共查询到20条相似文献,搜索用时 62 毫秒
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研究了时标上一类具有Holling型功能反应的捕食模型.运用时标上连续拓扑度定理,得到了系统存在周期解的充分条件,从而使系统的连续时间情形和离散时间情形的周期解问题得到了统一,该方法可广泛应用于研究微分方程和差分方程的周期解的存在问题. 相似文献
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利用锥上不动点理论,本文研究了一类非线性泛函微分方程正周期解的存在多样性和ω-周期解的不存在性.获得了一些新的结果.应用这些新的结果,讨论了一类带参数的血细胞生成模型,给出该模型的正周期解的存在性,此结果利用以前的方法是无法得到的. 相似文献
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一类带时滞竞争模型的周期解 总被引:2,自引:0,他引:2
研究了来源于水生种群植化相克的模型,提出了带时滞的半线性抛物系统.用上下解方法讨论了抛物方程组周期解存在性的原理,利用特征函数构造所提出抛物系统的上解,给出了正周期解存在的充分条件. 相似文献
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本文研究了非线性互惠共存生物动力系统在周期环境中解的性态,运用了比较原理,Brouwer不动点定理,锥域上的单调、强正、强凹算子等方法,得到周期解的存在唯一性,并证明了该周期解是全局一致渐近稳定的。 相似文献
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文章研究了一类正常细胞和癌细胞相互作用的竞争系统周期解的存在性.数学模型包括竞争型的Lotka-Volterra方程组与描述周期性化疗的脉冲条件.文章建立了一类新的单调迭代方法,该方法是构造性的,周期解可以由一个线性迭代过程得到,每一步迭代只需求解一个脉冲微分方程初值问题.文章获得了系统至少存在一个严格正的周期解的充分条件. 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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Periodic solutions to nonautonomous difference equations 总被引:1,自引:0,他引:1
A technique is presented for determining when periodic solutions to nonautonomous periodic difference equations exist. Under certain constraints, stable periodic solutions can be guaranteed to exist, and this is used to compare the analogous behavior of a nonautonomous periodic hyperbolic difference equation to that of the nonautonomous periodic Pearl-Verhulst logistic differential equation. 相似文献
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《Journal of biological dynamics》2013,7(1):58-72
In this paper, the nonautonomous competing two-species Lotka–Volterra models with impulsive effect are considered, where all the parameters are time-dependent and asymptotically approach the corresponding periodic functions. Under some conditions, it is shown that the semi-trivial positive solutions of the models asymptotically approach the semi-trivial positive periodic solutions of the corresponding periodic system. It is also shown that the positive solution of the models asymptotically approach the positive periodic solution of the corresponding periodic system. 相似文献
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Jane Cronin 《Bulletin of mathematical biology》1977,39(2):187-199
The mathematical study of periodic catatonic schizophrenia initiated by Danziger and Elmergreen is generalized by considering
the class of differential equations that could be used to describe the periodic behavioral symptoms and periodic variation
of biochemical levels in periodic catatonic schizophrenia. The existence of asymptotically stable periodic solutions is studied
mathematically and the physical significance of such periodic solutions is discussed. The occurrence of relaxation oscillations
is briefly considered.
The research in this paper was supported partly by the U.S. Army Research Office (Durham) (Grant No. DA-ARO-D-31-124-72-C69)
and partly by a Rutgers Research Council Faculty Fellowship. 相似文献
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In this paper, the nonautonomous competing two-species Lotka-Volterra models with impulsive effect are considered, where all the parameters are time-dependent and asymptotically approach the corresponding periodic functions. Under some conditions, it is shown that the semi-trivial positive solutions of the models asymptotically approach the semi-trivial positive periodic solutions of the corresponding periodic system. It is also shown that the positive solution of the models asymptotically approach the positive periodic solution of the corresponding periodic system. 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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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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渐近周期的Logistic方程 总被引:2,自引:0,他引:2
主要研究了渐近周期的Logistic方程,得到了渐近周期解的存在唯一性,全局吸引性;进一步得到渐近周期函数对加减乘除,导数,微分,复合函数运算的封闭性;渐近周期函数空间是Banach空间,并得到高维系统下的渐近周期函数空间是Banach空间. 相似文献