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高校应用数学学报
Applied Mathematics A Journal of Chinese Universities  2014, Vol. 29 Issue (3): 333-342    DOI:
    
Analysis of a stochastic dynamical model for echinococcosis transmission
ZHAO Yu1,2, YANG Shi-jie3
1. Business School, Univ of Shanghai for Sci. and Tech., Shanghai 200093, China
2. School of Math. and Comput. Sci., Ningxia Teachers Coll., Guyuan 756000, China
3.CDC, Institute for Parasitic Disease; Key Laboratory of Parasite and Vector Biology, MOH; WHO Collaborating Centre for Malaria, Schistosomiasis and Filariasis, Shanghai 200025, China
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Abstract  A echinococcosis transmission dynamical model with stochastic environmental fluctuation and two discrete time delays is investigated. When basic reproductive number $R_0>1$ and the threshold of noise intensity $R_0^N<1$, the stability of the infectious equilibrium point $E^*$ in probability is proved. Furthermore, the effect of white noise and delay on the control of echinococcosis transmission is discussed.

Key words： hydatid disease       Lyapunov function      Ito’s formula      time delay      stochastic stability     
Received: 08 October 2013      Published: 10 June 2018
CLC:  O175.1  
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Cite this article:

ZHAO Yu, YANG Shi-jie. Analysis of a stochastic dynamical model for echinococcosis transmission. Applied Mathematics A Journal of Chinese Universities, 2014, 29(3): 333-342.

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http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2014/V29/I3/333


一类随机细粒棘球蚴病传播动力学模型的研究

研究了一类具有随机环境波动和时滞的细粒棘球蚴病传播动力学模型, 证明了在感染再生数$R_0> 1$ 和噪声强度阈值$R_0^N<1$ 时, 感染平衡点$E^*$是依概率稳定的. 探讨了环境噪声和时滞对控制细粒棘球蚴病传播的影响.

关键词： 棘球蚴病,  Lyapunov函数,  Ito公式,  时滞,  随机稳定性 
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