Global threshold dynamics in a five-dimensional virus model with cell-mediated, humoral immune responses and distributed delays

摘要: In this paper, we investigate the dynamics of a five-dimensional virus model with immune responses and an intracellular delay which describes interactions HIV virus, CD4 cells CTLs within host, is improvement some existing models by incorporating (i) two distributed kernels reflecting variance time for to invade into invaded virions reproduce cells; (ii) nonlinear incidence function f infections, (iii) antibody responses, are implemented functioning immunocompetent B lymphocytes, play critical role in preventing modulating infections. By constructing Lyapunov functionals subtle estimates derivatives these functionals, show that global determined reproductive numbers viral infection R"0, CTL response R"1, R"2, competition R"3 R"4. The stability precludes existence Hopf bifurcation other complex dynamical behaviors long time. Numerical simulations also performed order illustrate behavior.