Academic Journal
A non-autonomous stochastic predator-prey model
| العنوان: | A non-autonomous stochastic predator-prey model |
|---|---|
| المؤلفون: | Aniello Buonocore, Luigia Caputo, Enrica Pirozzi, Amelia G. Nobile |
| المصدر: | Mathematical Biosciences and Engineering, Vol 11, Iss 2, Pp 167-188 (2013) |
| بيانات النشر: | AIMS Press, 2013. |
| سنة النشر: | 2013 |
| المجموعة: | LCC:Biotechnology LCC:Mathematics |
| مصطلحات موضوعية: | predator-prey system, probability densities, asymptotic behavior., stochastic model, Biotechnology, TP248.13-248.65, Mathematics, QA1-939 |
| الوصف: | 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. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1551-0018 |
| Relation: | https://doaj.org/toc/1551-0018 |
| DOI: | 10.3934/mbe.2014.11.167 |
| URL الوصول: | https://doaj.org/article/8073294a6124430c87efd5c82949f9f0 |
| رقم الانضمام: | edsdoj.8073294a6124430c87efd5c82949f9f0 |
| قاعدة البيانات: | Directory of Open Access Journals |
| تدمد: | 15510018 |
|---|---|
| DOI: | 10.3934/mbe.2014.11.167 |