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一类SEQS禽流感模型的全局分析 被引量:2

Global analysis of an SEQS avian influenza model
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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. 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.
作者 陈永雪
出处 《福建农林大学学报(自然科学版)》 CSCD 北大核心 2010年第2期173-176,共4页 Journal of Fujian Agriculture and Forestry University:Natural Science Edition
基金 福建省教育厅资助项目(JA09071)
关键词 平衡点 Jacobian矩阵 广义Bendixson-Dulac定理 稳定性 equilibrium Jacobian matrix general Bendixson-Dulac theorem stability
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