Results 51 to 60 of about 168,344 (183)
Global Asymptotic Stability for a Fourth-Order Rational Difference Equation
Discrete Dynamics in Nature and Society, 2009 Our aim is to investigate the global behavior of the following fourth-order rational difference equation: 𝑥𝑛+1=(𝑥𝑛𝑥𝑛−2𝑥𝑛−3+𝑥𝑛+𝑥𝑛−2+𝑥𝑛−3+𝑎)/(𝑥𝑛𝑥𝑛−2+𝑥𝑛𝑥𝑛−3+𝑥𝑛−2𝑥𝑛−3+1+𝑎), 𝑛=0,1,2,… where 𝑎∈[0,∞) and the initial values
Meseret Tuba Gülpinar, Mustafa Bayram
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Chaos Theory and Applications, 2022 A fractional-order Leslie-Gower prey-predator-parasite system with delay is proposed in this article. The existence and uniqueness of the solutions, as well as their non-negativity and boundedness, are studied.
Liguo Yuan, Xiaoting Yang, Zhouchao Wei
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On imitation dynamics in potential population games
, 2017 Imitation dynamics for population games are studied and their asymptotic properties analyzed. In the considered class of imitation dynamics - that encompass the replicator equation as well as other models previously considered in evolutionary biology ...
Como, Giacomo +2 more
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Journal of Control Science and Engineering, 2011 This paper addresses the problem of global asymptotic stability of a class of discrete uncertain state-delayed systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model using generalized overflow nonlinearities.
Anurita Dey, Haranath Kar
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Global asymptotic stability for plane polynomial flows [PDF]
Časopis pro pěstování matematiky, 1986 The authors consider a two-dimensional system of ODE and, using a theorem regarding stability of polynomial flows, prove that if the trace of the Jacobian matrix is negative and its determinant is positive, then the asymptotic stability is assured.
Meisters, Gary H., Olech, Czesław
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Global stability of a predator-prey model with Beddington–DeAngelis and Tanner functional response
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper, we study the global stability of a predator–prey system with Beddington–DeAngelis and Tanner functional response. By using the iteration method and comparison principle, we prove the global asymptotic stability of the unique positive ...
Nai-Wei Liu, Na Li
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Global Asymptotic Stability in Some Discrete Dynamical Systems
Journal of Mathematical Analysis and Applications, 1999 The paper deals with the stability of the equilibrium of a discrete dynamical system \(x_{n+1}=Tx_n\) in a metric space \((M,d)\). Under some natural conditions the authors show that the unique equilibrium is globally asymptotically stable. Taking for \(d\) the part-metric, the authors obtain the strong negative feedback property as a special case ...
Kruse, Nicole, Nesemann, Tim
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Mathematics, 2020 In this article existence and uniqueness of the solutions of the initial problem for neutral nonlinear differential system with incommensurate order fractional derivatives in Caputo sense and with piecewise continuous initial function is proved.
Andrey Zahariev, Hristo Kiskinov
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Cauchy problem for the Boltzmann-BGK model near a global Maxwellian
, 2010 In this paper, we are interested in the Cauchy problem for the Boltzmann-BGK model for a general class of collision frequencies. We prove that the Boltzmann-BGK model linearized around a global Maxwellian admits a unique global smooth solution if the ...
Cercignani C. +4 more
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Uniform Asymptotic Stability and Global Asymptotic Stability for Time-Delay Hopfield Neural Networks [PDF]
, 2012 In this paper, we consider the uniform asymptotic stability and global asymptotic stability of the equilibrium point for time-delays Hopfield neural networks. Some new criteria of the system are derived by using the Lyapunov functional method and the linear matrix inequality approach for estimating the upper bound of the derivative of Lyapunov ...
Arbi, Adnene +2 more
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