The Dynamics of an Impulsive Competitive System with Infinite Delay and Diffusion

Impulsive Exponential Stabilization of Functional Differential Systems with Infinite Delay

Reaction-diffusion Equations with Infinite Delay

We have developed several results on the existence and asymptotic behavior of nlild solutions to rextiondiffusion systems that have infinite delirys in the nonlinear reaction terms. We find that the semiflow generated by a cooperative and irreducible reaction-tliffilsio system with infinite delay is not compact but set-condcrrsing, ancl not strongly order-preserving but quasi strongly ordc~r-1)...

Stability results for impulsive functional differential equations with infinite delay

For a family of differential equations with infinitive delay and impulses, we establish conditions for the existence of global solutions and for the global asymptotic and global exponential stabilities of an equilibrium point. The results are used to give stability criteria for a very broad family of impulsive neural network models with both unbounded distributed delays and bounded time-varying...

the evaluation of language related engagment and task related engagment with the purpose of investigating the effect of metatalk and task typology

abstract while task-based instruction is considered as the most effective way to learn a language in the related literature, it is oversimplified on various grounds. different variables may affect how students are engaged with not only the language but also with the task itself. the present study was conducted to investigate language and task related engagement on the basis of the task typolog...

Persistence and Extinction of an Impulsive Stochastic Logistic Model with Infinite Delay

Abstract This paper considers an impulsive stochastic logistic model with infinite delay at the phase space Cg . Firstly, the definition of solution to an impulsive stochastic functional differential equation with infinite delay is established. Based on this definition, we show that our model has a unique global positive solution. Then we establish the sufficient conditions for extinction, nonp...