%0 Journal Article
%T 考虑疫苗接种和失效的COVID-19传播模型的动力学分析<br>Dynamics Analysis of a COVID-19 Transmission Model Incorporating Vaccination and Failure
%A 赵勇盛
%A 张蒙
%J Advances in Applied Mathematics
%P 2348-2357
%@ 2324-8009
%D 2024
%I Hans Publishing
%R 10.12677/aam.2024.135222
%X 疫苗接种是一种控制疫情传播的有效措施。但是随着毒株的变异出现了一个新的问题–免疫逃亡。免疫逃亡会使我们接种的疫苗失去作用，再次面临被感染的风险。重症治疗是应对COVID-19疫情的重要环节，不仅决定了患者的康复率和死亡率，还直接影响了疫情的传播速度和范围。因此本文构建了一个具疫苗失效以及重症住院治疗的COVID-19传播动力学模型，计算了模型的控制再生数，证明了模型无COVID-19平衡点和COVID-19平衡点存在性条件，并进行数值模拟验证了理论结果。<br />
Vaccination is an effective measure to control the spread of epidemics. However, as strains of the virus mutate, a new problem arises-immune escape. Immune escape renders the vaccine ineffective and puts us at risk of being infected again. Critical care is an important part of the response to COVID-19 epidemic, which not only determines the recovery rate and mortality rate of patients, but also directly affects the speed and scope of the epidemic. In this paper, we constructed a model of COVID-19 transmission dynamics with vaccine failure and intensive care hospitalisation, calculated the control regeneration number of the model, proved that the model has no COVID-19 equilibrium point and the existence condition of COVID-19 equilibrium point, and conducted numerical simulations to verify the theoretical results.
%K COVID-19，住院治疗，疫苗失效，全局稳定性，数值模拟<br>COVID-19
%K Hospitalization
%K Vaccine Failure
%K Global Stability
%K Numerical Modeling
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=88573