Huaixing Li

TL;DR: In this article, applying two types of Lyapunov functional techniques to an SIRS epidemic model with graded cure and incomplete recovery rates, the authors established complete global dynamics of the model whose threshold parameter is the basic reproduction number R 0 such that the disease-free equilibrium is globally asymptotically stable when R 0 ⩽ 1, and the endemic equilibrium was globally stable when r 0 > 1.

TL;DR: Applying monotone iterative techniques and Lyapunov functional techniques, sufficient conditions are established for the global asymptotic stability of both virus-free and virus equilibria of the model.

TL;DR: This paper establishes that the global dynamics of a delayed HTLV-I infection model with a class of nonlinear incidence rates and CTLs immune response are completely determined by two basic reproduction numbers R"0>R"0^*,.

TL;DR: For a class of differential equations with piecewise constant delay, the authors established sufficient conditions for the unique positive equilibrium to be globally asymptotically stable, which improved the results obtained by the contractivity method and extend the recent result on Gopalsamy and Liu's conjecture to a non-autonomous case.

TL;DR: In this article, the authors derived three types of sufficient conditions for the global asymptotic stability of solution for a non-autonomous logistic equation with a piecewise constant delay.