一类禽流感模型的全局稳定性

Global Stability of an Avian Influenza Model

在饲养业中不可避免着人类行为的干涉,基于饲养业实际研究了一类染病者即刻被隔离的SEQS模型,其中常数输入是必须的且输入者中必含潜伏期者.利用三维空间的Bendixson-Dulac定理证明系统不存在周期解,从而唯一的正平衡点一旦存在即是全局稳定的.

In poultry feedlot, we must keep in~ mind that there exists intervention of human. Basing on the reality of husbandry, a SEQS epidemic model was constructed and studied. Where the infected patients are isolated immediately. It is necessary to consider the constant immigration, and there exists latent period individuals in immigrant. By the general Bendixson-Dulac theorem, we proved that periodic solutions of the system do not exist, then the unique positive equilibrium point is globally stable.