Global stability and periodic solution of the viral dynamics

X Song, AU Neumann - Journal of Mathematical Analysis and Applications, 2007 - Elsevier
… By stability analysis we obtain sufficient conditions on the parameters for the global stability
of the … stable periodic solution. Numerical simulations are presented to illustrate the results. …

Global stability and periodic solution of a model for HIV infection of CD4+ T cells

X Wang, X Song - Applied Mathematics and Computation, 2007 - Elsevier
… We carry out numerical simulations using Matlab to illustrate such a change in stability.
Meanwhile, our numerical simulations consistently show the existence of periodic solutions when …

Global stability and periodic solution of a viral dynamic model

E Coşkun - Süleyman Demirel University Faculty of Arts and …, 2009 - dergipark.org.tr
periodic solutions may exist. We establish parameter regions for which * 1 E is globally
stable… that system (1) has the property of stability of periodic orbits. In the following, we prove it. …

Existence and global stability of a periodic solution for a cellular neural network

L Wang, J Zhang, H Shao - … in Nonlinear Science and Numerical Simulation, 2014 - Elsevier
… existence of periodic solution for CNNs is derived. Moreover, a generalized Lyapunov–Krasovskii
functional is designed to guarantee the global stability of the existed periodic solution. …

Impulsive control for existence, uniqueness, and global stability of periodic solutions of recurrent neural networks with discrete and continuously distributed delays

X Li, S Song - IEEE Transactions on neural networks and …, 2013 - ieeexplore.ieee.org
… , and global stability of periodic solutions are obtained. The … they will admit a periodic solution
which is globally stable via the … , uniqueness, and global stability of periodic solution for the …

On the uniqueness and global asymptotic stability of periodic solutions for a third order system

SP Hastings - The Rocky Mountain Journal of Mathematics, 1977 - JSTOR
… nature of the solution in doubt… stability of the solution in a small region containing the trajectory.
I know of very few examples where global asymptotic orbital stability of a periodic solution

A global stability analysis of the steady and periodic cylinder wake

BR Noack, H Eckelmann - Journal of Fluid Mechanics, 1994 - cambridge.org
… The periodic solution is observed to be only neutrally stable for … The periodic solution becomes
unstable at Re = 170 by a … leads to a threedimensional periodic flow. Finally the transition …

Generating globally stable periodic solutions of delayed neural networks with periodic coefficients via impulsive control

WH Chen, S Luo, WX Zheng - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
… state that generates a globally stable periodic solution? … , uniqueness, and globally
exponential stability of impulsively … the considered ICDNN is exponentially incrementally stable. …

Global stability and periodic solution of a model for HTLV-I infection and ATL progression

X Song, Y Li - Applied mathematics and computation, 2006 - Elsevier
… By stability analysis we obtained the condition for the infected T cells … is globally stable in
the interior of the feasible region. … P 0 is unstable and P 1 is globally stable in Γ⧹{(T, 0, 0, 0) : 0 …

[PDF][PDF] Permanence and global stability of positive periodic solutions of a discrete competitive system

W Qin, Z Liu, Y Chen - Discrete Dynamics in Nature and …, 2009 - emis.dsd.sztaki.hu
… a periodic system, and then we investigate the existence and global stability of positive periodic
solutions … To do this, assume that all the coefficients of system 1.2 are ω-periodic, in other …