Results 21 to 30 of about 1,441 (286)
Global Attractivity of a Family of Max-Type Difference Equations [PDF]
Discrete Dynamics in Nature and Society, 2011 We propose to study a generalized family of max-type difference equations and then prove the global attractivity of a particular case of it under some parameter conditions.
Xiaofan Yang, Wanping Liu, Jiming Liu
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A criterion for the global attractivity of scalar population models with delay [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2004 We establish sufficient conditions for the global attractivity of the positive equilibrium for some scalar delayed population models. As an illustration of the criterion established, a model generalizing the well-known food-limited population model with ...
Teresa Faria
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GLOBAL ATTRACTIVITY IN A NONAUTONOMOUS DELAY-LOGISTIC EQUATION [PDF]
Tamkang Journal of Mathematics, 1995 Consider the nonautonomous delay-Logistic equation \[x'(t)=r(t)x(t)[1-b_1x(t-\tau_1)-b_2x(t-\tau_2)], \quad t\ge 0.\] We obtain sufficient conditions for the positive steady state $x^* =1/(b_1+b_2)$ to be a global attractor. An application of our result also solves a conjecture of Gopalsamy.
Shen, Jianhua, Wang, Zhicheng
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Global Attractivity of the Periodic Lotka–Volterra System [PDF]
Journal of Mathematical Analysis and Applications, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pinghua, Yang, Rui, Xu
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Stability and global attractivity for a class of nonlinear delay difference equations [PDF]
Discrete Dynamics in Nature and Society, 2005 A class of nonlinear delay difference equations are considered and some sufficient conditions for global attractivity of solutions of the equation are obtained.
Binxiang Dai, Na Zhang
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A note on the global attractivity of a discrete model of nicholson's blowflies [PDF]
Discrete Dynamics in Nature and Society, 1999 In this paper, we further study the global attractivity of the positive equilibrium of the discrete Nicholson's blowflies model Nn+1−Nn=−δNn+pNn−ke−aNn−k, n=0,1,2,….
B. G. Zhang, H. X. Xu
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Boundedness and Global Attractivity of a Higher-Order Nonlinear Difference Equation [PDF]
Discrete Dynamics in Nature and Society, 2010 We investigate the local stability, prime period-two solutions, boundedness, invariant intervals, and global attractivity of all positive solutions of the following difference equation: 𝑦𝑛+1=(𝑟+𝑝𝑦𝑛+𝑦𝑛−𝑘)/(𝑞𝑦𝑛+𝑦𝑛−𝑘), 𝑛∈ℕ0, where the parameters 𝑝,𝑞,𝑟∈(0,∞
Xiu-Mei Jia, Wan-Tong Li
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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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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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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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