| 摘要: |
| 在具有出生和死亡的一类SIS传染病模型中，考虑了非线性发生率对阈值的影响，对模型进行了改进；主要分析了复杂网络中考虑出生及死亡的情形下非线性率对传染病阈值的影响；结果表明：非线性感染力对传染阈值有着严重影响，传染病阈值λc与因病死亡率β有着非常密切的关系. |
| 关键词: 死亡率 非线性发生率 阈值 稳定性 |
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| Analysis of Threshold Value of Forest Fire Disaster Model with Nonlinear Incidence Rate |
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YIN Li shou, ZHANG Jin zhu
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| Abstract: |
| In a class of SIS epidemic model with birth and death, this paper considers the impact of nonlinear incidence rate on threshold value, improves the model, and mainly analyzes the influence of nonlinear rate on the epidemic threshold value based on considering the situation of the birth and death in complex network. Results show that nonlinear infectivity has severe effect on epidemic threshold value and that there is very close relation between epidemic threshold value λc and the death rate β with disease. |
| Key words: death rate nonlinear incidence rate threshold value stability |
