两种群相互竞争的具有脉冲接种的SEIR传染病模型

摘要

研究了一类两种群相互竞争的具有脉冲接种的SEIR传染病模型,讨论了系统周期解的存在性,并利用Flo-quet定理证明,在满足一定条件下,周期解是局部渐近稳定的.%An SEIR epidemic model of two competitive species with pulse vaccination is studied. We discuss the existence of periodic solution and prove that stability of periodic solution by using the Floquet theorem. The results demonstrated that periodic solutions are local asymptotic stable with satisfied fixed condition.