共查询到19条相似文献,搜索用时 218 毫秒
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研究了具有时滞的捕食与被捕食系统,分析了系统的正不变集、边界平衡点性质、全局渐近稳定性和持久生存性.当时滞(?)很小时,系统在正平衡点是局部渐近稳定的,当(?)从0增到(?)_0时,系统在正平衡点附近产生Hopf分支. 相似文献
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建立并研究了一类具有周期强迫和脉冲扰动的捕食模型,通过理论分析和数值模拟,得到了食饵灭绝周期解全局渐近稳定和系统持久的充分条件,利用分支理论证明了边界周期解附近会分支出正周期解. 相似文献
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本文研究了一类非自治捕食-被捕食的周期系统.当周期为ω>0时,在某些条件下证明了该系统正周期解的存在唯一性和全局渐近稳定性. 相似文献
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研究了具有脉冲作用和功能反应的二阶食饵一捕食系统.利用脉冲微分方程的F1quet乘子理论、比较定理等方法,证明了当脉冲周期小于某个临界值时,系统存在一个全局渐进稳定的害虫灭绝周期解,并说明了系统的解是一致最终有界的. 相似文献
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对具有脉冲控制策略和捕食者具有密度制约的捕食与被捕食系统进行了定性分析.利用脉冲微分方程中的Floquet理论和比较方法证明了当脉冲周期小于某临界值时,系统的害虫根除周期解是全局渐近稳定的,进一步给出了系统持久性的条件. 相似文献
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关于具时滞的捕食-被捕食系统的稳定性与Hopf分支 总被引:1,自引:1,他引:0
研究了一类具时滞的捕食—被捕食系统正平衡解的稳定性和Hopf分支的存在性,即以转化率l为参数,得到存在一列l_k(k=0,1,2…),使当l∈(0,l_0)时正平衡解是渐近稳定的;当l>l_0时,正平衡解是不稳定的,而每一个l_k都是该系统的Hopf分支值,改进了一些已知的工作。 相似文献
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In this paper, we develop a mathematical model concerning a chemostat with impulsive state feedback control to investigate the periodicity of bioprocess. By the existence criteria of periodic solution of a general planar impulsive autonomous system, the conditions under which the model has a periodic solution of order one are obtained. Furthermore, we estimate the position of the periodic solution of order one and discuss the existence of periodic solution of order two. The theoretical results and numerical simulations indicate that the chemostat system with impulsive state feedback control either tends to a stable state or has a periodic solution, which depends on the feedback state, the control parameter of the dilution rate and the initial concentrations of microorganisms and substrate. 相似文献
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一类生态系统的脉冲控制 总被引:4,自引:0,他引:4
利用脉冲系统的线性近似判定的方法对一个具有脉冲控制的生物模型进行研究,得到了使其渐近稳定到原先不稳定的平衡点的充要条件并给出了生态解释。 相似文献
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This paper investigates drive-response synchronization for a class of
neural networks with time-varying discrete and distributed delays (mixed delays) as
well as discontinuous activations. Strict mathematical proof shows the global
existence of Filippov solutions to neural networks with discontinuous activation
functions and the mixed delays. State feedback controller and impulsive controller
are designed respectively to guarantee global exponential synchronization of the
neural networks. By using Lyapunov function and new analysis techniques, several new
synchronization criteria are obtained. Moreover, lower bound on the convergence rate
is explicitly estimated when state feedback controller is utilized. Results of this
paper are new and some existing ones are extended and improved. Finally, numerical
simulations are given to verify the effectiveness of the theoretical results. 相似文献
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The jumps in population size due to the occurrence of an unfavorable physical environment (e.g. the effects of periodic climate disaster on the population size), or due to the intrinsic physiological and reproductive mechanisms of the population (e.g. the seasonal reproduction of most animal populations), can be called impulsive perturbations. A two-phenotype evolutionary game dynamics with impulsive effects is investigated. The main goal is to show how the evolutionary game dynamics is affected by the impulsive perturbations. The results show that the impulsive perturbations not only result in periodic behavior, but also it is possible that an ESS strategy based on the traditional concept of evolutionary stability can be replaced successfully by a non-ESS strategy. 相似文献
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本文考虑了两种群具有脉冲效应的非自治Lotka-Valterra竞争系统.运用比较定理和李雅普诺夫函数法,建立了系统的持久性和渐近行为的充分条件. 相似文献
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固定周期脉冲微分方程到状态依赖脉冲的转化及应用 总被引:1,自引:0,他引:1
本文研究了一类二维状态依赖脉冲微分方程的阶1周期解存在性和轨道稳定性条件.然后,将一维固定周期脉冲的微分方程转化为二维状态依赖脉冲微分方程,研究其阶一周期解的存在性和稳定性.作为应用,我们研究了固定周期常数收获的Logistic方程的动力学性质,以及两个固定周期注射药物单室扩散模型的动力学性质. 相似文献
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具有脉冲和功能反应的扩散时滞的竞争系统正周期解的存在性 总被引:5,自引:0,他引:5
讨论一类具有脉冲和功能反应的两种群扩散时滞的竞争系统,利用重合度的理论得到了系统存在正周期解的充分条件,进而改进了现有的一些结果. 相似文献