独特性
数学
遍历理论
流行病模型
平稳分布
应用数学
随机建模
人口
数理经济学
接种疫苗
纯数学
统计
数学分析
人口学
马尔可夫链
医学
社会学
免疫学
作者
Milica Marković,Marija Krstić
出处
期刊:Nonlinearity
[IOP Publishing]
日期:2023-11-10
卷期号:36 (12): 7007-7024
标识
DOI:10.1088/1361-6544/ad08fb
摘要
Abstract In this paper we consider a stochastic susceptible-infectious-recovered (SIR) epidemiological model which is obtained on the basis of the deterministic SIR epidemiological model with general incidence rate, distributed delay, general treatment and vaccination. For our model we first prove existence and uniqueness of the global positive solution and then we consider conditions under which disease survives in population by proving the existence of ergodic stationary distribution. Also, the stochastic model adopts the disease-free equilibrium from it is deterministic analogue, and we investigate conditions under which it is stable in probability. Finally, the numerical simulations with real life date are carried out to illustrate the theoretical results.
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