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Journal of Applied Mathematics and Computing

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04.11.2022 | Original Research

Partial permanence and stationary distribution of a stochastic competitive model with feedback controls and distributed delays

verfasst von: Xiaojie He, Zhijun Liu

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 2/2023

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Abstract

A two-species stochastic competitive model with distributed delays and feedback controls is constructed to reveal the effect of both environmental noises and feedback controls on the long-time behaviors of two species, and the saturation effect is also incorporated by considering the boundedness of inter-specific competition. Through theoretical analysis, sufficient conditions for partial permanence are obtained. Moreover, the existence and uniqueness of stationary distribution to the positive solution is acquired. Finally, plentiful numerical experiments are performed as the authentication to support the theoretical results, and biological interpretations on the main results are also given.

Vorheriger Artikel Initial and boundary value problem of fuzzy fractional-order nonlinear Volterra integro-differential equations

Nächster Artikel Mathematical models and dynamic behaviors of cancer treatment by continuous and pulsed radiotherapy

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Titel: Partial permanence and stationary distribution of a stochastic competitive model with feedback controls and distributed delays
verfasst von: Xiaojie He
Zhijun Liu
Publikationsdatum: 04.11.2022
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 2/2023
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-022-01815-x

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