کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4629960 | 1340590 | 2012 | 7 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Global stability for a delayed HIV-1 infection model with nonlinear incidence of infection Global stability for a delayed HIV-1 infection model with nonlinear incidence of infection](/preview/png/4629960.png)
In this paper, a delayed HIV-1 infection model with nonlinear incidence of infection is reinvestigated. It is shown that if the reproduction number R>1R>1, then the system is permanent, and the infective equilibrium of the system is globally asymptotically stable. Thus, the global dynamics of the system is completely determined by the reproduction number RR. The results obtained enrich and improve the corresponding results given by Wang et al. [X. Wang, Y. Tao, X. Song, A delayed HIV-1 infection model with Beddington–DeAngelis functional response, Nonlinear Dynamics 62 (2010) 67–72]. The conclusions we established also verify the numerical simulation results on the global asymptotic stability of the infective equilibrium in the paper [D. Li, W. Ma, Asymptotic properties of an HIV-1 infection model with time delay, J. Math. Anal. Appl. 335 (2007) 683–691].
Journal: Applied Mathematics and Computation - Volume 219, Issue 2, 1 October 2012, Pages 617–623