摘要
考虑随机环境因素对禽类与人类共存系统的影响,研究了一类具有随机白噪声因素扰动下的禽流感模型的渐近行为.利用停时证明了随机模型具有唯一的全局正解,获得了系统中流感病毒灭绝的充分条件,得到的限制条件保证了随机系统存在稳定分布.
An avian-human influenza model has been proposed and analyzed in which the model was influenced by white noises. The model has a global positive solution by using stopping time and Ito formula,detailed qualitative analysis about the critical condition for the extinction of the virus is obtained. Finally,the sufficient conditions are obtained to ensure the existence of the unique stationary distribution by constructing Lyapunov function.
作者
谭杨
郭子君
Tan Yang;Guo Zijun(Tongren Polytechnic College,Tongren 554300,China;Institute of Applied Mathematics,South China Agricultural University,Guangzhou 510642,China)
出处
《北华大学学报（自然科学版）》
CAS
2018年第5期561-568,共8页
Journal of Beihua University（Natural Science）
基金
广东省自然科学基金项目(2015A030310065)
铜仁市科技计划项目(铜市科研(2017)47-99号)
关键词
禽流感模型
停时
随机干扰
灭绝
平稳分布
avian influenza model
stopping time
stochastic perturbation
extinction
stationary distribution
