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Global convergence dynamics of almost periodic delay Nicholson's blowflies systems
Journal of Biological Dynamics, 2020 We take into account nonlinear density-dependent mortality term and patch structure to deal with the global convergence dynamics of almost periodic delay Nicholson's blowflies system in this paper.
Chuangxia Huang, Renli Su, Yuhui Hu
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Asymptotic properties and convolutions of some almost periodic functions with applications
Annali di Matematica Pura ed Applicata (1923 -), 2022 AbstractIn this note we are going to continue investigation concerning the asymptotic behavior of some Levitan almost periodic functions or almost periodic functions in view of the Lebesgue measure as well as their convolutions with some functions naturally arising in the theory of ordinary linear differential equations.
Dariusz Bugajewski +2 more
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Journal of Inequalities and Applications, 2020 In this paper, we consider nonlinear density-dependent mortality Nicholson’s blowflies system involving patch structures and asymptotically almost periodic environments.
Chaofan Qian, Yuhui Hu
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Asymptotically Almost Periodic Solutions for a Class of Stochastic Functional Differential Equations [PDF]
Abstract and Applied Analysis, 2014 This work is concerned with the quadratic-mean asymptotically almost periodic mild solutions for a class of stochastic functional differential equationsdxt=Atxt+Ft,xt,xtdt+H(t,xt,xt)∘dW(t). A new criterion ensuring the existence and uniqueness of the quadratic-mean asymptotically almost periodic mild solutions for the system is presented. The condition
Liu, Aimin, Liu, Yongjian, Liu, Qun
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Statistical properties of the method of regularization with periodic Gaussian reproducing kernel [PDF]
, 2004 The method of regularization with the Gaussian reproducing kernel is popular in the machine learning literature and successful in many practical applications. In this paper we consider the periodic version of the Gaussian kernel regularization.
Brown, Lawrence D., Lin, Yi
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A Delay Almost Periodic Competitive System in Discrete Time
Discrete Dynamics in Nature and Society, 2015 A discrete almost periodic competitive system with delay is proposed and analyzed. The system admits a unique almost periodic solution, which is shown to be uniformly asymptotically stable by using the method of Lyapunov function. Some specific numerical
Ronghua Tan, Lvli Liao
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Almost Periodic Solution of a Multispecies Discrete Mutualism System with Feedback Controls
Discrete Dynamics in Nature and Society, 2015 We consider an almost periodic multispecies discrete Lotka-Volterra mutualism system with feedback controls. We firstly obtain the permanence of the system by utilizing the theory of difference equation.
Hui Zhang +3 more
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Extreme phase sensitivity in systems with fractal isochrons [PDF]
, 2015 Sensitivity to initial conditions is usually associated with chaotic dynamics and strange attractors. However, even systems with (quasi)periodic dynamics can exhibit it.
Mauroy, Alexandre, Mezic, Igor
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Abstract and Applied Analysis, 2014 This paper considers a discrete predator-prey system with Beddington-DeAngelis functional response. Sufficient conditions are obtained for the existence of the almost periodic solution which is uniformly asymptotically stable by constructing a Lyapunov ...
Zengji Du, Wenbin Li
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Rare event simulation for multiscale diffusions in random environments [PDF]
, 2015 We consider systems of stochastic differential equations with multiple scales and small noise and assume that the coefficients of the equations are ergodic and stationary random fields.
Spiliopoulos, Konstantinos
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