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Survivability analysis for a three-dimensional predator–prey model with Markov switching.

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Title: Survivability analysis for a three-dimensional predator–prey model with Markov switching.
Authors: Zou, Xiaoling1 (AUTHOR) zouxiaoling1025@126.com, Lin, Cong1 (AUTHOR), Qian, Yan1 (AUTHOR), Lv, JingLiang1 (AUTHOR)
Source: Mathematics & Computers in Simulation. Feb2026, Vol. 240, p270-283. 14p.
Subjects: Survival analysis (Biometry), Markov processes, Stochastic models, Predation, Computer simulation, Stationary processes
Abstract: Predator–prey model is a classic biological model used to study the relationship between species survival. In this study, we investigate a stochastic single predator–dual prey model with Beddington–DeAngelis functional response and Markov switching. The main contribution of this paper is that we give the integrity analysis of all possible living states, and also give the corresponding numerical simulations by python software. Survival conditions in this paper are obtained based on integrations about the stationary distributions of some auxiliary equations. One point of interest is the verification of survival conditions in numerical simulations. First, the integration with respect to stationary measure is calculated for each state, and then the averaged value is obtained by using the stationary distribution of the Markov chain. [ABSTRACT FROM AUTHOR]
Copyright of Mathematics & Computers in Simulation is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 188750579
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PubTypeId: serialPeriodical
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  Data: Survivability analysis for a three-dimensional predator–prey model with Markov switching.
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  Data: <searchLink fieldCode="AR" term="%22Zou%2C+Xiaoling%22">Zou, Xiaoling</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> zouxiaoling1025@126.com</i><br /><searchLink fieldCode="AR" term="%22Lin%2C+Cong%22">Lin, Cong</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Qian%2C+Yan%22">Qian, Yan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Lv%2C+JingLiang%22">Lv, JingLiang</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Mathematics+%26+Computers+in+Simulation%22">Mathematics & Computers in Simulation</searchLink>. Feb2026, Vol. 240, p270-283. 14p.
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  Data: <searchLink fieldCode="DE" term="%22Survival+analysis+%28Biometry%29%22">Survival analysis (Biometry)</searchLink><br /><searchLink fieldCode="DE" term="%22Markov+processes%22">Markov processes</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+models%22">Stochastic models</searchLink><br /><searchLink fieldCode="DE" term="%22Predation%22">Predation</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Stationary+processes%22">Stationary processes</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: Predator–prey model is a classic biological model used to study the relationship between species survival. In this study, we investigate a stochastic single predator–dual prey model with Beddington–DeAngelis functional response and Markov switching. The main contribution of this paper is that we give the integrity analysis of all possible living states, and also give the corresponding numerical simulations by python software. Survival conditions in this paper are obtained based on integrations about the stationary distributions of some auxiliary equations. One point of interest is the verification of survival conditions in numerical simulations. First, the integration with respect to stationary measure is calculated for each state, and then the averaged value is obtained by using the stationary distribution of the Markov chain. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Mathematics & Computers in Simulation is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.matcom.2025.06.002
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 14
        StartPage: 270
    Subjects:
      – SubjectFull: Survival analysis (Biometry)
        Type: general
      – SubjectFull: Markov processes
        Type: general
      – SubjectFull: Stochastic models
        Type: general
      – SubjectFull: Predation
        Type: general
      – SubjectFull: Computer simulation
        Type: general
      – SubjectFull: Stationary processes
        Type: general
    Titles:
      – TitleFull: Survivability analysis for a three-dimensional predator–prey model with Markov switching.
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            NameFull: Zou, Xiaoling
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            NameFull: Lin, Cong
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            NameFull: Qian, Yan
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            NameFull: Lv, JingLiang
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          Dates:
            – D: 01
              M: 02
              Text: Feb2026
              Type: published
              Y: 2026
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              Value: 240
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            – TitleFull: Mathematics & Computers in Simulation
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