CAJ | 학술논문

讨论了带有隔离和不同接种策略的SIQR传染病模型.在连续接种策略下给出了无病平衡点和地方病平衡点的存在性和全局稳定性;在脉冲接种策略下,获得了无病周期解,并给出了无病周期解全局稳定的充分条件,同时也讨论了隔离率、连续接种率、脉冲接种率、治疗率等参数对疾病防治的重要性.
토론료대유격리화불동접충책략적SIQR전염병모형.재련속접충책략하급출료무병평형점화지방병평형점적존재성화전국은정성;재맥충접충책략하,획득료무병주기해,병급출료무병주기해전국은정적충분조건,동시야토론료격리솔、련속접충솔、맥충접충솔、치료솔등삼수대질병방치적중요성.
A kind of SIQR epidemic models with isolation and different vaccination strategies was investigated and, under the continuous vaccination strategy, the existence and globally asymptotical stability of disease-free equilibrium and endemic equilibrium were obtained. With the discrete dynamic system, the infection-free periodic solution to the impulsive epidemic system was obtained and the necessary condition for the globally asymptotical stability of the solution was given on pulse vaccination strategy (PVS). It was also showed that different parameters have different functions in eradicating a disease.