计算机工程与应用 ›› 2015, Vol. 51 ›› Issue (23): 74-77.
• 理论研究、研发设计 • 上一篇 下一篇
薛春荣
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XUE Chunrong
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摘要： 研究捕食系统中捕食者存在疾病的SEIR模型，假设疾病具有潜伏期，所有捕食者新生种群都进行预防接种，运用极限理论，Lyapunov函数和二次复合矩阵等方法，得到了捕食者灭绝和疾病成为地方病的充分必要条件。
关键词: 潜伏期, 预防接种, 捕食系统, 平衡点, 稳定性
Abstract: Assumed that disease has latent period, all the?freshmen are?vaccinated?populations?of predators, a predator-prey SEIR model with infected predator is studied. Through limiting system theory, Liapunov function and second additive compound matrix, the necessary and sufficient conditions of global stability of predator extinction and disease endemic are obtained.
Key words: latent period, vaccination, predator-prey model, equilibrium, stability
薛春荣. 捕食者存在疾病的SEIR模型的全局稳定性[J]. 计算机工程与应用, 2015, 51(23): 74-77.
XUE Chunrong. Global stability of SEIR epidemic model with disease in predator[J]. Computer Engineering and Applications, 2015, 51(23): 74-77.
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http://cea.ceaj.org/CN/Y2015/V51/I23/74
