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齐龙兴, 刘彬彬, 唐燕武. 带有随机项Barbour单宿主模型正解的存在唯一性和最终有界性[J]. 信阳师范学院学报(自然科学版), 2019, 32(4): 525-530. DOI: 10.3969/j.issn.1003-0972.2019.04.002
引用本文: 齐龙兴, 刘彬彬, 唐燕武. 带有随机项Barbour单宿主模型正解的存在唯一性和最终有界性[J]. 信阳师范学院学报(自然科学版), 2019, 32(4): 525-530. DOI: 10.3969/j.issn.1003-0972.2019.04.002
shu
QI Longxing, LIU Binbin, TANG Yanwu. Existence,Uniqueness and Ultimate Boundedness of Positive Solution to a Stochastic Barbour Single-host Model[J]. Journal of Xinyang Normal University (Natural Science Edition), 2019, 32(4): 525-530. DOI: 10.3969/j.issn.1003-0972.2019.04.002
Citation: QI Longxing, LIU Binbin, TANG Yanwu. Existence,Uniqueness and Ultimate Boundedness of Positive Solution to a Stochastic Barbour Single-host Model[J]. Journal of Xinyang Normal University (Natural Science Edition), 2019, 32(4): 525-530. DOI: 10.3969/j.issn.1003-0972.2019.04.002
shu

带有随机项Barbour单宿主模型正解的存在唯一性和最终有界性

Existence,Uniqueness and Ultimate Boundedness of Positive Solution to a Stochastic Barbour Single-host Model

    摘要
  • 摘要: 考虑到血吸虫病传播过程受很多随机因素的影响，在Barbour模型的基础上引入随机项，建立血吸虫病随机模型.通过构造Lyapunov函数，利用Itô积分证明了该随机系统正解的存在唯一性和最终有界性.

     

    Abstract: Considering the random factors involved in the transmission of schistosomiasis, the random terms were introduced inti the classic Barbour single-host model and a random model of schistosomiasis is formulated. By constructing the Lyapunov function and using the Itô integral, it is proved that the positive solution is unique and ultimately bounded.

     

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