饱和处理流行病模型的随机持久性与消亡

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Prasenjit Mahato, Subhashis Das, S. Mahato
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引用次数: 0

摘要

提出并研究了具有饱和处理函数的易感-暴露-感染-恢复[公式:见文]流行病模型的传播动力学。我们考虑流行病系统中的饱和治疗函数,以了解延迟治疗对疾病传播的影响。被认为是一种白噪声的不加区分的扰动与状态变量到地方性平衡值的距离成正比。选择合适的Lyapunov函数,利用其公式,检验了系统正解的存在性和唯一性。在适当的条件下,研究了流行病模型的随机有界性、持久性和消光性。通过数值模拟来说明我们的结果。对基本再现数进行了灵敏度分析。确定了控制参数对模型动力学的影响。我们的主要发现是,不同强度的白噪声可以使易感、暴露、感染和恢复的个体在其平衡点附近波动。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
STOCHASTIC PERMANENCE AND EXTINCTION OF AN EPIDEMIC MODEL WITH SATURATED TREATMENT
We propose and study the transmission dynamics of susceptible-exposed-infected-recovered [Formula: see text] epidemic model with saturated treatment function. We consider saturated treatment function in the epidemic system to understand the effect of delayed treatment on the disease transmission. The indiscriminately perturbation which is considered as a type of white noise is proportional to the distance of state variables from the values of endemic equilibria. Choosing the suitable Lyapunov function and using the It[Formula: see text]’s formula, the existence and the uniqueness of the positive solution of the system are examined. Stochastic boundedness, permanence and extinction of the epidemic model are investigated with proper conditions. Numerical simulations are performed to illustrate our results. The sensitivity analysis of the basic reproduction number is performed. The effect of control parameter is determined on the model dynamics. It is our main finding that the different intensities of white noises can fluctuate the susceptible, exposed, infected, recovered individuals around its equilibrium points.
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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