Stochastic persistence and global attractivity of a two-predator one-prey system with S-type distributed time delays

Zeyan Yue; Lijuan Dong; Sheng Wang; Zeyan Yue; Lijuan Dong; Sheng Wang

doi:10.3934/mmc.2022026

Mathematical Modelling and Control

2022, Volume 2, Issue 4: 272-281. doi: 10.3934/mmc.2022026

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Research article

Stochastic persistence and global attractivity of a two-predator one-prey system with S-type distributed time delays

School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, Henan 454003, China

Received: 14 October 2022 Revised: 25 November 2022 Accepted: 07 December 2022 Published: 27 December 2022

In this paper, well-posedness and asymptotic behaviors of a stochastic two-predator one-prey system with S-type distributed time delays are studied by using stochastic analytical techniques. First, the existence and uniqueness of global positive solution with positive initial condition is proved. Second, sufficient conditions for persistence in mean and extinction of each species are obtained. Then, sufficient conditions for global attractivity are established. Finally, some numerical simulations are provided to support the analytical results.
- persistence in mean,
- extinction,
- predator-prey system,
- time delay,
- global attractivity
Citation: Zeyan Yue, Lijuan Dong, Sheng Wang. Stochastic persistence and global attractivity of a two-predator one-prey system with S-type distributed time delays[J]. Mathematical Modelling and Control, 2022, 2(4): 272-281. doi: 10.3934/mmc.2022026

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Abstract

In this paper, well-posedness and asymptotic behaviors of a stochastic two-predator one-prey system with S-type distributed time delays are studied by using stochastic analytical techniques. First, the existence and uniqueness of global positive solution with positive initial condition is proved. Second, sufficient conditions for persistence in mean and extinction of each species are obtained. Then, sufficient conditions for global attractivity are established. Finally, some numerical simulations are provided to support the analytical results.

References

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