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Stationary Distribution and Extinction ofStochastic Beddington-DeAngelis Predator-preyModel with Distributed Delay
  
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KeyWord:Stochastic Beddington-DeAngelis predator-prey model  Distributed delay  Stationary distribution  Extinction
Author NameAffiliation
Mingyu Song College of Science, Key Laboratory of Unconventional Oil Gas Development, China University of Petroleum (East China), Qingdao, Shandong 266580, China 
Wenjie Zuo College of Science, Key Laboratory of Unconventional Oil Gas Development, China University of Petroleum (East China), Qingdao, Shandong 266580, China 
Daqing Jiang College of Science, Key Laboratory of Unconventional Oil Gas Development, China University of Petroleum (East China), Qingdao, Shandong 266580, China 
Tasawar Hayat Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Quaid-I-Azam University, Islamabad, 44000, Pakistan 
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Abstract:
      In this paper, the formats of Julia sets for a class of nonlinear complex dynamic systems with variable coefficients were studied under certain conditions. For the complex dynamic systems in piecewise cases, we proposed some methods to control the forms of their Julia sets and stable domains analytically. What’s more, we illustrated that our methods worked well by computational simulations. Our work provides a better understanding about how to control the Julia sets of certain complex dynamic systems.