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In this paper, by using the comparing theorem, Razumikhin-type theorem and V-function method, we consider a nonautonomous predator-prey system with stage-structure and time-delay. We get the sufficient conditions for the uniform persistence and the solutions global attractivity of this system. For a periodic system, we obtain the existence and uniqueness of a positive periodic solution of this system. For an almost periodic system, we prove the existence and the uniform asymptotic stability of the almost periodic solutions of this system. 相似文献
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通过对麦克斯韦方程格林函数的计算 ,我们得到它的求解公式 ,然后解释为什么一束光线射到冰洲石表面上会产生两束折射光线 ,并描述了折射光线的路径 相似文献
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球面、柱面、锥面与非线性控制系统 总被引:7,自引:0,他引:7
我们首先从整体化的观点定义了一种建立在三维欧氏空间的二维曲面上的非线性控制系统,并给出了在曲面的局部坐标系下非线性系统状态方程的表达式,研究了非线性系统的平衡态与曲面的测地线之间的关系.刻划了球面、柱面、锥面的特殊曲面几何结构和奇异结构与非线性控制系统之间的内在联系.进一步,讨论了建立在球面、柱面和锥面上的非线性控制系统的局部和整体能控性与能观测性. 相似文献
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D.SENTHILKUMAR P.CHANDRA KALA 《数学物理学报(B辑英文版)》2014,(6):1935-1946
In this paper we introduce the concept of tensor sum semigroups. Also we have given the examples of tensor sum operators which induce dynamical system on weighted locally convex function spaces. 相似文献
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高维系统周期解的存在性与唯一性 总被引:1,自引:0,他引:1
本文首先利用一种新方法讨论高维系统解的一致有界性,一致最终有界性及非常稳定性问题,然后将所获结果应用于高维系统周期解的存在性与唯一性的研究。另外,本文还提出了“阶梯形系统”的概念,并对其建立了一种利用系统部分方程周期解存在性判定整个系统周期解存在性的方法。 相似文献
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双线性系统的无反馈解耦线性化 总被引:1,自引:1,他引:0
严星刚 《纯粹数学与应用数学》1995,11(2):21-28
用现代微分几何方法研究了双线性控制系统的解耦线性化问题,给出了一般双线性系统解耦线性化的充分条件及严格双线性系统解耦线性化的充要条件,并举例说明了本文的结论。 相似文献
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IIntroductlonConsider the n-spedes biological systemlit\1.=IJ!厂.+》*i,工上D、忍=上,’··。n.ti)Ifffi=1,it is S S-SpSCllS LOthaka-VoltOOYY SystSS.Iftti=2,It Is S S-sPeCieSKolmongorov system.As to the n-spedes Gause-Lotb-Volterra system矿ti 乙工.=T;Ii、y Qiil.I。Ti 7 U,on M U,t6)174 AnnofDiff Eqs.VO18M叫 and Leonard[1],Ho凡aner and Sigmund问 have studied this system forthe case n二 3 respectlvelyand noted that thereprobably exists aheterocllnlccyclefor… 相似文献
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宋矞 《Annals of Differential Equations》2001,(4)
1 IntroductionAs we know, any given quadratic system which may have limit cycle (LC,fOr abbreviation) can be written in the fOllowing fOrm (see [1] 512)where 6, l, m, n, a, 6 are all real parameters.If all trajectories of a quadratic system remain bounded fOr t 2 0, we saythat the system is bounded, and fOr abbreviation denote by BQS in this paper.The research work for BQS begin with Dickson-Perko [3]. And then, in [4],they made use of the conclusions of [51 to give a detailed classifica… 相似文献
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1MainResultsConsidersystem11~.x f(x)x' g(x)~0(1)wheref(x)islocallyintegrable,g(x)isdifferentiablealldg(0)=0.Theroem1Thezerosolutionofsystem(1)isuniformlyasymptoticallystableifbyequivalenttransf'Ormu=xov=X' F(x).DefineW[t,(uif\v)]j6ug(s)ds Iv',thenwisaposi… 相似文献
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Liujuan Chen Fengde Chen 《Annals of Differential Equations》2011,(3):293-301
A predator-prey system with independent harvesting in either species and BeddingtonDeAngelis functional response is investigated. By analyzing characteristic equations and using an iterative technique,we obtain a set of easily verifiable sufficient conditions,which ensure the local and global stability of the nonnegative equilibria of the system. It is also shown that the time delay can cause a stable equilibrium to become unstable and even a switching of stabilities. Numerical simulations are carried out t... 相似文献
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In this paper, we consider a Lotka-Volterra competitive system with nonlocal delays and feedback controls. Using the Lyapunov functional and iterative technique method, we investigate the global stability and extinction of the system. Also, we show the influence of feedback controls on dynamic behaviors of the system. Some examples are presented to verify our main results. 相似文献
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C. MULLON J‐F. MITTAINE O. THÉBAUD G. PÉRON G. MERINO M. BARANGE 《Natural Resource Modeling》2009,22(4):564-609
Abstract To explore the drivers of change in the complex system relating small pelagic fisheries and fishmeal/fish oil markets, to identify the interactions between these drivers and their overall impacts, we propose a bio‐economic model, coupling the ecological and the economic dynamics of these global commodities. The model enables an analysis of the consequences of both global and local changes in the environment of production systems. Through sensitivity analysis of specific input parameters, we evaluate the robustness of the overall system to such changes and show that local responses of production systems and markets cannot be considered in isolation from the set of interactions at global level. 相似文献
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Ou Liuman Zhu Siming 《Annals of Differential Equations》2006,22(2):176-184
In this paper we investigate the boundedness and dissipation for dynamic equations on time scales. By using Lyapunov type function and its Dini-derivative, the boundedness and dissipation criteria for first-order IVP's are obtained. Some examples are given. Finally, we tentatively investigate convergence of the system. 相似文献
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In this paper, we set up a general framework of parallel matrix mullisplitting relaxation methods for solving large scale system of linear equations. We investigate the convergence properties of this framework and give several sufficient conditions ensuring it to converge as well as diverge. At last, we conclude a necessary and sufficient condition for the convergence of this framework when the coefficient matrix is an L-matrix. 相似文献
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Xiang Hongjun Wang Jinhua Chen Anping 《Annals of Differential Equations》2005,21(4):604-615
In this paper, a class of two-dimensional shunting inhibitory cellular neural networks with distributed delays and variable coefficients system is studied. By using the Schauder's fixed point theorem and Lyapunov function, we obtain some sufficient conditions about the existence and attractivity of almost periodic solutions to the above system, and all its solutions converge to such almost periodic solution. An example is given to illustrate that the conditions of our results are feasible. 相似文献
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采用人民币对美元的汇率数据、利用计量经济学方法得到:固定汇率并不意味着完全没有变化,它是时间的函数.在实证研究的基础上,提出了固定汇率制度和浮动汇率制度下的双币种期权定价模型,并得到该问题的闭式解. 相似文献