信阳师范学院学报(自然科学版)
信暘師範學院學報(自然科學版)
신양사범학원학보(자연과학판)
JOURNAL OF XINYANG NORMAL UNIVERSITY(NATURAL SCIENCE EDITION)
2013年
4期
489-492
,共4页
饱和传染率%脉冲接种%染病再生数%全局吸引
飽和傳染率%脈遲接種%染病再生數%全跼吸引
포화전염솔%맥충접충%염병재생수%전국흡인
saturation infectious rate%pulse vaccination%reproductive number of infective%global attractor
建立了一类带有脉冲接种和饱和传染率的类年龄结构SEIR流行病模型,讨论了系统无病周期解存在的条件,给出了染病再生数的表达式,证明了染病再生数小于1时,无病周期解是全局吸引的。
建立瞭一類帶有脈遲接種和飽和傳染率的類年齡結構SEIR流行病模型,討論瞭繫統無病週期解存在的條件,給齣瞭染病再生數的錶達式,證明瞭染病再生數小于1時,無病週期解是全跼吸引的。
건립료일류대유맥충접충화포화전염솔적류년령결구SEIR류행병모형,토론료계통무병주기해존재적조건,급출료염병재생수적표체식,증명료염병재생수소우1시,무병주기해시전국흡인적。
A class age-structured SEIR epidemic model with impulsive vaccination and saturation infectious rate was formulated .The existence of disease-free periodic solution was discussed and the expression of infective reproduc-tive number was obtained .It was proved that the disease-free periodic solution was globally attractive if the infective re-productive number is less than one .