A non-autonomous stochastic predator-prey model
The aim of this paper is to consider a non-autonomous predator-prey-like system, with a Gompertz growth law for the prey.By introducing random variations in both prey birth and predator death rates,a stochastic model for the predator-prey-like system in a random environment is proposed and invest...
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| Format: | Article |
| Language: | English |
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AIMS Press
2013-09-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.167 |
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| author | Aniello Buonocore Luigia Caputo Enrica Pirozzi Amelia G. Nobile |
| author_facet | Aniello Buonocore Luigia Caputo Enrica Pirozzi Amelia G. Nobile |
| author_sort | Aniello Buonocore |
| collection | DOAJ |
| description | The aim of this paper is to consider a non-autonomous predator-prey-like system, with a Gompertz growth law for the prey.By introducing random variations in both prey birth and predator death rates,a stochastic model for the predator-prey-like system in a random environment is proposed and investigated.The corresponding Fokker-Planck equation is solved to obtain the joint probability density for the prey and predator populations and the marginal probability densities.The asymptotic behavior of the predator-prey stochastic model is also analyzed. |
| format | Article |
| id | doaj-art-8073294a6124430c87efd5c82949f9f0 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2013-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-8073294a6124430c87efd5c82949f9f02025-01-24T02:28:02ZengAIMS PressMathematical Biosciences and Engineering1551-00182013-09-0111216718810.3934/mbe.2014.11.167A non-autonomous stochastic predator-prey modelAniello Buonocore0Luigia Caputo1Enrica Pirozzi2Amelia G. Nobile3Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università di Napoli Federico II, Via Cintia, 80126 NapoliDipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università di Napoli Federico II, Via Cintia, 80126 NapoliDipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università di Napoli Federico II, Via Cintia, 80126 NapoliDipartimento di Studi e Ricerche Aziendali, (Management & Information Technology), Università di Salerno, Via Ponte don Melillo, 84084 Fisciano (SA)The aim of this paper is to consider a non-autonomous predator-prey-like system, with a Gompertz growth law for the prey.By introducing random variations in both prey birth and predator death rates,a stochastic model for the predator-prey-like system in a random environment is proposed and investigated.The corresponding Fokker-Planck equation is solved to obtain the joint probability density for the prey and predator populations and the marginal probability densities.The asymptotic behavior of the predator-prey stochastic model is also analyzed.https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.167predator-prey systemprobability densitiesasymptotic behavior.stochastic model |
| spellingShingle | Aniello Buonocore Luigia Caputo Enrica Pirozzi Amelia G. Nobile A non-autonomous stochastic predator-prey model Mathematical Biosciences and Engineering predator-prey system probability densities asymptotic behavior. stochastic model |
| title | A non-autonomous stochastic predator-prey model |
| title_full | A non-autonomous stochastic predator-prey model |
| title_fullStr | A non-autonomous stochastic predator-prey model |
| title_full_unstemmed | A non-autonomous stochastic predator-prey model |
| title_short | A non-autonomous stochastic predator-prey model |
| title_sort | non autonomous stochastic predator prey model |
| topic | predator-prey system probability densities asymptotic behavior. stochastic model |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.167 |
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