期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
复杂网络中SAIQRS传染病模型动力学分析
- (陕西科技大学 数学与数据科学学院,陕西 西安 710021)
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DOI：10.13763/j.cnki.jhebnu.nse.202302002
Dynamic Analysis on SAIQRS Epidemic Model in Complex Networks
摘要/Abstract
基于动力学理论研究了复杂网络中传染病的传播过程,综合考虑个体在疾病传播过程中的预防行为和自我隔离措施,提出了一类无标度网络上具有警觉行为和隔离行为的SAIQRS传染病传播模型;并进一步利用平均场理论得到传播阈值的关系式,系统分析了模型的动力学行为. 研究发现,在无标度网络中增大警觉率、隔离率的比例和增强警觉的强度,可以降低传染病的爆发规模. 数值仿真结果表明,具有警觉和隔离的行为对疾病的传播速度与传播规模有影响.
The process of infectious disease transmission on complex networks is studied based on dynamics theory. Considering individual preventive behavior and self-isolation measures in the process of disease transmission,a SAIQRS infectious disease transmission model with alert behavior and isolation behavior on scale-free networks is proposed. Furthermore,by using the mean field theory,the relation of the propagation threshold is obtained and the dynamic behavior of the model is analyzed systematically. We study the proportion of increasing vigilance rate,the intensity of vigilance and isolation rate and in scale-free networks are studied. Numerical simulation results show that the behaviors of vigilance and isolation have a great impact on the speed and scale of disease transmission.
关键词
参考文献 10
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