Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지
DOI QR코드

DOI QR Code

ESTIMATING THE DOMAIN OF ATTRACTION OF HIV-1 SYSTEM BASED ON MOMENT METHOD

  • LI, CHUNJI (Department of Mathematics, Northeastern University) ;
  • YAO, HAN (Department of Mathematics, Northeastern University)
  • 투고 : 2018.04.13
  • 심사 : 2018.06.08
  • 발행 : 2018.09.30
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this article, we discuss the domain of attraction of HIV-1 system by using the moment theory. First, the asymptotic stabilities of the equilibrium point of the system are given, and then we introduce how to use the moment method to estimate domain of attraction. Finally, one simulation shows the effectiveness of moment method.

키워드

참고문헌

  1. X. Chen, C. Li, J. Lu and Y. Jing, The domain of attraction for a SEIR epidemic model based on sum of square optimization, Bull. Korean Math. Soc. 49(2012), no. 3, 517-528. https://doi.org/10.4134/BKMS.2012.49.3.517
  2. W. Cheng, W. Ma and S. Guo, Estimation of the attractive region of a class of delayed virus dynamics model with apoptosis of uninfected T cells by infected T cells, J. Sichuan Normal Univ. Nat. Sci. Ed. 39(2016), no. 2, 202-208.
  3. O. Hachicho, A noble LMI-based optimization algorithm for the guaranteed estimation of the domain of attraction using rational Lyapunov functions, J. Franklin Inst. 344(2007), no. 5, 535-552. https://doi.org/10.1016/j.jfranklin.2006.02.032
  4. C. Li, W. Wang and C.S. Ryoo, Estimating the domain of attraction of tumor-immune system based moment method, Far East J. Math. Sci. 100(2016), no. 11, 1951-1963.
  5. C. Li, C.S. Ryoo, N. Li and L. Cao, Estimating the domain of attraction via moment matrices, Bull. Korean Math. Soc. 46(2009), no. 6, 1237-1248. https://doi.org/10.4134/BKMS.2009.46.6.1237
  6. J.B. Lasserre, Global optimization with polynomials and the problem of moments, SIAM J. Optim. 11(2001), no. 3, 796-817. https://doi.org/10.1137/S1052623400366802
  7. M.A. Nowak and C.R. Bangham, Population dynamics of immune responses to persistent viruses, Science 272(1996), 74-79. https://doi.org/10.1126/science.272.5258.74