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Stability analysis of a stochastic logistic model with nonlinear diffusion term |
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| Authors: | Xiping Sun Yongji Wang |
| Institution: | 1. Department of Electrical Engineering, Hubei Automotive Industries Institute, 442002 Shiyan, Hubei, PR China;2. Department of Control Science and Engineering, Huazhong University of Science and Technology, 430072 Wuhan, Hubei, PR China |
| Abstract: | This paper presents an asymptotic analysis of a stochastic logistic population model with nonlinear diffusion term. The classical probability method is applied to obtain the criteria of asymptotic behavior for the considered model. The numerical simulations validate the efficiency of the theory analysis. |
| Keywords: | Stochastic logistic model with a nonlinear diffusion term Asymptotic stability in distribution Classical probability method |
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