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| 摘要: |
| 本文研究了一类具有时滞的易感-潜伏-感染-免疫(SEIR)金融风险传染模型的动力学性质。利用稳定性理论和Hopf分岔理论分析了平衡点的稳定性与Hopf分岔产生的解析条件。在已有传染病模型的基础上，本文综合考虑了监管机构的事先预防和个体自身的救助来改进模型，得出两者均能影响感染个体的数量。同时获得了系统产生Hopf分岔的解析条件，并用数值模拟加以验证。 |
| 关键词: 金融风险传染 自身救助 暂时免疫 时滞 |
| DOI： |
| 分类号:O193;F830.9 |
| 基金项目:国家自然科学基金项目（面上项目，重点项目，重大项目） |
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| Dynamic Analysis of a Type of Financial Risk Contagion Model Involving Immunity Period and Self-rescue |
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zhangshuanghui,wanghaixia
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| Abstract: |
| In this paper, we study the dynamics of a Susceptible-Exposed-Infectious-Recovered (SEIR) financial risk contagion model with time delay. Using stability theory and Hopf bifurcation theory, equilibrium stability and Hopf bifurcation are analyzed in detail. Based on the epidemic model, we improve it by taking prior prevention and self-rescue into consideration, conclude preventive intensity and self-rescue capabilities effect the number of infections. At the same time, the analytical conditions for Hopf bifurcation are obtained, and the relevant results are verified by numerical simulations. |
| Key words: financial risk contagion self-rescue time delay Hopf bifurcation |
