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Mathematical Biosciences and Engineering

2024, Volume 21, Issue 1: 186-213. doi: 10.3934/mbe.2024009
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Dynamics of a stochastic hybrid delay food chain model with jumps in an impulsive polluted environment

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

  • Academic Editor: Xiaodi Li
  • Received: 24 June 2023 Revised: 07 September 2023 Accepted: 13 September 2023 Published: 11 December 2023

  • In this paper, a stochastic hybrid delay food chain model with jumps in an impulsive polluted environment is investigated. We obtain the sufficient and necessary conditions for persistence in mean and extinction of each species. The results show that the stochastic dynamics of the system are closely correlated with both time delays and environmental noises. Some numerical examples are introduced to illustrate the main results.

    Citation: Zeyan Yue, Sheng Wang. Dynamics of a stochastic hybrid delay food chain model with jumps in an impulsive polluted environment[J]. Mathematical Biosciences and Engineering, 2024, 21(1): 186-213. doi: 10.3934/mbe.2024009

    Related Papers:

  • In this paper, a stochastic hybrid delay food chain model with jumps in an impulsive polluted environment is investigated. We obtain the sufficient and necessary conditions for persistence in mean and extinction of each species. The results show that the stochastic dynamics of the system are closely correlated with both time delays and environmental noises. Some numerical examples are introduced to illustrate the main results.


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