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椰心叶甲虫是棕榈科植物最主要的害虫之一.论文针对两类寄生蜂攻击椰心叶甲虫不同年龄阶段的特点,建立了阶段结构的脉冲定期喷洒药物和释放天敌的综合防治模型.通过重合度理论和分析工具,证明了该模型周期解的存在性,给出了周期解存在的充分条件,并通过数值模拟验证了理论结果的有效性. 相似文献
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讨论具有时滞的一般性脉冲神经网络的稳定性.在不假定激励函数有界或可导的前提下,利用非光滑分析和Lyapunov泛函,得到了这类神经网络系统平衡点的存在唯一性和全局指数稳定性判别准则.作为特例,得到了Hopfield神经网络,时滞细胞神经网络,双向联想记忆神经网络的平衡点的存在唯一性和全局指数稳定性判定定理. 相似文献
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利用新的重合度理论中的连续性定理,给出了一类带有脉冲的中立型时滞微分方程的正周期解的存在性判定定理. 相似文献
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Rim Amami 《Optimization》2013,62(11):1525-1552
We establish existence results for adapted solutions of infinite horizon backward stochastic differential equations with two reflected barriers. We also apply these results to get the existence of an optimal impulse control strategy for the infinite horizon impulse control problem. The properties of the Snell envelope reduce our problem to the existence of a pair of continuous processes. 相似文献
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本文运用含有脉冲的积分函数方法,得到了脉冲自治系统的周期解存在及吸引的充要条件,并给出了在单物种增长模型中的应用. 相似文献
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Li Jianli Shen Jianhua 《Annals of Differential Equations》2005,21(2):161-168
By using the continuation of coincidence degree theory, we study the periodic Lotka-Volterra equations with impulses, and some sufficient onditions for the existence of positive periodic solutions are obtained. 相似文献
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This paper is devoted to study the existence of multiple positive solutions for the second order periodic boundary value problem with impulse effects. The main results here are the generalization of Jiang [Daqing Jiang, On the existence of positive solutions to second order periodic BVPs, Acta Math. Sci. 18 (1998) 31–35] for ordinary differential equations. Existence is established via the theory of fixed point index in cones. 相似文献
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考虑了一类食饵在斑块环境中扩散具有脉冲和时滞的捕食系统,通过灵活地运用Gaines和Mawhin的连续拓扑度定理,获得了一系列易验证的正周期解存在的充分条件. 相似文献
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《Optimization》2012,61(6):827-840
In this article, the second-order nonlinear impulsive evolution differential equations with time-varying generating operators is considered. Constructing evolution systems generated by time-varying operator matrix, we introduce suitable mild solution of the second-order nonlinear impulsive evolution differential equations. The existence and uniqueness of the mild solutions and the continuous dependence on initial value are proved. The existence of the optimal controls for a Lagrange problem of the systems governed by the second-order nonlinear impulsive evolution equations is also presented. An example is given for demonstration. 相似文献
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In this paper, a nonautonomous periodic model of population with time delays and impulses, which arises in order to describe the control of a single population of cells, is studied. By the coincidence degree theory we obtain the conditions for the existence of periodic solution of this system. 相似文献
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提出了随机脉冲随机微分方程模型,其中所谓的随机脉冲是指脉冲幅度由随机变量序列驱动,并且脉冲发生的时间也是一个随机变量序列.因此,随机脉冲随机微分方程是对带跳的随机微分方程模型的推广.利用Gronwall不等式、Lipschtiz条件和随机分析技巧,得到了随机脉冲随机微分方程的解的存在唯一性条件. 相似文献
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Hong-bo Shi 《高校应用数学学报(英文版)》2010,25(3):264-276
The existence of positive periodic solution of a generalized semi-ratio-dependent predator-prey system with time delay and impulse is studied by using the continuation theorem based on the coincidence degree theory. The permanence of the system is also considered. The results partially improve and extend some known criteria. 相似文献
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In this paper, a periodic budworm population model with impulsive perturbations is investigated. The impulse is realized at fixed moments of time. A good understanding of the existence and global asymptotic stability of positive periodic solutions is gained. It turns out that the impulsive perturbations play an important role and have effects on the above dynamics of the system. Numerical simulations are presented to verify the validity of the proposed criteria. Copyright © 2010 John Wiley & Sons, Ltd. 相似文献
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Dynamics of a non‐selective harvesting predator–prey model with Hassell–Varley type functional response and impulsive effects 下载免费PDF全文
Yaqin Li Shoude Huang Tianwei Zhang 《Mathematical Methods in the Applied Sciences》2016,39(2):189-201
This paper is concerned with a non‐selective harvesting predator–prey model with Hassell–Varley type functional response and impulsive effects. By using the fixed point theory based on monotone operator, some simple conditions are obtained for the existence of at least one positive periodic solution of the model. The existence result of this paper implies that the functional response on prey does not influence the existence of positive periodic solution of the model, which completes some results given in recent years. Further, by applying the comparison theorem in impulsive differential equations and constructing a suitable Lyapunov functional, the permanence and global attractivity of the model are also investigated. The main results in this paper extend, complement, and improve the previously known result. And some examples and numerical simulations are given to illustrate the feasibility and effectiveness of the main results. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
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具脉冲时滞的Duffing型方程的周期解 总被引:9,自引:0,他引:9
利用Mawhin重合度理论,研究了脉冲时滞Duffing型方程的周期解的存在性.本 文结果即使对相应的非脉冲Duffing型方程也是新的. 相似文献
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利用混合单调算子的不动点定理讨论了一类二阶奇异脉冲微分方程三点边值问题,得到了正解存在的一个充分条件. 相似文献