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利用重合度理论建立了一类周期中立型时滞捕食者-食饵系统正周期解的全局存在性的充分条件. 相似文献
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在本文中,作者考察了n种群Lotak-Volterra周期捕食-竟争系统,用比较定理、Brouwer不定点定理和V函数方法证明了正解的最终有界性、正周期解的存在性、正周期解的全局吸引性及唯一性. 相似文献
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研究了与生物资源管理相关的食饵具脉冲扰动与成年捕食者具连续收获的阶段结构时滞捕食-食饵模型.利用离散动力系统的频闪映射和脉冲时滞微分方程理论,得到了捕食者灭绝周期解的全局吸引和系统持久的充分条件,也证明了系统的所有解的一致完全有界.结论为现实的可再生生物资源管理提供了可靠的策略依据. 相似文献
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Permanence and Existence of Positive Periodic Solution for Diffusive Lotka-Volterra Model 总被引:3,自引:1,他引:2
OneOfthemostintereStingquestionSintnathematiedbiologyconcernsthes~ofSpecsinecologicalmodels.Forautonomoussystemwhichhavenodiffusion,therearemanyliteraturesabout~istenceanddondnance[1,2,3j.R~ly,manyauthorsfindthatthediffusionpzocessineCOIOgitalsystemPlaysanimPOrtantrole.Infact,diffusionoftenoccursinnatural~icalenvironxnent,thatistosay,whenonepatchisnotvaluabletolivein-spotescan~tOanother.SoLevin[4)firsteStablishedthemedelabbotautonomousLDthe-VolterraSystemwithdiffusionprocess.AfterLevin… 相似文献
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Differential equation problem is an important research topic in the international academia. In accordance with certain ecological phenomena, previous research was conducted based on simple observational and statistical data. But this approach does not effectively study the essence of the ecological phenomena. Recently, one dynamic approach has been proposed for the study of ecology in the international academia. According to this approach, first of all, the ecology is reduced to the differential equation model which represents the essential phenomenon, and then the dynamic law and rules of mathematics and biology will be studied. Currently, an extensive research is conducted on the differential equation problem. This paper primarily explores a type of competitive ecological model, which is a system of differential equation with infinite integral. we first study the existence of positive periodic solution to this model, and then present sufficient conditions for the global attractivity of positive periodic solutions. 相似文献
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具有Holling Ⅲ类功能性反应的多种群竞争捕食系统全局稳定的条件 总被引:9,自引:2,他引:7
研究了具有HollingⅢ类功能性反应的非自治多种群竞争捕食生态系统所有参数都是时变的.证明了此系统在适当的条件下是一致持续生存的,进一步通过构造适当的Lyapunov函数,得到保证系统全局稳定周期解的充分性条件, 相似文献
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利用指数二分性、Banach不动点定理与微分不等式分析技巧,在不要求激活函数有界的条件下,给出了变系数变时滞的BAM神经网络概周期解的存在唯一性和全局吸引性的充分条件.所得结果推广和改进了相应文献的结果。对设计BAM神经网络概周期振荡有重要意义. 相似文献
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The delay logistic equation with periodic coefficients is studied. Under condition (2.1) below the existence and global attractivity of a unique periodic solution is proved by mean of monotonicity methods.Work partially supported by G.N.A.F.A.-C.N.R. 相似文献
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In this paper, we study the existence and global attractivity of positive periodic solutions of periodic n-species Lotka-Volterra competition systems. By using the method of coincidence degree and Lyapunov functional, a set of easily verifiable sufficient conditions are derived for the existence of at least one strictly positive (componentwise) periodic solution of periodic n-species Lotka-Volterra competition systems with several deviating arguments and the existence of a unique globally asymptotically stable periodic solution with strictly positive components of periodic n-species Lotka-Volterra competition system with several delays. Some new results are obtained. As an application, we also examine some special cases of the system we considered, which have been studied extensively in the literature. Some known results are improved and generalized. 相似文献
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三种群非自治系统的周期解的吸引性 总被引:4,自引:0,他引:4
本文讨论了三种群非自治竞争系统,此系统中所有的参数是与时间相关的,并且分别渐近接近于周期函数,得到了保证周期解吸引性的条件。 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