| 一类SEQS禽流感模型的全局分析 |
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| 引用本文： | 陈永雪.一类SEQS禽流感模型的全局分析[J].福建农林大学学报(自然科学版),2010,39(2). |
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| 作者姓名： | 陈永雪 |
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| 作者单位： | 福建农林大学计算机与信息学院,福建,福州,350002 |
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| 基金项目： | 福建省教育厅资助项目(JA09071) |
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| 摘 要： | 基于家禽饲养的实际,研究了具有常数输入且输入者中含有潜伏期者,同时染病者被隔离的SEQS模型.利用广义Bendixson-Dulac定理排除了周期解的存在,证明了有病平衡点一旦存在即是全局稳定的.
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| 关 键 词： | 平衡点 Jacobian矩阵 广义Bendixson-Dulac定理 稳定性 |
Global analysis of an SEQS avian influenza model |
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| CHEN Yong-xue.Global analysis of an SEQS avian influenza model[J].Journal of Fujian Agricultural and Forestry University,2010,39(2). |
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| Authors: | CHEN Yong-xue |
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| Institution: | College of Computer and Information;Fujian Agriculture and Forestry University;Fuzhou;Fujian 350002;China |
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| Abstract: | Based on actual poultry feeding,an SEQS epidemic model was constructed and analyzed,which contained constant immigration and latent period individuals in immigration,and infected patients were isolated immediately.According to general Bendixson-Dulac theorem,the existence of periodic trajectory was excluded,and it was proved that the unique disease equilibrium was globally stable. |
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| Keywords: | equilibrium Jacobian matrix general Bendixson-Dulac theorem stability |
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