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Global attractivity for uncertain differential systems
AIMS Mathematics, 2022 This paper studies global attractivity for uncertain differential systems, which are effective tools to solve the problems with uncertainty. And They have been applied in many areas. This article presents several global attractivity concepts.
Nana Tao, Chunxiao Ding
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Explicit Conditions for Stability of Nonlinear Scalar Delay Impulsive Difference Equation
Advances in Difference Equations, 2010 Sufficient conditions are obtained for the uniform stability and global attractivity of the zero solution of nonlinear scalar delay impulsive difference equation, which extend and improve the known results in the literature. An example is also worked out
Bo Zheng
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Dynamics in an n-Species Lotka–Volterra Cooperative System with Delays
Axioms, 2023 We studied a class of generalized n-species non-autonomous cooperative Lotka–Volterra (L-V) systems with time delays. We obtained new criteria on the dynamic properties of the systems. First, we obtained the boundedness and permanence of the system using
Zhao Jiang +2 more
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Advances in Nonlinear Analysis, 2023 In this article, we formulate and perform a strict analysis of a reaction–diffusion mosquito-borne disease model with total human populations stabilizing at H(x) in a spatially heterogeneous environment.
Wang Jinliang, Wu Wenjing, Li Chunyang
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Global attractivity for scalar differential equations with Small Delay [PDF]
, 2007 For scalar functional differential equations x'(t) = f (t,x_t ), we refine the method of Yorke and 3/2-type conditions to prove the global attractivity of the trivial solution.
Faria +27 more
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Persistence and periodicity of survival red blood cells model with time-varying delays and impulses
Mathematical Modelling and Control, 2021 In this paper, a class of survival red blood cells model with time-varying delays and impulsive effects is considered. First, some sufficient conditions for the persistence are derived by use of the theory on impulsive differential equations.
Tengda Wei, Xiang Xie , Xiaodi Li
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Demonstratio Mathematica, 2016 In this paper, we construct a non-standard finite difference scheme for a general model of glucose-insulin interaction. We establish some new sufficient conditions to ensure that the discretized model preserves the persistence and global attractivity of ...
Huong Dinh Cong
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Unique Positive Almost Periodic Solution for Discrete Nonlinear Delay Survival Red Blood Cells Model
Abstract and Applied Analysis, 2009 We obtain sufficient conditions which guarantee the global attractivity of solutions for nonlinear delay survival red blood cells model. Then, some criteria are established for the existence, uniqueness and global attractivity of positive almost periodic
Xitao Yang, Siping Tang
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Existence and Attractivity for Fractional Evolution Equations
Discrete Dynamics in Nature and Society, 2018 We study the existence and attractivity of solutions for fractional evolution equations with Riemann-Liouville fractional derivative. We establish sufficient conditions for the global attractivity of mild solutions for the Cauchy problems in the case ...
Yong Zhou +3 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2019 This paper is concerned with the existence, uniqueness and global attractivity of positive periodic solution of a delayed Nicholson's blowflies model with nonlinear density-dependent mortality rate.
Thai Doan, Le Van Hien, Anh Trinh
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