共查询到17条相似文献,搜索用时 109 毫秒
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Lotka-Volterra方程的概周期解的存在性 总被引:2,自引:2,他引:2
本文讨论具有概周期系数的Lotka-Volterra微分方程.给出该微分方程存在大于零的概周期解的一个实用、简沽的充分条件. 相似文献
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具有放牧率的某些概周期生态模型 总被引:6,自引:1,他引:5
文[1]研究了具有放牧率的周期生态模型的周期解的存在性、唯一性与稳定性等问题.本文考虑更加广泛的生态模型,即具有放牧率的概周期生态系统的概周期解的存在性、稳定性,通过利用指数型二分性和不动点方法,得到一些新结果. 相似文献
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具有放牧率的n阶Lotka-Volterra概周期竞争系统 总被引:9,自引:0,他引:9
利用线性系统指数型二分性理论和不动点定理给出了具有放牧率的n阶Lotka-Volterra概周期系统,给出该系统存在唯一稳定的概周期正解的一个实用、简洁的充分条件. 相似文献
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具时滞的非自治扩散捕食系统的概周期解 总被引:2,自引:0,他引:2
在本文中,我们考虑具时滞的扩散概周期捕食系统,其中被捕食者可在两个缀块间迁移,而捕食者被限制在其中一个缀块内,并证明了该系统存在唯一的全局吸引的正概周期解. 相似文献
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Almost periodic solution of non-autonomous Lotka-Volterra predator-prey dispersal system with delays 总被引:4,自引:0,他引:4
This paper studies a non-autonomous Lotka-Volterra almost periodic predator-prey dispersal system with discrete and continuous time delays which consists of n-patches, the prey species can disperse among n-patches, but the predator species is confined to one patch and cannot disperse. By using comparison theorem and delay differential equation basic theory, we prove the system is uniformly persistent under some appropriate conditions. Further, by constructing suitable Lyapunov functional, we show that the system is globally asymptotically stable under some appropriate conditions. By using almost periodic functional hull theory, we show that the almost periodic system has a unique globally asymptotical stable strictly positive almost periodic solution. The conditions for the permanence, global stability of system and the existence, uniqueness of positive almost periodic solution depend on delays, so, time delays are "profitless". Finally, conclusions and two particular cases are given. These results are basically an extension of the known results for non-autonomous Lotka-Volterra systems. 相似文献
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结合运用Liapunov泛函数,研究二维Lotka-Volterra捕食系统周期正解的存在唯一性。 相似文献
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研究了具有反馈控制和功能性反应的两种群竞争系统.通过构造适当的Lyapunov函数,得到了系统存在全局渐进稳定的概周期解的充分性条件。 相似文献
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Willis环状脑动脉瘤模型的概周期解 总被引:2,自引:0,他引:2
运用构造Liapunov函数的方法,证明了一类非线性系统+(μ+f(x))x+αx-βx2+γx3+g(x)=Fcosωt+e(t)(其中α,β,γ,μ均为正数),在一定条件下存在唯一的一致渐近稳定的概周期解 相似文献
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研究具有阶段结构的多种群竞争系统,得到该系统一致持久,正周期解全局渐近稳定及概周期解的存在性与一致渐近稳定性的充分条件。 相似文献
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We study convergence of positive solutions for almost periodic reaction diffusion equations of Fisher or Kolmogorov type.
It is proved that under suitable conditions every positive solution is asymptotically almost periodic. Moreover, all positive
almost periodic solutions are harmonic and uniformly stable, and if one of them is spatially homogeneous, then so are others.
The existence of an almost periodic global attractor is also discussed.
Received: 11 November 1996 / Revised version: 8 January 1998 相似文献
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利用不动点原理,给出了具有无穷时滞的生态竞争系统存在概周期解的简洁而实用的充分条件. 相似文献