本文選題：全局穩(wěn)定性　切入點(diǎn)：時(shí)滯　出處：《應(yīng)用數(shù)學(xué)學(xué)報(bào)》2017年01期

【摘要】：本文研究了具有一般復(fù)發(fā)現(xiàn)象和非線性發(fā)生率的疾病模型的動(dòng)力學(xué)性質(zhì),其中模型是具有無(wú)窮分布時(shí)滯的微積分方程.該模型描述了包含皰疹等傳染病的—般復(fù)發(fā)現(xiàn)象.利用一致持久性理論和李雅普諾夫函數(shù),我們證明了基本再生數(shù)R_0決定的系統(tǒng)的全局動(dòng)力學(xué)性質(zhì):當(dāng)R_0≤1時(shí),疾病滅絕;當(dāng)R_01時(shí),疾病持久生存,并且正平衡點(diǎn)是全局吸引的.
[Abstract]:In this paper, the dynamical properties of a disease model with general recurrence and nonlinear incidence are studied, in which the model is a calculus equation with infinite distributed delay.The model describes the recurrence of infectious diseases including herpes.By using the uniform persistence theory and Lyapunov function, we prove the global dynamical properties of the system determined by the basic reproducing number R _ S _ 0: when R _ 0 鈮，

本文編號(hào)：1730198