LEVY

作品数：399被引量：1166H指数：15
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Dynamics of a stochastic Holling II predator-prey model with Levy jumps and habitat complexity
《International Journal of Biomathematics》2021年第6期297-312,共16页Guangjie Li Qigui Yang 
supported by the National Natural Science Foundation of China(Nos.11901398,11671149,11871225 and 11771102);Guangdong Basic and Applied Basic Research Foundation(No.2019A1515011350);the Fundamental Research Funds for the Central Universities(No.2018MS58).
This paper investigates a stochastic Holling II predator-prey model with Levy jumps and habit complexity.It is first proved that the established model admits a unique global positive solution by employing the Lyapunov...
关键词：Stochastic predator-prey model JUMPS Holling II type functional response habitat complexity stochastic ultimate boundedness persistence and extinction. 
Dynamic characterization of a stochastic SIR infectious disease model with dual perturbation被引量：1
《International Journal of Biomathematics》2021年第4期1-26,共26页Driss Kiouach Yassine Sabbar 
Environmental perturbations are unavoidable in the propagation of infectious diseases.In this paper,we introduce the stochasticity into the susceptible-infected recovered(SIR)model via thc^parameter perturbation metho...
关键词：SIR epidemic model white noise Levy noise stationary distribution PERSISTENCE EXTINCTION 
Analysis on stochastic dynamics of two-consumers-one-resource competing systems with Beddington-DeAngelis functional response被引量：1
《International Journal of Biomathematics》2021年第2期1-14,共14页Shufen Zhao 
In this paper,stochastic dynamics with Lévy noise of two-consumers-one-resource competing systems with Beddington–DeAngelis functional response are considered.We first show the existence of the global positive solut...
关键词：Levy noise stochastic persistence stationary distribution 
Stochastic dynamics of the delayed chemostat with Levy noises被引量：1
《International Journal of Biomathematics》2019年第5期171-202,共32页Dinnli Zhao Sanling Yuan Haidong Liu 
This paper formulates and studies a delayed ehemostat with Levy noises.Existence of the glohally positive solution is proved first by establishing suitable Lyapunov functions,and a further result on exact Lyapunov exp...
关键词：Delayed ehemostat models Ldvy NOISES sample LYAPUNOV EXPONENTS thresh-old RECURRENCE 
Dynamics of a stochastic three-species competitive model with Levy jumps
《International Journal of Biomathematics》2018年第5期285-308,共24页Yongxin Cao Shiquan Tian 
The work is supported by National Science Foundation of China （No. 11472298）, the Fundamental Research Funds for the Central Universities （No. ZXH2012K004）, the National Science Foundation of Tianjin City （No. 13JCQNJC04400） and the NNSF of P. R. China （No. 11401574）.
This paper is concerned with a three-species competitive model with both white noises and Levy noises. We first carry out the almost complete parameters analysis for the model and establish the critical value between ...
关键词：Stochastic competitive model Levy jumps EXTINCTION persistence in the mean stability in distribution. 
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