通过间接接触传播传染病的年龄结构SIR模型。
Age-Structured SIR Model for the Spread of Infectious Diseases Through Indirect Contacts.
作者信息
Kumar Manoj, Abbas Syed
机构信息
School of Basic Sciences, Indian Institute of Technology Mandi, Kamand, Himachal Pradesh 175005 India.
出版信息
Mediterr J Math. 2022;19(1):14. doi: 10.1007/s00009-021-01925-z. Epub 2021 Dec 7.
In this article, we discuss an age-structured SIR model in which disease spread not only through direct person-to-person contacts, but also spread through indirect contacts. It is evident that age also plays a crucial role in SARS virus infection including COVID-19 infection. We formulate our model as an abstract semilinear Cauchy problem in an appropriate Banach space to show the existence of solution and also show the existence of steady states. In this study, it is assumed that the population is in a demographic stationary state and we show that there is no disease-free equilibrium point as long as there is a transmission of infection due to the indirect contacts in the environment. We also solved our model numerically to study the effect of indirect contacts on the density of infected individuals.
在本文中，我们讨论了一个年龄结构的SIR模型，其中疾病不仅通过人与人之间的直接接触传播，还通过间接接触传播。显然，年龄在包括COVID-19感染在内的SARS病毒感染中也起着至关重要的作用。我们将模型表述为适当巴拿赫空间中的抽象半线性柯西问题，以证明解的存在性，并证明稳态的存在性。在本研究中，假设人口处于人口统计学稳态，并且我们表明，只要环境中存在因间接接触导致的感染传播，就不存在无病平衡点。我们还对模型进行了数值求解，以研究间接接触对感染个体密度的影响。
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