CAJ | 학술논문

考虑了CD4＋T细胞的全logistic自我繁殖,构造了具有治疗的HIV病理研究模型,研究了解的存在性、正性及稳定性.通过对每个感染T细胞释放的HIV病毒平均数量N的讨论,得到：如果NNcrit,有无病平衡点和地方病平衡点两个平衡点,但此时无病平衡点不稳定,地方病平衡点是局部渐近稳定的.最后通过构造Dulac-Bendison函数,得到了地方病平衡点全局稳定的条件.
고필료CD4＋T세포적전logistic자아번식,구조료구유치료적HIV병리연구모형,연구료해적존재성、정성급은정성.통과대매개감염T세포석방적HIV병독평균수량N적토론,득도：여과NNcrit,유무병평형점화지방병평형점량개평형점,단차시무병평형점불은정,지방병평형점시국부점근은정적.최후통과구조Dulac-Bendison함수,득도료지방병평형점전국은정적조건.
HIV virus,which invade the human body,mostly parasitic in the T cells,where they transcribe RNA,duplicate,then generate some new ones,at last kill the infected T cells,released from them.According to this we divide the species in this paper into three kinds：uninfected T cells,infected T cells and HIV.Only uninfected T cells can be created by body,others can＇t increase because of external input.Being predator,HIV just add from infected T cells.We have proved that if NNcrit,the uninfected steady state is locally asymptotically stable,if NNcrit,the infected steady state is locally asymptotically stable.Both of them are globally asymptotically stable if one condition is satisfied.