Dynamical behavior of a delay virus dynamics model with CTL immune response

In this paper,we study the stability of the equilibria of a delay virus dynamics model with CTL immune response by Hurwitz Criterion.And the discrete delay of the model describes the time between initial infection of a cell by HIV and the release of new virions.We study the effect of the time delay on the stability of infected steady state,conditions are given to ensure that the infected steady state is locally asymptotically stable for all delay. Numerical simulations are presented to ill ustrate the results.

Transient Process of Transport Through a Quantum Dot in a Stepped Bias: a Numerical Approach

The time evolution of the current though a quantum dot responding to a stepped bias voltage is studied by a numerical approach in the mixed-valence regime and the Kondo regime. Our numerical results show the quasiperiodic oscillations of the current with a short damping time. When the deviation of the Fermi energy from the resonant dot level is increased by changing the gate voltage, the frequency of the oscillations is increased, but the average current decreases. The results also show a relatively slow oscillation in the Kondo regime.

GLOBAL ASYMPTOTIC STABLE ERADICATION FOR THE SIV EPIDEMIC MODEL WITH IMPULSIVE VACCINATION AND INFECTION-AGE

We study the application of a pulse vaccination strategy to eradicate the slowly progressing diseases that have infectiousness in latent period. We derive the condition in which eradication solution is a global attractor, this condition depends on pulse vaccination proportion p. We also obtain the condition of the global asymptotic stability of the solution. The condition shows that large enough pulse vaccination proportion and relatively small interpulse time lead to the eradication of the diseases. Moreover the results of the theoretical study might be instructive to the epidemiology of HIV.

EXISTENCE AND UNIQUENESS OF ENDEMIC STATES FOR THE AGE-STRUCTURED SEIR EPIDEMIC MODEL

An age-structured SEIR epidemic model of a vertically as well as horizontally transmitted disease is investigated. Threshold results for the existence of endemic states are established for most cases. Under certain conditions, uniqueness is also shown. Threshold used are explicitly computable in term of demographic and epiderniological parameters of the model.

on the Stability of Positive C_(0)-Semigroup of Operators on L^(p)(Ω),1≤p≤∞

In this paper we obtain a characterization of C_0-semigroup on L^P(Ω)space, 1<p<∞,then extend some important results on L^2(Ω)to L^P(Ω)space,1<p<∞.We also prove the equality S(A)=w_0 for positive C_0-semigroup on L^P(Ω),1≤p≤∞,so the open prob- lem in[3—8]has an affirmative answer.

Existence of Positive Periodic Solutions for the SIV Epidemic Model with Impulsive Vaccination and Infection-Age

In this paper, we discuss the SIV epidemic model with impulsive vaccination and infection-age. Bifurcation theory and Lyapunov-Schmidt series expansion are used to show the existence of the positive periodic solutions under some conditions.