【摘要】 研究一类潜伏期和染病期均具有传染性和康复可能的SEIRS流行病模型,确定了疾病流行与否的阈值,利用Routh-Hurwitz判据和LaSalle不变集原理得到无病平衡点的全局渐近稳定性,并借助广义Bendixson-Dulac定理得到地方病平衡点的全局渐近稳定性,最后给出数值模拟.更多还原

【Abstract】 An epidemic model with infectivity and recovery in both latent period and infected period is introduced,the basic reproduction number is established,By means of RouthHurwitz criterion and LaSalle invariant principle,the global stability of the disease-free equilibrium is proved.Then using the generalized Bendixson-Dulac theorem,the global stability of the positive equilibrium is proved.Numerical simulations support the conclusions.更多还原