The Asymptotic Behavior in a Nonlinear Cobweb Model with Time Delays

Global Asymptotic Behavior of a Chemostat Model with Discrete Delays

This paper studies the global asymptotic behavior of an exploitative competition model between n species in a chemostat. The model incorporates discrete time delays to describe the delay in the conversion of nutrient consumed to viable biomass and hence includes delays simultaneously in variables of nutrient and species concentrations. In the case where only two species are engaged in competiti...

Asymptotic Behavior of Multivariate Reward Processes with Nonlinear Reward Functions

The Asymptotic Solutions for a Class of Nonlinear Singular Perturbed Differential Systems with Time delays

We study a kind of vector singular perturbed delay-differential equations. By using the methods of boundary function and fractional steps, we construct the formula of asymptotic expansion and confirm the interior layer at t = σ. Meanwhile, on the basis of functional analysis skill, the existence of the smooth solution and the uniform validity of the asymptotic expansion are proved.

Global Asymptotic and Exponential Stability of Tri-Cell Networks with Different Time Delays

In this paper‎, ‎a bidirectional ring network with three cells and different time delays is presented‎. ‎To propose this model which is a good extension of three-unit neural networks‎, ‎coupled cell network theory and neural network theory are applied‎. ‎In this model‎, ‎every cell has self-connections without delay but different time delays are assumed in other connections‎. ‎A suitable Lyapun...

Design of a Model Based Compensator for MIMO Systems with Time Delays and Constrained Inputs