具有非线性传染率及脉冲免疫接种的SIQR传染病模型An SIQR Epidemic Model with Nonlinear Incidence Rate and Impulsive Vaccination
邢伟;高晋芳;颜七笙;周其华;
摘要(Abstract)：
本文研究了具有非线性传染率及脉冲免疫接种的SIQR模型,采用非线性传染率βI(t)(1+vI(t))S(t)得到了疾病流行与否的阈值,并且利用Floquet定理及比较定理证明了无病周期解的存在性与全局渐近稳定性,最后讨论了系统疾病一致持续的充分条件。研究结果表明:当参数满足一些条件时,疾病永久存在不会消亡,丰富了传染病动力学的理论知识。
关键词(KeyWords)： 非线性传染率;SIQR模型;全局渐近稳定性;一致持续
基金项目(Foundation): 国家自然科学基金(11661005);; 江西省高等学校教学改革研究项目(JXJG-15-6-22);; 江西省教育厅科学技术研究项目(GJJ14469)
作者(Authors): 邢伟;高晋芳;颜七笙;周其华;
DOI: 10.16088/j.issn.1001-6600.2017.02.009
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