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almost periodic solution of Nicholson＇s blowflies model with linear harvesting term and impulsive effects

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International Journal of Biomathematics 2015年第3期8卷 255-272页

作者： Zhijian Yao Department of Mathematics and Physics Anhui University of Architecture Hefei Anhui 230601 P. R. China

This paper is concerned with impulsive Nicholson＇s blowflies model with linear harvesting term. By using contraction mapping fixed point theorem, we obtain sufficient conditions for the existence of unique almost periodic positive solution. Moreover, we investigate exponential convergence of the almost periodic positive solution by Lyapunov functional.

关键词： Impulsive Nicholson's blowflies model almost periodic solution exponential convergence contraction mapping harvesting term.

almost periodic solution and Global Stability for Cooperative L-V Diffusion System

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Journal of Mathematical Research and Exposition 2010年第6期30卷 1108-1116页

作者： Feng Ying WEI Shou He WANG College of Mathematics and Computer Science Fuzhou UniversityFujian 350108P.R.China

In this paper a nonautonomous two-species n-patches system is *** each patch,there are two cooperative species and their dynamics are described by the LotkaVolterra *** species can diffuse independently and discretely between its interpatch and *** constructing a suitable Liapunov function,some sufficient conditions are obtained for the existence of a unique globally asymptotically stable positive almost periodic solution.

关键词： almost periodic solution global stability cooperative diffusion.

On existence of almost periodic solution of Ginzburg-Landau equation

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Communications in Nonlinear Science and Numerical Simulation 2000年第2期5卷 74-79页

作者： Boling GUO and Rong YUAN (Institute of Applied Physics and Computational Mathernatics, Beijing 100088, China e-mail: gbl@mail. iapcm. ac. cn) Institute of Applied Physics and Computational Mathematics Beijing 100088 China

In this paper, we study the Ginzburg-Landau equation μt =αou + αiμxx + α2|μ|2μ +α3|μ|μ +f. The existence of almost periodic solution of the equation is proved when f （t, x） is an almost periodic function a... 详细信息

关键词： Ginzburg-Landau equation almost periodic function almost periodic solution

EXISTENCE AND UNIQUENESS OF almost periodic solution TO A CLASS OF NONAUTONOMOUS SYSTEM

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Applied Mathematics and Mechanics(English Edition) 1999年第9期20卷 994-998页

作者：冯春华黄健民 Quanxi Normal University Guilin P R China

almost periodic oscillations appearing in high-tension electricity network are considered in this paper. By utilization of Liapunov function, the foreboding conditions that result in almost periodic oscillations are o... 详细信息

关键词： electrical system almost periodic solution asymptotic stability

almost periodic solution difference equation with of Nicholson＇s blowflies linear harvesting term

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International Journal of Biomathematics 2016年第4期9卷 59-73页

作者： Zhijian Yao Department of Mathematics and Physics Anhui Jianzhu University Hefei Anhui 230601 P. R. China

This paper is concerned with Nicholson＇s blowflies difference model with linear harvesting term. We obtain sufficient conditions for the existence of an almost periodic positive solution by using contraction mapping principle. The exponential convergence of almost periodic positive solution is derived by discrete Lyapunov functional.

关键词： Nicholson's blowflies difference model almost periodic solution exponentialconvergence contraction mapping linear harvesting term.

almost periodic solution OF MULTISPECIES COMPETITION-PREDATOR SYSTEM WITH ROLLING'S TYPE Ⅲ FUNCTIONAL RESPONSE

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Annals of Differential Equations 2006年第2期22卷 160-167页

作者： He Jiwei Fan Dejun Wang Ke Dept. of Applied Math. North China Electric Power University Baoding 071003 Dept. of Math. Harbin Institute of Technology （Weihai） Weihai 264209

In this paper, we consider a nonautonomous multispecies competition-predator system with Holling＇s type Ⅲ functional response. The coexistence of the system, under some conditions, is obtained. Furthermore, using Lyapunov function, we show that the system has a strictly positive almost periodic solution which is globally asymptotically stable.

关键词： competition-predator system Holling's type Ⅲ functional response almost periodic solution global attractivity

almost periodic solution of generalized Ginzburg-Landau equation

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Progress in Natural Science:Materials International 2001年第7期 25-37页

作者：郭柏灵元荣 Beijing 100088 China Institute of Applied Physics and Computational Mathematics

One class of generalized Ginzburg- Landau equation is studied and the existence of almost periodic solution of the equation is proven when f(t,x) is an almost periodic function of time t.

关键词： generalized Ginzburg-Landau equation almost periodic solution existence.

almost　periodic　solution　OF　TWO－SPECIES　PATCHTYPE　NONAUTONOMOUS　DIFFUSIVE　LOTKA－VOLTERRA　COMPETITIVE　MODELS

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Annals of Differential Equations 1996年第4期12卷 441-445页

作者：罗桂烈廖民锂江佑霖广西师范大学

In this paper, we consider two-species n-patch almost periodic competitive systemswith diffusion, where one species can diffuse between any two of n patches, but the otheris confined to one of the patches and cannot diffuse. We prove that the systems can have aunique positive almost periodic solution, which is globally uniformly asymptotically stableunder some appropriate conditions. In particular, if the system is a periodic system of period ω, it can have a positive globally uniformly asymptotically stable periodic solution ofperiod ω, which is a generalization of Theorem 4 in paper [6].

关键词： Competitive system Patch Diffusion almost periodic solution Globally uniformly asymptotically stable

Existence and Exponential Stability of almost periodic solution for BAM Neural Networks with Impulse

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Journal of Mathematical Research and Exposition 2010年第6期30卷 1039-1047页

作者： Bao Lin LI Rong WANG College of Mathematics and Information Science Northwest Normal UniversityGansu 730070P.R.China

This paper discusses a class of the bidirectional associative memories（BAM） type neural networks with *** using the Banach fixed point theory and some analysis technology,we obtain the existence of almost periodic s... 详细信息

关键词： BAM neural networks almost periodic solution impulse stability Banach fixed point theory.