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  
Fund Project:Supported by the Startup Fund of Dalian University of Technology (Grant No.DUT17RC(3)005).
Author NameAffiliation
Yan WANG School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
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      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.
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