Effects of measures on phase transitions in two cooperative susceptible-infectious-recovered dynamics.
Effects of measures on phase transitions in two cooperative susceptible-infectious-recovered dynamics.
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DOI：
10.1103/physreve.105.034311
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发表时间：
2021-10
期刊：
影响因子：
--
通讯作者：
A. Khazaee;Fakhteh Ghanbarnejad
中科院分区：
文献类型：
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作者：
A. Khazaee;Fakhteh Ghanbarnejad
在最近的研究中，已经表明，在共同感染传播中的合作相互作用可以导致在降低的阈值下的不连续过渡。在这里，我们调查的影响，免疫接种率成比例的程度上的合作共同感染的相变的感染。我们使用的平均场近似来说明如何删除一部分的易感隔室，如接种疫苗，具有足够高的速率可以改变不连续的过渡在两个耦合的易感性传染性恢复的动态连续的，同时增加阈值的过渡。首先，我们引入一个固定的接种率到两种疾病的对称传播，并研究数值结果。第二，我们设定与感染区室的大小成比例的测量率，并仔细检查动态。我们用数值和解析方法求解方程，并在很宽的参数范围内探测跃迁。我们还确定从解析解的过渡点。第三，我们采用非均匀平均场的方法，将非均匀性和非对称性纳入动力学中，并观察对应于均匀对称情形的结果是否成立。
In recent studies, it has been shown that a cooperative interaction in a co-infection spread can lead to a discontinuous transition at a decreased threshold. Here, we investigate the effects of immunization with a rate proportional to the extent of the infection on phase transitions of a cooperative co-infection. We use the mean-field approximation to illustrate how measures that remove a portion of the susceptible compartment, like vaccination, with high enough rates can change discontinuous transitions in two coupled susceptible-infectious-recovered dynamics into continuous ones while increasing the threshold of transitions. First, we introduce vaccination with a fixed rate into a symmetric spread of two diseases and investigate the numerical results. Second, we set the rate of measures proportional to the size of the infectious compartment and scrutinize the dynamics. We solve the equations numerically and analytically and probe the transitions for a wide range of parameters. We also determine transition points from the analytical solutions. Third, we adopt a heterogeneous mean-field approach to include heterogeneity and asymmetry in the dynamics and see if the results corresponding to homogeneous symmetric case stand.