Dynamics between infectious diseases with two susceptibility conditions: A mathematical model
Dynamics between infectious diseases with two susceptibility conditions: A mathematical model
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DOI：
10.1016/j.mbs.2019.01.005
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发表时间：
2019-03-01
影响因子：
4.3
通讯作者：
Munoz-Quezada, M. T.
中科院分区：
文献类型：
--
作者：
Gutierrez-Jara, J. P.;Cordova-Lepe, F. D.;Munoz-Quezada, M. T.
本文提出了一种受两种不同易感-被感染-易感传染病影响的人群的流行病学传播新模型。对于每种疾病，个体处于其中一种疾病发生率最高的两种易感条件中的一种。这种模式的独特之处在于，它假定：(a)如果一个人感染了一种疾病，他对另一种疾病的易感性就会增加；(b)当一个人从某种疾病中康复后，他就不那么容易感染这种疾病，即获得部分免疫力。该模型通过利用微分方程的耦合系统来捕捉这两个假设。基于基本再生数理论对系统进行了动态分析，并采用数值模拟方法进行了模式可视化。
This paper presents a novel epidemiological transmission model of a population affected by two different susceptible-infected-susceptible infectious diseases. For each disease, individuals fall into one of the two susceptibility conditions in which one of the diseases has the highest occurrence level. This model is unique in assuming that: (a) if an individual is infected by one disease, their susceptibility to the other disease is increased; (b) when an individual recovers from a disease they become less susceptible to it, i.e. they acquire partial immunity. The model captures these two assumptions by utilizing a coupled system of differential equations. Dynamic analysis of the system is based on basic reproductive number theory, and pattern visualization was performed using numerical simulation.