[1] GRAY A, GREENHALGH D, MAO X, et al. The SIS epidemic model with Markovian switching[J]. Journal of Mathematical Analysis and Applications, 2012, 394(2): 496-516. [2] 马知恩, 周义仓, 王稳地, 等. 传染病动力学的数学建模与研究[M]. 北京: 科学出版社,2004:3-24. [3] 马艳丽, 张仲华. 潜伏类和移出类具有传染性的SEIR模型的渐近性分析[J]中国科学技术大学学报, 2016, 46(2): 95-103. MA Yanli, ZHANG Zhonghua. Asymptotical analysis of SEIR model with infectious force in latent and immune periods[J]. Journal of University of Science and Technology of China, 2016, 46(2): 95-103. [4] 蒋贵荣, 刘期怀, 龙腾飞,等. 脉冲动力系统的分岔混沌理论及其应用[M]. 北京: 科学出版社, 2015: 167-169. [5] 刘开源, 陈兰荪. 一类具有垂直传染与脉冲免疫的SEIR传染病模型的全局分析[J]. 系统科学与数学, 2010, 30(3): 323-333. LIU Kaiyuan, CHEN Lansun. Global analysis of an SEIR epidemic disease mode with vertical transmission and pulse vaccination[J]. Journal of Systems Science and Mathematical Sciences, 2010, 30(3): 323-333. [6] JIANG Guirong, YANG Qigui. Periodic solutions and bifurcation in an SIS epidemic model with birth pulse[J]. Mathematical and Computer Modeling, 2009, 50: 498-508. [7] HU Zhixing, LIU Sheng, WANG Hui. Backward bifurcation of an epidemic model with standard incidence rate and treatment rate[J]. Nonlinear Analysis: Real World Applications, 2008, 9(5): 2302-2312. [8] 马淑芳, 仇晓芬, 钟秋慧. 具有脉冲出生的SIS传染病模型的生存性[J]. 黑龙江大学自然科学学报, 2010, 27(1): 34-37. MA Shufang, QIU Xiaofen, ZHONG Qiuhui. Persistence of SIS epidemic model with birth pulse[J]. Journal of Natural Science of Heilongjiang University, 2010, 27(1): 34-37. [9] 王克.随机生物数学模型[M].北京:科学出版社,2010. [10] LIN Yuguo, JIANG Daqing, WANG Shuai. Stationary distribution of a stochastic SIS epidemic model with vaccination [J]. Physica A: Statistical Mechanics and Its Applications, 2014, 394: 187-197. [11] 周艳丽, 张卫国.非线性传染率的随机SIS传染病模型的持久性和灭绝性[J].山东大学学报(理学版), 2013, 48(10): 68-77. ZHOU Yanli, ZHANG Weiguo. Persistence and extinction in stochastic SIS epidemic model with nonlinear incidence rate[J]. Journal of Shandong University (Natural Science), 2013, 48(10): 68-77. [12] XU C. Global threshold dynamics of a stochastic differential equation SIS model[J]. Journal of Mathematical Analysis and Applications, 2017, 447(2): 736-757. [13] ANDERSON R, MAY R. Infectious Diseases of Humans: Dynamics and Control[M]. Oxford: Oxford University Press, 1991.
() () |