Stochastic sensitivity analysis and feedback control of noise-induced transitions in a predator-prey model with anti-predator behavior
In this study, we investigate a stochastic predator-prey model with anti-predator behavior. We first analyze the noise-induced transition from a coexistence state to the prey-only equilibrium by using the stochastic sensitive function technique. The critical noise intensity for the occurrence of sta...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2023197?viewType=HTML |
| _version_ | 1797938809238716416 |
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| author | Mengya Huang Anji Yang Sanling Yuan Tonghua Zhang |
| author_facet | Mengya Huang Anji Yang Sanling Yuan Tonghua Zhang |
| author_sort | Mengya Huang |
| collection | DOAJ |
| description | In this study, we investigate a stochastic predator-prey model with anti-predator behavior. We first analyze the noise-induced transition from a coexistence state to the prey-only equilibrium by using the stochastic sensitive function technique. The critical noise intensity for the occurrence of state switching is estimated by constructing confidence ellipses and confidence bands, respectively, for the coexistence the equilibrium and limit cycle. We then study how to suppress the noise-induced transition by using two different feedback control methods to stabilize the biomass at the attraction region of the coexistence equilibrium and the coexistence limit cycle, respectively. Our research indicates that compared with the prey population, the predators appear more vulnerable and prone to extinction in the presence of environmental noise, but it can be prevented by taking some appropriate feedback control strategies. |
| first_indexed | 2024-04-10T19:05:32Z |
| format | Article |
| id | doaj.art-602d4e4ec86045c5aab1495a561104c3 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-04-10T19:05:32Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-602d4e4ec86045c5aab1495a561104c32023-01-31T02:41:11ZengAIMS PressMathematical Biosciences and Engineering1551-00182023-01-012024219424210.3934/mbe.2023197Stochastic sensitivity analysis and feedback control of noise-induced transitions in a predator-prey model with anti-predator behaviorMengya Huang0Anji Yang 1Sanling Yuan 2Tonghua Zhang31. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China1. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China1. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China2. Department of Mathematics, Swinburne University of Technology, Hawthorn, VIC 3122, AustraliaIn this study, we investigate a stochastic predator-prey model with anti-predator behavior. We first analyze the noise-induced transition from a coexistence state to the prey-only equilibrium by using the stochastic sensitive function technique. The critical noise intensity for the occurrence of state switching is estimated by constructing confidence ellipses and confidence bands, respectively, for the coexistence the equilibrium and limit cycle. We then study how to suppress the noise-induced transition by using two different feedback control methods to stabilize the biomass at the attraction region of the coexistence equilibrium and the coexistence limit cycle, respectively. Our research indicates that compared with the prey population, the predators appear more vulnerable and prone to extinction in the presence of environmental noise, but it can be prevented by taking some appropriate feedback control strategies.https://www.aimspress.com/article/doi/10.3934/mbe.2023197?viewType=HTMLpredator-prey modelanti-predator behaviornoise-induced state switchingcritical noise intensityfeedback control |
| spellingShingle | Mengya Huang Anji Yang Sanling Yuan Tonghua Zhang Stochastic sensitivity analysis and feedback control of noise-induced transitions in a predator-prey model with anti-predator behavior Mathematical Biosciences and Engineering predator-prey model anti-predator behavior noise-induced state switching critical noise intensity feedback control |
| title | Stochastic sensitivity analysis and feedback control of noise-induced transitions in a predator-prey model with anti-predator behavior |
| title_full | Stochastic sensitivity analysis and feedback control of noise-induced transitions in a predator-prey model with anti-predator behavior |
| title_fullStr | Stochastic sensitivity analysis and feedback control of noise-induced transitions in a predator-prey model with anti-predator behavior |
| title_full_unstemmed | Stochastic sensitivity analysis and feedback control of noise-induced transitions in a predator-prey model with anti-predator behavior |
| title_short | Stochastic sensitivity analysis and feedback control of noise-induced transitions in a predator-prey model with anti-predator behavior |
| title_sort | stochastic sensitivity analysis and feedback control of noise induced transitions in a predator prey model with anti predator behavior |
| topic | predator-prey model anti-predator behavior noise-induced state switching critical noise intensity feedback control |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2023197?viewType=HTML |
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