湖北师范学院学报(自然科学版)
湖北師範學院學報(自然科學版)
호북사범학원학보(자연과학판)
JOURNAL OF HUBEI NORMAL UNIVERSITY (NATURAL SCIENCE)
2013年
1期
69-73
,共5页
王桂臻%李必文%宣天赐%吴雪莹
王桂臻%李必文%宣天賜%吳雪瑩
왕계진%리필문%선천사%오설형
接种%脉冲微分方程%稳定性%持久性%基本再生数
接種%脈遲微分方程%穩定性%持久性%基本再生數
접충%맥충미분방정%은정성%지구성%기본재생수
vaccination%impulsive differential equation%stability%permanence%basic reproduction number
考虑了时滞方程的两类接种策略.连续接种的系统中,研究了无病平衡点的局部渐近稳定性和地方病平衡点的全局渐近稳定性;脉冲作用下的传染病模型,利用脉冲比较定理和微分不等式得到了无病周期解的全局吸引性的条件,最后对两类接种进行了比较并得出结论.
攷慮瞭時滯方程的兩類接種策略.連續接種的繫統中,研究瞭無病平衡點的跼部漸近穩定性和地方病平衡點的全跼漸近穩定性;脈遲作用下的傳染病模型,利用脈遲比較定理和微分不等式得到瞭無病週期解的全跼吸引性的條件,最後對兩類接種進行瞭比較併得齣結論.
고필료시체방정적량류접충책략.련속접충적계통중,연구료무병평형점적국부점근은정성화지방병평형점적전국점근은정성;맥충작용하적전염병모형,이용맥충비교정리화미분불등식득도료무병주기해적전국흡인성적조건,최후대량류접충진행료비교병득출결론.
In this paper,two vaccination strategies about delayed equations were studied .In the model with continuous vaccina-tion,the local stability of a diseasr-free equilibrium and the global stability of a endemic equilibrium were studied .A pulse under the action of infectious disease model was considered ,using the comparison principle and pulse differential inequality , the global attractivity of infection -free period solution and the sufficient conditions for permanence of the disease were ob -tained.Finally,the two vaccination strategies were compared and relevant conclusions were obtained .