Results 21 to 30 of about 700,958 (287)
Stability of Stochastic Differential Delay Systems with Delayed Impulses [PDF]
Abstract and Applied Analysis, 2014 We investigate the stability of stochastic delay differential systems with delayed impulses by Razumikhin methods. Some criteria on thepth moment and almost sure exponential stability are obtained. It is shown that an unstable stochastic delay system can be successfully stabilized by delayed impulses.
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Linear Analysis of an Integro-Differential Delay Equation Model
International Journal of Differential Equations, 2018 This paper presents a computational study of the stability of the steady state solutions of a biological model with negative feedback and time delay. The motivation behind the construction of our system comes from biological gene networks and the model ...
Anael Verdugo
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Mathematics, 2019 Fractional integro-differential equations arise in the mathematical modeling of various physical phenomena like heat conduction in materials with memory, diffusion processes, etc.
Hamdy M. Ahmed +3 more
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Existence and Ulam Type Stability for Impulsive Fractional Differential Systems with Pure Delay
Fractal and Fractional, 2022 Through literature retrieval and classification, it can be found that for the fractional delay impulse differential system, the existence and uniqueness of the solution and UHR stability of the fractional delay impulse differential system are rarely ...
Chaowen Chen, Mengmeng Li
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Numerical Study for Time Delay Multistrain Tuberculosis Model of Fractional Order
Complexity, 2017 A novel mathematical fractional model of multistrain tuberculosis with time delay memory is presented. The proposed model is governed by a system of fractional delay differential equations, where the fractional derivative is defined in the sense of the ...
Nasser Hassan Sweilam +2 more
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Modeling delay in genetic networks: From delay birth-death processes to delay stochastic differential equations [PDF]
, 2014 Delay is an important and ubiquitous aspect of many biochemical processes. For example, delay plays a central role in the dynamics of genetic regulatory networks as it stems from the sequential assembly of first mRNA and then protein.
Chinmaya Gupta +7 more
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Ain Shams Engineering Journal, 2015 In this paper, we have presented a computational method for solving singularly perturbed delay differential equations with twin layers or oscillatory behaviour. In this method, the original second order singularly perturbed delay differential equation is
D. Kumara Swamy +3 more
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Controllability and Hyers–Ulam Stability of Differential Systems with Pure Delay
Mathematics, 2022 Dynamic systems of linear and nonlinear differential equations with pure delay are considered in this study. As an application, the representation of solutions of these systems with the help of their delayed Mittag–Leffler matrix functions is used to ...
Ahmed M. Elshenhab, Xingtao Wang
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Multiple Positive Periodic Solutions for Delay Differential System
Discrete Dynamics in Nature and Society, 2009 We obtain some existence results for multiple positive periodic solutions of some delay differential systems. Examples are presented as applications. For a general positive integer m≥2, main results of this paper do not appear in former literatures as we
Zhao-Cai Hao, Ti-Jun Xiao, Jin Liang
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Self-similarity in a system with short-time delayed feedback [PDF]
, 1999 Using the Poincar\'{e} section technique, we study in detail the dynamical behaviors of delay differential system and find a new type of solutions $S_i$ in short-time delay feedback.
Li, H. B. +4 more
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