脉冲微分方程 在 生物学 分类中 的翻译结果

  本文关键词：脉冲微分方程在种群生态管理数学模型研究中的应用，由笔耕文化传播整理发布。

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农业基础科学

脉冲微分方程

    In thisdissertation we have described the case by some impulsive differential equation models andgiven some threshold conditions which can keep the populations persistent survival orextinction.

    本文利用脉冲微分方程模型对这种情形进行了研究,并给出了保证种群持续生存的条件。

短句来源

    The Application of Impulsive Differential Equations in Mathematical Modelling of Population Ecology Management

    脉冲微分方程在种群生态管理数学模型研究中的应用

短句来源

    Asymptotic Behavior,Periodic Solution of Impulsive Differential Equations and Its Applications in Population Ecology

    脉冲微分方程的渐近行为和周期解及其在种群生态学中的应用

短句来源

    And we mainly probed into the permanence, the existence of the positive periodic solution or the almost-periodic solution and the asymptotic behavior of the corresponding system in this thesis. Based on an impulsive differential equations’theory, we introduce dynamical models with Beddington type functional response and pulse.

    得到了相应系统的持续生存性、系统的正周期解或概周期解的渐近性质,并以脉冲微分方程的理论为基础,建立了带有脉冲效应的Beddington型功能反应模型,系统地分析了所给系统的各种动力学行为,并借助国际通用计算机代数系统Maple对系统进行了计算机仿真,得到了系统发展长期行为的模拟图。

短句来源

    Fairly rich results have been made for the theories of impulsive differential equations for almost thirty years. However, these theories are hard to be applied and there are almost no developments in the study of global stability.

    经过近三十年的研究,脉冲微分方程的理论已经得到深入的发展,但是这些理论在实际中很难应用,全局稳定性等几乎没有什么结果.

短句来源

    In terms of the mathematical treatment, the presence of impulses gives the system a mixed nature, both continuous and discrete. The theory of impulsive differential equations is much richer than the corresponding theory of differential equations without impulsive effects.

    在数学处理上，脉冲的出现使得系统具有混合性，既有连续的特点，又有离散的特性，因而脉冲微分方程的理论也比相应的连续的微分方程理论丰富得多。

短句来源

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    Chapter 4, consists of three different reaction-diffusion predator-prey models of partial differential equations with age-structured, in-cluding under the harvesting condition and in a polluted enviornment, and cross-diffusion besides self-diffusion , study the global asymptotical stability of uniform steady state, we compare the role of diffusion for stability.

    第五章利用迭合度理论，研究非自治差分方程和脉冲微分方程周期解的存在性问题．本章主要考虑了三种群食物链模型和两种群的互惠系统模型．

短句来源

    In this dissertation, population dynamic models with impulsive effect are established concerning some actual problems of population ecology management and the meaning of impulse in these problems. Mathematically, a combination of approaches to discrete dynamics, continuous dynamics, impulsive dynamics, operator theory and numerical simulations are used to investigate dynamical behaviors including the existence and global stability of periodic solutions, permanence and extinction and all kinds of complexities.

    本文针对种群生态管理上的一些实际问题以及脉冲在这些实际问题上的意义建立具有脉冲效应的种群动力学模型,并以脉冲微分方程的理论为基础,同时结合离散的、连续的动力系统和算子理论的相关理论和方法,并借助于计算机模拟讨论所提出模型的各种动力学行为,包括周期解的存在性与全局稳定性,一致持久性与灭绝性、系统的动力复杂性.

短句来源

    Two-prey one-predator system with impulsive effect is investigated concerning augmentation of natural enemies. By using Floquet theory, two-pest eradication periodic solution is shown to be globally asymptotically stable.

    基于天敌助增,我们研究了具有脉冲效应的两个食饵一个捕食者系统,利用脉冲微分方程的Floquet乘子理论、比较定理和分析的方法,证明了两个害虫都被根除的周期解的全局渐近稳定性,给出了系统持续生存的条件,和主要害虫灭绝,次要害虫(或者不是害虫)和天敌持续生存的条件,此外还把连续释放天敌与脉冲释放天敌进行比较.

短句来源

    Our three models in this paper which have different applicative background respectively are of these two kinds of differential system.

