DOIONLINE 
DOIONLINE Publish In |
International Journal of Management and Applied Science (IJMAS)-IJMAS |
 Journal Home Volume Issue |
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Issue |
Volume-2,Issue-8 ( Aug, 2016 ) | |||||||||
Paper Title |
Effect of Correlated Noises on the Stationary Distribution of Population Size: A Model Based Study | |||||||||
Author Name |
Bapi Saha, Akshoy Patra | |||||||||
Affilition |
Mathematics Department, Govt. College of Engg. & Textile Technology, Berhampore, W. B. India | |||||||||
Pages |
62-66 | |||||||||
Abstract |
In this paper, we introduce two correlated noises in single species dynamic models. Here we consider both ߠ −logistic and the Allee effect model for the growth process of the species. The stationary distribution is obtained through the help of Fokker-Planck equation. The effect of the correlation coefficient, the strength of the correlated noises, the Allee threshold and the density regulation parameter on the stationary density are analyzed, which can be used as a surrogate for understanding the extinction status of the species. Keywords— Theta-Logistic model, Allee Effect, Population Dynamics, Correlated Noise, Stationary Distribution, Steady State. | |||||||||
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