General results on the existence and global exponential stability of periodic solutions for generalized shunting inhibitory cellular neural networks with delays.
Generalization of the Kermack-McKendrick SIR Model to a Patchy Environment for a Disease with Latency
In this paper, with the assumptions that an infectious disease has a fixed latent period in a population and the latent individuals of the population may disperse, we reformulate an SIR model for the population living in two patches (cities, towns, or countries etc.), which is a generalization of the classic Kermack-McKendrick SIR model. The model is given by a system of delay differential equations with a fixed delay accounting for the latency and non-local terms caused by the mobility of the...
Geometric dynamics of calcium oscillations ODEs systems.
Ger-type and Hyers--Ulam stabilities for the first-order linear differential operators of entire functions.
Gleichmäßig asymptotische Stabilität stationäre Punkte bei Differential-Differenzengleichungen.
Global attractivity for a differential-difference population model.
Global attractivity of positive periodic solutions of delay differential equations with feedback control.
Global dynamics of a delay differential system of a two-patch SIS-model with transport-related infections
We describe the global dynamics of a disease transmission model between two regions which are connected via bidirectional or unidirectional transportation, where infection occurs during the travel as well as within the regions. We define the regional reproduction numbers and the basic reproduction number by constructing a next generation matrix. If the two regions are connected via bidirectional transportation, the basic reproduction number characterizes the existence of equilibria as well as...
Global Existence and Stability for Neutral Functional Evolution Equations with State-Dependent Delay
In this paper we prove the global existence and attractivity of mild solutions for neutral semilinear evolution equations with state-dependent delay in a Banach space.
Global existence and stability of some semilinear problems
We prove global existence and stability results for a semilinear parabolic equation, a semilinear functional equation and a semilinear integral equation using an inequality which may be viewed as a nonlinear singular version of the well known Gronwall and Bihari inequalities.
Global existence results for second order neutral functional differential equation with state-dependent delay
Our aim in this work is to provide sufficient conditions for the existence of global solutions of second order neutral functional differential equation with state-dependent delay. We use the semigroup theory and Schauder's fixed point theorem.
Global exponential stability of almost periodic solutions for a delayed single population model with hereditary effect
This paper is concerned with a delayed single population model with hereditary effect. Under appropriate conditions, we employ a novel argument to establish a criterion of the global exponential stability of positive almost periodic solutions of the model. Moreover, an example and its numerical simulation are given to illustrate the main result.
Global exponential stability of delayed Cohen-Grossberg BAM neural networks with impulses on time scales.
Global exponential stability of impulsive dynamical systems with distributed delays.
Global exponential stability of impulsive functional differential equations via Razumikhin technique.
Global exponential stability of periodic oscillation for nonautonomous BAM neural networks with distributed delay.
Global stability for a delayed predator-prey system with stage structure for the predator.
Global stability of delayed Hopfield neural networks under dynamical thresholds.
Global stability of polytopic linear time-varying dynamic systems under time-varying point delays and impulsive controls.
Global stability of sets for impulsive differential-difference equations by Lyapunov's direct method