    本文研究的基于不同应用背景的三个生态模型分别属于上述的时变和脉冲微分方程。

短句来源

    The results in this dissertation provide certain referrence for industrialization of 1,3-propanediol production by fermentation.

    此项研究,不仅可推动脉冲微分方程、最优控制理论与算法的研究,还可降低实验成本,为实现1,3-丙二醇的产业化生产提供理论指导。

短句来源

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  impulsive differential equation

Ordinary dichotomy and perturbations of the impulse matrices of linear impulsive differential equation

We prove that the solutions of an impulsive differential equation depend continuously on a small parameter under the assumption that the right-hand side of the equation and the impulse operators satisfy conditions of Lipschitz type.

By means of the Schauder-Tychonoff theorem an asymptotic equivalence is proved between a linear impulsive differential equation which is (h, k)-dichotomous and the corresponding perturbed nonlinear equation.

The impulsive differential equation with several retarded arguments is considered, where pi(t) ≥ 0, 1 + bk >amp;gt; 0 for i = 1, ..., m, t ≥ 0, .

  impulsive differential equations

Existence of solutions for second order impulsive differential equations

Existence of solutions of Sturm-Liouville boundary value problems for nonlinear second order impulsive differential equations in

In this paper, the fixed point theorem is applied to investigate the existence of solutions of Sturm-Liouville boundary value problems for nonlinear second order impulsive differential equations in Banach spaces.

Existence of solutions for nonlinear boundary value problems of impulsive differential equations

Strict Stability of Impulsive Differential Equations

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According to the comparasion theorem of impulsive differential equations, the problem of impulsive control for a single species model with stage structure is investigated with state feedback and output feedback. First,by harvesting mature population and immature population, a sufficient condition which guarantees the asymptotical stability of the positive equilibrium is established with state feedback. Secondly, the corresponding result is obtained with output feedback. Finally, for the impulsive controls...

According to the comparasion theorem of impulsive differential equations, the problem of impulsive control for a single species model with stage structure is investigated with state feedback and output feedback. First,by harvesting mature population and immature population, a sufficient condition which guarantees the asymptotical stability of the positive equilibrium is established with state feedback. Secondly, the corresponding result is obtained with output feedback. Finally, for the impulsive controls which make the system asymptotically stable, the estimates of the upper bound of impulsive interval are obtained. The results given there implicate persistence of the system.

利用脉冲微分方程的比较原理 ,通过状态反馈及输出反馈对具有阶段结构的单种群模型变换后的系统进行了脉冲控制·对成、幼年种群同时捕获 ,首先通过状态反馈 ,得到了使系统在正平衡点渐近稳定的充分条件·然后通过输出反馈得到了相应的结论·最后 ,对所实施的使系统渐近稳定的脉冲控制 ,给出了脉冲控制时间间隔的上界估计值·文章的结论蕴含着系统的持续生存

In this paper, the impulsive contro1 of a Lotka-Volterra predator-prey system is investigated by comparison theorem of impulsive differential system, state feedback and output feedback. The sufficient conditions for the asymptotic stibility of the Lotka-Volterra predator- prey system are obtained. For two kinds of impulsive controls which make the system be stable, the estimates of the upper bound of Δri are given.

本文利用脉冲微分方程的比较原理，通过状态和输出反馈研究了Ｌｏｔｋａ－Ｖｏｌｔｅｒｒａ捕食－被捕食系统的脉冲控制问题．得到了所研究模型的非负平衡点渐近稳定的充分条件．对于所实施的使系统渐近稳定的脉冲控制，，给出了脉冲控制时间间隔的上界估计值．

The mathematical model of two competing species of plankton allelopathy in a periodically changing environment with instantaneous changes in the population densities is investigated. The model is described by a coupled improved system of Lotka-Volterra together with periodically pulsed conditions. The asymptotic properties of the system are researched by using the comparison theorem of impulsive ordinary differential equations.

讨论了一类在周期变化环境中的浮游生物植化相克的竞争模型．模型由一个修正的周期系数Lotka-Volterra竞争模型及一些周期脉冲作用条件描述．利用脉冲微分方程的比较原理研究了系统的全局渐近性质,获得了系统持续生存的一组充分条件．

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  本文关键词：脉冲微分方程在种群生态管理数学模型研究中的应用，由笔耕文化传播整理发布。