Impact of time-dependent infection rate and self-isolation awareness on networked epidemic propagation

Yuan, Xianglai; Yao, Yichao; Li, Xiangxi; Feng, Minyu

doi:10.1007/s11071-024-09832-0

Nonlinear Dyn

2024

DOI: 10.1007/s11071-024-09832-0

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Impact of time-dependent infection rate and self-isolation awareness on networked epidemic propagation

Xianglai Yuan,

Yichao Yao,

Xiangxi Li

et al.

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Statistical Properties of SIS Processes with Heterogeneous Nodal Recovery Rates in Networks

Guo,

Jiao,

Feng

2024

Applied Sciences

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The modeling and analysis of epidemic processes in networks have attracted much attention over the past few decades. A major underlying assumption is that the recovery process and infection process are homogeneous, allowing the associated theoretical studies to be conducted in a convenient manner. However, the recovery and infection processes usually exhibit heterogeneous rates in the real world, which makes it difficult to characterize the general relations between the dynamics and the underlying network structure. In this work, we focus on the susceptible–infected–susceptible (SIS) epidemic process with heterogeneous recovery rates in a finite-size complete graph. Specifically, we study the metastable-state statistical properties of SIS epidemic dynamics with two different nodal recovery rates in complete graphs. We propose approximate solutions to the metastable-state expectation and the variance in the number of infected nodes within the framework of the mean-field approximation method. We also derive several upper and lower bounds of the steady-state probability that a node is in the infected state. We verify the proposed approximate solutions of the mean and variance via simulations. This work provides insights into the fluctuations in the statistical properties of epidemic processes with complex dynamical behaviors in networks.

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Statistical Properties of SIS Processes with Heterogeneous Nodal Recovery Rates in Networks

Guo,

Jiao,

Feng

2024

Applied Sciences

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Impact of time-dependent infection rate and self-isolation awareness on networked epidemic propagation

Cited by 1 publication

References 30 publications

Statistical Properties of SIS Processes with Heterogeneous Nodal Recovery Rates in Networks

Statistical Properties of SIS Processes with Heterogeneous Nodal Recovery Rates in Networks

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