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1IntroductionLetusa;onsi~~l'tile2-(1llTlellsiollalco'ttipetit;ion1,of-,ha--\./O]1,'lrra,s:\,s(t()lcfl.r]=.r,(l)j(t)--a,1(-t)xl--a,,(lt)x,),,.(II)ac=ac(6~(t-)--a21(t)x,--a22(t);rZ),xvhere(J:,.:x'2)eR;,~{(;t:l,.xZ)la:l20,IZ.20},l),(l),ail(t)fi{~j:lar(>conti… 相似文献
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具有时滞和基于比率的三种群捕食系统的持久性与全局渐近稳定性 总被引:57,自引:2,他引:57
研究一类具有时滞和基于比率的三种群食物链捕食-被捕食动力学模型.证明了该系统在适当条件下的一致持久性;通过构造Lyapunov泛函,得到了该系统正平衡点全局渐近稳定的充分条件. 相似文献
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In this paper, stability of time varying singular differential systems with delay is considered. Based on variation formula and Gronwall-Bellman integral inequality, we obtain the exponential estimation of the solution and the sufficient conditions under which the considered system is stable and exponentially asymptotically stable. These results will be very useful to further research on Roust stability and control design of uncertain singular control systems with delay. 相似文献
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Wei Fengying 《Annals of Differential Equations》2007,23(1):78-88
Nonautonomous predator-prey systems with infinite delay is considered at phase space Cg in this paper. Some suitable conditions of persistence of the populations are obtained. The results are different from ones of Wang Ke which was considered in phase space Ch 相似文献
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PERSISTENCE AND GLOBAL STABILITY FOR TWO-SPECIES NONAUTONOMOUS PREDATOR-PREY SYSTEM WITH DIFFUSION AND TIME DELAY 总被引:3,自引:0,他引:3
In this paper, a non-autonomous predator-prey model with diffusion andcontinuous time delay is studied, where the prey can diffuse between two pat-ches of a heterogeneous environment with barriers between patches, but for thepredator, the diffusion does not involve a barrier between patches, further itis assumed that all the parameters are time-dependent. It is shown that thesystem can be made persistent under some appropriate conditions. Moreover,sufficient conditions that guarantee the existence of a unique periodic solutionwhich is globally asymptotic stable are derived. 相似文献
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关于滞后型泛函微分方程的稳定性,本文给出了更一般的判别准则,推广了Paзyмихин的结果。并将所得结论用于考察具有缓变系数的线性时滞系统的稳定性,放宽了通常的对系统系数矩阵特征值的限制,给出了直接由系统右端系数计算的简明的稳定性判据。 相似文献
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Xu Rongcong Xia Yonghui 《Annals of Differential Equations》2007,23(4):530-535
In this paper,we investigate the persistence and global asymptotic stability of a discrete predator-prey system.Based on Lyapunov functions,several crite- ria are established concerning the persistence and globally asymptotic stability of difference systems. 相似文献
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PERSISTENCE AND GLOBAL STABILITY FOR A THREE-SPECIES RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH TIME DELAYS IN TWO-PATCH ENVIRONMENTS 总被引:2,自引:0,他引:2
A three-species ratio-dependent predator-prey diffusion model with time de-lays is investigated. It is shown that the system is uniformly persistent under some ap-propriate conditions, and sufficient conditions are obtained for the global stability of the positive equilibrium of the system. 相似文献
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时变退化时滞微分系统的变易公式 总被引:1,自引:0,他引:1
蒋威 《数学年刊A辑(中文版)》2003,(2)
本文将研究时变退化时滞微分系统.给出了该类系统的变易公式.这将在进一步研究退化时滞微分系统时十分有用. 相似文献
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This paper gives the conditions for the existence of a globally stable equi-librium of rz-dimensional Lotka-Volterra systems in the following cases: Lotka-Volterra chain systems and Lotka-Volterra modei between one and multispecies. The conditions obtained in this paper are much weaker than those in [6] and more easily verifiable in application. So the results can be applied to more general Lotka-Volterra models. At the same time, the existence and stability conditions of positive equilibrium points of the above systems are given. 相似文献
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GLOBAL ASYMPTOTIC STABILITY IN N-SPECIES NONAUTONOMOUS LOTKA-VOLTERRACOMPETITIVE SYSTEMS WITH DELAYS
A delayed n-species nonautonomous Lotka-Volterra type competitive system without dominating instantaneous negative feedback is investigated. By means of a suitable Lyapunov functional, sufficient conditions are derived for the global asymptotic stability of the positive solutions of the system. As a corollary, it is shown that the global asymptotic stability of the positive solution is maintained provided that the delayed negative feedbacks dominate other interspecific interaction effects with delays and the delays are sufficiently small. 相似文献
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In this paper, we consider the permanence of asymptotically periodic mul-tispecies Lotka-Volterra competition predator-prey system. By means of the standard comparison theorem, we improve or extend the corresponding results given by Peng and Chen [1], Teng and Li [2], Zhao and Chen [3]. Also, we obtain the conditions which ensure the permanence and global attractivity of asymptotically periodic multispecies competition predator-prey system. 相似文献
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时变仿射非线性系统的动态补偿线性化 总被引:3,自引:0,他引:3
张仁忠 《纯粹数学与应用数学》1998,14(2):38-42
用微分几何方法讨论了时变仿射非线性系统的动态补偿线性化问题,给出了系统动态的反馈线性化的条件,它是状态反馈线性化的推广。 相似文献
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具有扩散的捕食与被捕食系统的持续性和稳定性 总被引:2,自引:0,他引:2
本文研究了一类具有扩散和时滞的捕食与被捕食系统,证明了在适当条件下系统 是一致持续的,利用同伦技术证明了正平衡点的存在性,构造适当的Lyapunov函数获得 了正平衡点的局部和全局稳定的充分条件. 相似文献
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1IntroductionItisknownthatmethodsofmathematicalmodelcanbeusedtodescribethedynamicalbehavioramongspeciesinecology.Recentlyman... 相似文献
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两种群非自治Lotka-Volterra竞争扩散系统的概周期解 总被引:6,自引:0,他引:6
本文讨论两种群概周期竞争扩散系统,利用微分不等式,证明了系统概周期解的存在、唯一性及其在壳扰动下的稳定性. 相似文献
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POSITIVE ALMOST PERIODIC SOLUTIONS OF n DIMENSIONAL NONAUTONOMOUS LOTKA-VOLTERRA COMPETITIVE SYSTEMS
Dishen Jiabu 《Annals of Differential Equations》2007,23(4):400-404
In this paper,we study some n dimensional nonautonomous Lotka-Volterra competitive ecological systems.We then obtain permanence of such systems, as well as the existence,uniqueness and global asymptotic stability of almost periodic positive solutions to these systems. 相似文献