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Stochastic modified Beverton–Holt model with Allee effect II: the Cushing–Henson conjecture |
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| Authors: | Laila Assas Brian Dennis Saber Elaydi George Livadiotis |
| Institution: | 1. Department of Mathematics, King AbdulAziz University, Jeddah, Saudi Arabia.;2. Department of Fish and Wildlife Science, University of Idaho, Moscow, ID, USA.;3. Department of Mathematics, Trinity University, San Antonio, TX, USA.;4. Department of Space Science, Southwest Research Institute, San Antonio, TX, USA. |
| Abstract: | We consider a single-species stochastic modified Beverton–Holt model with Allee effects caused by predator saturation. We prove that, under some conditions on the parameters, there exists a Markov operator that is asymptotically stable. A stochastic version of the Cushing–Henson conjecture on attenuance and resonance is investigated. |
| Keywords: | Allee effect stochastic attenuance resonance Markov operator asymptotic stability |