| The Global Attraction of Logistic Equation with L\'evy Noise |
| Received:April 21, 2020 Revised:November 13, 2020 |
| Key Words:
Logistic equation L\'{e}vy noise global attraction equilibrium
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| Fund Project:Supported by the Startup Fund of Dalian University of Technology (Grant No.DUT17RC(3)005). |
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| Abstract: |
| The logistic equation with L\'evy noise is considered. Under suitable conditions, the global existence and uniqueness is obtained; it is shown that the unique positive equilibrium is globally attractive if the initial value is less than the carrying capacity. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2021.03.009 |
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