Results 21 to 30 of about 132,438 (286)
Uniform Asymptotic Stability of Delay Differential Equations with Amnesia
Journal of Mathematical Analysis and Applications, 1995 The authors consider the problem of uniform asymptotic stability for a class of delay differential equations, where the most recent past does not affect the evolution of the system. They call them delay differential equations with amnesia. The authors introduce the following definition: A delay differential equation with amnesia is an equation of the ...
Karakostas, G., Sficas, Y.
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Electronic Journal of Qualitative Theory of Differential Equations, 2015 We present such a restriction on parameters of linear functional differential equations of retarded type that is sufficient for the uniform asymptotic stability of an equation to be equivalent to its exponential stability.
Andrew Kulikov, Vera Malygina
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A time-delayed predator-prey model with fear effect and stage structure
Xi'an Gongcheng Daxue xuebao, 2021 The stability of a predator-prey model with two-stage structure and fear effect was studied. This model incorporated maturation time delay of the prey, and a delay differential equation model was established.
Bairu LIU, Junli LIU, Pan LYU
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Stability analysis of a fractional-order two-species facultative mutualism model with harvesting
Advances in Difference Equations, 2017 We present a fractional-order model of two-species facultative mutualism with harvesting. We investigate the stability of the equilibrium points of the model by using the linearization method for noncoexistence of equilibrium points and the Lyapunov ...
Nattakan Supajaidee, Sompop Moonchai
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Advances in Difference Equations, 2021 This manuscript is involved in the study of stability of the solutions of functional differential equations (FDEs) with random coefficients and/or stochastic terms.
Abdulwahab Almutairi +3 more
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Uniform asymptotic stability of a fractional tuberculosis model [PDF]
Mathematical Modelling of Natural Phenomena, 2018 We propose a Caputo type fractional-order mathematical model for the transmission dynamics of tuberculosis (TB). Uniform asymptotic stability of the unique endemic equilibrium of the fractional-order TB model is proved, for anyα∈ (0, 1). Numerical simulations for the stability of the endemic equilibrium are provided.
Weronika Wojtak +2 more
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New approach to asymptotic stability: time-varying nonlinear systems
International Journal of Mathematics and Mathematical Sciences, 1997 The results of the paper concern a broad family of time-varying nonlinear systems with differentiable motions. The solutions are established in a form of the necessary and sufficient conditions for: 1) uniform asymptotic stability of the zero state, 2 ...
L. T. Grujić
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Stabilization by Unbounded-Variation Noises
, 2015 In this paper, we claim the availability of deterministic noises for stabilization of the origins of dynamical systems, provided that the noises have unbounded variations. To achieve the result, we first consider the system representations based on rough
Nishimura, Yuki
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Bifurcation of Localized Disturbances in a Model Biochemical Reaction [PDF]
, 1976 Asymptotic solutions are presented to the nonlinear parabolic reaction-diffusion equations describing a model biochemical reaction proposed by I. Prigogine.
Boa, James A., Cohen, Donald S.
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Mathematics, 2023 In this article, some new sufficient conditions for the exponential stability of nonlinear time-varying delay differential equations are given. An extension of the classical asymptotical stability theorem in terms of a Lyapunov–Razumikhin function is ...
Natalya O. Sedova, Olga V. Druzhinina
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