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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 Name | Affiliation | | 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. |
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