Paradox of Enrichment in a Stochastic Predator-Prey Model
Author
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-16
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We propose a stochastic predator-prey model to study a novel idea that involves investigating random noises effects on the enrichment paradox phenomenon.
Existence and stochastic boundedness of a unique positive solution with positive initial conditions are proved.
The global asymptotic stability is studied to determine the occurrence of the enrichment paradox phenomenon.
We show theoretically that intensive noises play an important role in the occurrence of the phenomenon, where increasing intensive noises lead to occurrence of the paradox of enrichment.
We perform numerical simulations to verify and demonstrate the theoretical results.
The new results in this study may contribute to increasing attention to study the random noise effects on some ecological and biological phenomena as the paradox of enrichment.
American Psychological Association (APA)
Alebraheem, Jawdat. 2020. Paradox of Enrichment in a Stochastic Predator-Prey Model. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1188248
Modern Language Association (MLA)
Alebraheem, Jawdat. Paradox of Enrichment in a Stochastic Predator-Prey Model. Journal of Mathematics No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1188248
American Medical Association (AMA)
Alebraheem, Jawdat. Paradox of Enrichment in a Stochastic Predator-Prey Model. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1188248
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188248