A stochastic modified Beverton–Holt model with the Allee effect |
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| Authors: | Laila Assas Brian Dennis Saber Elaydi George Livadiotis |
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| Institution: | 1. Department of Mathematics, King AbdulAziz University, Jeddah, Saudi Arabia;2. Department of Fish and Wildlife Science, University of Idaho, 875 Perimeter Drive MS 1136, Moscow, ID, 83844, USA;3. Department of Mathematics, Trinity University, One Trinity Place, San Antonio, TX78212, USA;4. Department of Space Science, Southwest Research Institute, San Antonio, TX-78238, USA |
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| Abstract: | In this paper, we consider a discrete stochastic Beverton–Holt model with the Allee effect. We study the effects of demographic and environmental fluctuations on the dynamics of the model. Moreover, we investigate the potential function, the attainment time and quasi-stationary distributions of the system. |
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