两种群相互竞争具有脉冲预防接种的SIR传染病模型

摘要

An S(susceptible)-I(infective)-R(cured) model with pulse vaccination is formulated for two competitive species. The uniformly persistence and locally asymptotic stability of equilibrium point are discussed. The effective way to prevent the infectious disease transmitted of species and the between competitive species is pulse vaccination. The means can be used for protecting rare and endangered species.%研究了一类具有脉冲预防接种的两种群相互竞争S(易感染者)-I(感染者)-R(治愈者)传染病模型,讨论了平衡点的存在性和局部渐进稳定性,脉冲接种有效的预防种群内,及其竞争种群间传染病的传播和蔓延.该接种方法可以在珍稀物种中推广.