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Journal of Nonlinear Systems and Applications (2012) 000–000
Copyright c 2012 Watam Press                                                        http://www.watam.org/JNSA/


       VOLTERRA–TYPE LYAPUNOV FUNCTION FOR VIRUS
      DYNAMICS MODELS WITH LINEAR IMMUNE RESPONSE
                                                                              ∗†‡
                                                      Cruz Vargas-De-Le´n
                                                                       o


Abstract. By means of Volterra-type Lyapunov functions, we es-
tablish the global stability of the steady state of two models of viral
infections with linear immune response.
Keywords. Virus dynamics models, Immune response, Global sta-
bility, Method of Lyapunov functions, LaSalle’s invariance principle.




  ∗ Unidad Acad´mica de Matem´ticas, Universidad Aut´noma de
                 e              a                         o
Guerrero, M´xico.
             e
  † Facultad de Estudios Superiores Zaragoza, UNAM, M´xico. E-
                                                           e
mails: leoncruz82@yahoo.com.mx
  ‡ Manuscript received March 16, 2012; revised ..... 00, 0000.




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Volterra-type Lyapunov function for virus dynamics models with linear immune response

  • 1. Journal of Nonlinear Systems and Applications (2012) 000–000 Copyright c 2012 Watam Press http://www.watam.org/JNSA/ VOLTERRA–TYPE LYAPUNOV FUNCTION FOR VIRUS DYNAMICS MODELS WITH LINEAR IMMUNE RESPONSE ∗†‡ Cruz Vargas-De-Le´n o Abstract. By means of Volterra-type Lyapunov functions, we es- tablish the global stability of the steady state of two models of viral infections with linear immune response. Keywords. Virus dynamics models, Immune response, Global sta- bility, Method of Lyapunov functions, LaSalle’s invariance principle. ∗ Unidad Acad´mica de Matem´ticas, Universidad Aut´noma de e a o Guerrero, M´xico. e † Facultad de Estudios Superiores Zaragoza, UNAM, M´xico. E- e mails: leoncruz82@yahoo.com.mx ‡ Manuscript received March 16, 2012; revised ..... 00, 0000. 0