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The protection zone for biological population in random environment |
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| Authors: | Xiaoling Zou Ke Wang |
| Institution: | 1. Department of Mathematics, Harbin Institute of Technology, , Weihai, 264209 China;2. School of Mathematics and Statistics, Northeast Normal University, , 130024 Changchun, China |
| Abstract: | A biomathematical model is described by stochastic differential equations with Markovian switching. The long‐time dynamical properties are studied both theoretically and numerically. Results show that both the persistence and extinction have close relationship with environmental noises (white and color noises). These results are of important biological significance for biological conservation. Copyright © 2012 John Wiley & Sons, Ltd. |
| Keywords: | stochastic model white and color noises persistence and extinction Markov chain stationary distribution numerical simulations |