具有连续预防接种的双线性传染率SIQR流行病模型

SIQR epidemical model with continuous vaccinal immunity and bilinear incidence rates

研究了一类具有预防接种免疫力的SIQR流行病模型全局稳定性.找到了决定疾病绝灭和持续生存的阈值——基本再生数σ.利用线性化和Liapunov-Lasalle不变集的方法,得到了各类评点的稳定性结论,揭示了染病期、隔离项和接种对疾病发展趋势的共同影响.

The global stability of SIQR epidemiological model with continuous vaccinal immunity and bilinear incidence rates is discussed. The reproduction number for the model is found, which determines the existence of the infective disease. By means of linearization and Liapunov-Lasalle invaicant set theorem,the stable results of various equilibriums are obtained. The joint influences of quarantine period, infected period, and vaccinal immunity on the disease are exposed.