共查询到19条相似文献,搜索用时 78 毫秒
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对于具有反馈控制的离散概周期两种群竞争系统的概周期解问题,进行了深入的讨论,得到了该系统存在唯一的一致渐近稳定概周期解的充分条件. 相似文献
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本文研究时标上一类具有反馈控制的互惠系统.首先,构建时标上两个重要不等式,基于这些结果,得到系统是持久的充分条件.进一步,运用概周期函数的性质,并构建适当的Laypunov泛函,得到系统存在唯一一致渐近稳定的概周期解的充分条件. 相似文献
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本文利用差分方程的比较原理以及构造国合适的Lyapunov函数,讨论了一类带有反馈控制的非自治离散竞争系统的持久性和概周期解,给出了存在正概周期解的几个充分条件.最后给出一个数值例子验证了本文主要结果的有效性. 相似文献
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鲁红英 《高校应用数学学报(A辑)》2020,(3):281-293
讨论了一类时间尺度上带有反馈控制的Schoner竞争模型的持久性,以及该系统为概周期系统时,存在唯一严格正的一致渐近稳定概周期解条件,并将以前的相关研究结果在时间尺度上做了推广和延伸. 相似文献
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鲁红英 《高校应用数学学报(A辑)》2020,(3):281-293
讨论了一类时间尺度上带有反馈控制的Schoner竞争模型的持久性,以及该系统为概周期系统时,存在唯一严格正的一致渐近稳定概周期解条件,并将以前的相关研究结果在时间尺度上做了推广和延伸. 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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一类概周期时滞捕食-食饵系统的概周期解 总被引:3,自引:0,他引:3
本文讨论一类概周期时滞捕食-食饵系统的一致持久性,通过构造一个Liapunov函数得到该系统有界解的唯一性,并且给出正概周期解的存在唯一性定理。 相似文献
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应用构造Ляпунов函数的方法,讨论了非线性微分方程系概周期解的存在唯一性.同时给出了Liénard方程存在唯一概周期解的一组充分条件. 相似文献
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Asymptotical stability of almost periodic solution for an impulsive multispecies competition–predation system with time delays on time scales 下载免费PDF全文
In this paper, we consider the almost periodic dynamics of an impulsive multispecies Lotka–Volterra competition system with time delays on time scales. By establishing some comparison theorems of dynamic equations with impulses and delays on time scales, a permanence result for the model is obtained. Furthermore, based on the permanence result, by studying the Lyapunov stability theory of impulsive dynamic equations on time scales, we establish the existence and uniformly asymptotic stability of a unique positive almost periodic solution of the system. Finally, we give an example to show the feasibility of our main results, and our example also shows that the continuous time system and its corresponding discrete time system have the same dynamics. Our results of this paper are completely new even if for both the case of the time scale and the case of the time scale . Copyright © 2017 John Wiley & Sons, Ltd. 相似文献
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In this paper, a n-species Lotka–Volterra competition system with delay and feedback controls is investigated. By means of the theory of comparison theorem and suitable Lyapunov functional, some sufficient conditions for the existence and uniqueness of almost positive periodic solutions of this system is obtained. 相似文献
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Almost periodic solutions for neutral‐type neural networks with the delays in the leakage term on time scales 下载免费PDF全文
In this paper, a class of neutral‐type neural networks with delays in the leakage term on time scales are considered. By using the Banach fixed point theorem and the theory of calculus on time scales, some sufficient conditions are obtained for the existence and exponential stability of almost periodic solutions for this class of neural networks. The results of this paper are new and complementary to the previously known results. Finally, an example is presented to illustrate the effectiveness of our results. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
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Yonghui Xia Jinde Cao Huiying Zhang 《Journal of Mathematical Analysis and Applications》2004,294(2):503-522
In this paper, the following almost periodic n-species competitive system with feedback controls
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翁佩萱 《应用数学学报(英文版)》1996,12(1):11-21
WENGPEIXUAN(翁佩萱)(DepartmentofMathematics,SouthChinaNormalUniversity,Guangzhou510631,China)GLOBALATTRACTIVITYINAPERIODICCOMPET... 相似文献
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一类具时滞生态系统的概周期解 总被引:7,自引:0,他引:7
对具有限时滞和带扩散效应的Lotka—Volterra系统进行了研究,证明了在一定条件下系统是一致持久的,并利用建立Lyapunov函数的方法得到了系统的概周期解存在惟一和全局渐近稳定的充分条件。 相似文献
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A ratio-dependent Leslie system with feedback controls is studied. By using a comparison theorem and constructing a suitable Lyapunov function, some sufficient conditions for the existence of a unique almost periodic solution (periodic solution) and the global attractivity of the solutions are obtained. Examples show that the obtained criteria are new, general, and easily verifiable. 相似文献
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This article studies one dimensional viscous Camassa-Holm equation with a periodic boundary condition. The existence of the almost periodic solution is investigated by using the Galerkin method. 相似文献