一类具有时滞的两种新冠病毒并行传播的SIR模型研究  

Research on a SIR Model of Two New Coronaviruses with Time Delay in Parallel Propagation

作　　者：金薇 廖新元[1] 佘智凤 Jin Wei;Liao Xinyuan;She Zhifeng(School of Mathematics and Physics,University of South China,Hengyang,421001,China)

机构地区：[1]南华大学数理学院,衡阳421001

出　　处：《数学理论与应用》2022年第2期99-107,共9页Mathematical Theory and Applications

摘　　要：本文研究一类具有时滞的两种新冠病毒并行传播的SIR模型,首先证明其全局正解的存在唯一性,其次通过构建合适的Lyapunov函数得到新冠病毒和变异型新冠病毒灭绝和持久的充分条件,最后通过数值模拟验证相关结论.In this paper a SIR model for the parallel propagation of two new coronaviruses with time delay is studied.Firstly,the existence and uniqueness of the global positive solution of the system is proved.Secondly,the sufficient conditions for persistence and extinction of the new coronavirus and the variant new coronavirus are obtained by constructing a appropriate Lyapunov function.Finally,the relevant conclusions are verified by numerical simulations.

关 键 词：随机SIR模型 时滞 并行传播 持久 灭绝 

分 类 号：O175[理学—数学] R181[理学—基础数学]