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Impulsive Reaction-Diffusion Delayed Models in Biology: Integral Manifolds Approach
(2021-12-03)
In this paper we study an impulsive delayed reaction-diffusion model applied in biology. The introduced model generalizes existing reaction-diffusion delayed epidemic models to the impulsive case. The integral manifolds ...
Lyapunov Approach for Almost Periodicity in Impulsive Gene Regulatory Networks of Fractional Order with Time-Varying Delays
(2021-12-09)
This paper investigates a class of fractional-order delayed impulsive gene regulatory networks (GRNs). The proposed model is an extension of some existing integer-order GRNs using fractional derivatives of Caputo type. The ...
Impulsive Delayed Lasota–Wazewska Fractional Models: Global Stability of Integral Manifolds
(10/31/2019)
In this paper we deal with the problems of existence, boundedness and global stability of integral manifolds for impulsive Lasota–Wazewska equations of fractional order with time-varying delays and variable impulsive ...
On the Stability with Respect to H-Manifolds for Cohen–Grossberg-Type Bidirectional Associative Memory Neural Networks with Variable Impulsive Perturbations and Time-Varying Delays
(3/3/2020)
The present paper is devoted to Bidirectional Associative Memory (BAM) Cohen–Grossberg-type impulsive neural networks with time-varying delays. Instead of impulsive discontinuities at fixed moments of time, we consider ...
Stability of Sets Criteria for Impulsive Cohen-Grossberg Delayed Neural Networks with Reaction-Diffusion Terms
(12/21/2019)
The paper proposes an extension of stability analysis methods for a class of impulsive reaction-diffusion Cohen-Grossberg delayed neural networks by addressing a challenge namely stability of sets. Such extended concept ...
Impulsive Fractional Cohen-Grossberg Neural Networks: Almost Periodicity Analysis
(2021-07-27)
In this paper, a fractional-order Cohen–Grossberg-type neural network with Caputo fractional derivatives is investigated. The notion of almost periodicity is adapted to the impulsive generalization of the model. General ...
Impulsive Fractional-Like Differential Equations: Practical Stability and Boundedness with Respect to h-Manifolds
(11/7/2019)
In this paper, an impulsive fractional-like system of differential equations is introduced. The notions of practical stability and boundedness with respect to <i>h</i>-manifolds for fractional-like differential equations ...
Practical Stability with Respect to h-Manifolds for Impulsive Control Functional Differential Equations with Variable Impulsive Perturbations
(7/21/2019)
The present paper is devoted to the problems of practical stability with respect to <i>h</i>-manifolds for impulsive control differential equations with variable impulsive perturbations. We will consider these problems in ...
Design and Practical Stability of a New Class of Impulsive Fractional-Like Neural Networks
(3/15/2020)
In this paper, a new class of impulsive neural networks with fractional-like derivatives is defined, and the practical stability properties of the solutions are investigated. The stability analysis exploits a new type of ...
Global Stability of Integral Manifolds for Reaction–Diffusion Delayed Neural Networks of Cohen–Grossberg-Type under Variable Impulsive Perturbations
(7/3/2020)
The present paper introduces the concept of integral manifolds for a class of delayed impulsive neural networks of Cohen–Grossberg-type with reaction–diffusion terms. We establish new existence and boundedness ...