JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (4): 60-71.doi: 10.6040/j.issn.1671-9352.0.2024.061

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Analysis of SEIR model with self-protection awareness in complex networks

QIN Jiaxin, LI Shuping*   

  1. School of Mathematics, North University of China, Taiyuan 030051, Shanxi, China
  • Online:2025-04-20 Published:2025-04-08

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Abstract: By considering media publicity and information dissemination among people, we establish an SEIR(susceptible-exposed-infectious-removed,)model with two types of susceptible compartments on complex networks to study the impact of self-protection awareness on the spread of infectious diseases. The basic reproduction number R0 is obtained by calculation, and it is proved that there is a unique endemic equilibrium point when R0>1. According to Hurwitz criterion and comparison theorem, the stability of the disease-free equilibrium is analyzed. Then it is proved that the disease is uniformly persistent when R0>1. Sensitivity analysis determines the importance of parameters for R0. Numerical simulation shows that improving self-protection awareness can effectively reduce the probability of being infected.

Key words: self-protection awareness, complex network, stability, uniform persistence, sensitivity analysis

CLC Number: 

  • O175
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