应用数学
應用數學
응용수학
MATHEMATICA APPLICATA
2011年
3期
456-461
,共6页
时滞%全局稳定性%Lyapunov泛函%HIV-1病毒
時滯%全跼穩定性%Lyapunov汎函%HIV-1病毒
시체%전국은정성%Lyapunov범함%HIV-1병독
Time delay%Global stability%Lyapunov functional%HIV-1 virus
重新考虑了一类带有时滞的HIV-1感染模型.运用Hale和Waltmann持续生存理论,得到了再生数R＞1,系统中种群是持续生存的；通过构造Lyapunov泛函,证明了系统中平衡态的全局稳定性.得到了再生数R＞1能够完全确定模型全局动力学性质.
重新攷慮瞭一類帶有時滯的HIV-1感染模型.運用Hale和Waltmann持續生存理論,得到瞭再生數R＞1,繫統中種群是持續生存的；通過構造Lyapunov汎函,證明瞭繫統中平衡態的全跼穩定性.得到瞭再生數R＞1能夠完全確定模型全跼動力學性質.
중신고필료일류대유시체적HIV-1감염모형.운용Hale화Waltmann지속생존이론,득도료재생수R＞1,계통중충군시지속생존적；통과구조Lyapunov범함,증명료계통중평형태적전국은정성.득도료재생수R＞1능구완전학정모형전국동역학성질.
In this paper,a delayed HIV-1 infection model with time delay is reinvestigated.By applying Hale and Waltmann's persistence theory,it is shown that if the reproduction number R ＞ 1,system is permanent; By constructing Lyapunov functional,the global stability of the equilibria in the model is proved.It is found that the global dynamics of the system is completely determined by the reproduction number R.
