensalism models with noise coupling and interval biological parameters
verfasst von: Qian Jiang
Zhijun Liu
Qinglong Wang
Ronghua Tan
Lianwen Wang
Publikationsdatum: 27.04.2021
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 2/2022
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-021-01553-6

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