本文關鍵詞：脈沖微分方程在種群生態(tài)管理數(shù)學模型研究中的應用，由筆耕文化傳播整理發(fā)布。

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脈沖微分方程

    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.

    本文利用脈沖微分方程模型對這種情形進行了研究,并給出了保證種群持續(xù)生存的條件。

短句來源

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

    脈沖微分方程在種群生態(tài)管理數(shù)學模型研究中的應用

短句來源

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

    脈沖微分方程的漸近行為和周期解及其在種群生態(tài)學中的應用

短句來源

    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.

    得到了相應系統(tǒng)的持續(xù)生存性、系統(tǒng)的正周期解或概周期解的漸近性質(zhì),并以脈沖微分方程的理論為基礎,建立了帶有脈沖效應的Beddington型功能反應模型,系統(tǒng)地分析了所給系統(tǒng)的各種動力學行為,并借助國際通用計算機代數(shù)系統(tǒng)Maple對系統(tǒng)進行了計算機仿真,得到了系統(tǒng)發(fā)展長期行為的模擬圖。

短句來源

    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.

    經(jīng)過近三十年的研究,脈沖微分方程的理論已經(jīng)得到深入的發(fā)展,但是這些理論在實際中很難應用,全局穩(wěn)定性等幾乎沒有什么結果.

短句來源

    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.

    在數(shù)學處理上，脈沖的出現(xiàn)使得系統(tǒng)具有混合性，既有連續(xù)的特點，又有離散的特性，因而脈沖微分方程的理論也比相應的連續(xù)的微分方程理論豐富得多。

短句來源

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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論，研究非自治差分方程和脈沖微分方程周期解的存在性問題．本章主要考慮了三種群食物鏈模型和兩種群的互惠系統(tǒng)模型．

短句來源

    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.

    本文針對種群生態(tài)管理上的一些實際問題以及脈沖在這些實際問題上的意義建立具有脈沖效應的種群動力學模型,并以脈沖微分方程的理論為基礎,同時結合離散的、連續(xù)的動力系統(tǒng)和算子理論的相關理論和方法,并借助于計算機模擬討論所提出模型的各種動力學行為,包括周期解的存在性與全局穩(wěn)定性,一致持久性與滅絕性、系統(tǒng)的動力復雜性.

短句來源

    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.

    基于天敵助增,我們研究了具有脈沖效應的兩個食餌一個捕食者系統(tǒng),利用脈沖微分方程的Floquet乘子理論、比較定理和分析的方法,證明了兩個害蟲都被根除的周期解的全局漸近穩(wěn)定性,給出了系統(tǒng)持續(xù)生存的條件,和主要害蟲滅絕,次要害蟲(或者不是害蟲)和天敵持續(xù)生存的條件,此外還把連續(xù)釋放天敵與脈沖釋放天敵進行比較.

短句來源

    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應用背景的三個生態(tài)模型分別屬于上述的時變和脈沖微分方程。

短句來源

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

    此項研究,不僅可推動脈沖微分方程、最優(yōu)控制理論與算法的研究,還可降低實驗成本,為實現(xiàn)1,3-丙二醇的產(chǎn)業(yè)化生產(chǎn)提供理論指導。

短句來源

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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

更多          

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.

利用脈沖微分方程的比較原理 ,通過狀態(tài)反饋及輸出反饋對具有階段結構的單種群模型變換后的系統(tǒng)進行了脈沖控制·對成、幼年種群同時捕獲 ,首先通過狀態(tài)反饋 ,得到了使系統(tǒng)在正平衡點漸近穩(wěn)定的充分條件·然后通過輸出反饋得到了相應的結論·最后 ,對所實施的使系統(tǒng)漸近穩(wěn)定的脈沖控制 ,給出了脈沖控制時間間隔的上界估計值·文章的結論蘊含著系統(tǒng)的持續(xù)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.

本文利用脈沖微分方程的比較原理，通過狀態(tài)和輸出反饋研究了Ｌｏｔｋａ－Ｖｏｌｔｅｒｒａ捕食－被捕食系統(tǒng)的脈沖控制問題．得到了所研究模型的非負平衡點漸近穩(wěn)定的充分條件．對于所實施的使系統(tǒng)漸近穩(wěn)定的脈沖控制，，給出了脈沖控制時間間隔的上界估計值．

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.

討論了一類在周期變化環(huán)境中的浮游生物植化相克的競爭模型．模型由一個修正的周期系數(shù)Lotka-Volterra競爭模型及一些周期脈沖作用條件描述．利用脈沖微分方程的比較原理研究了系統(tǒng)的全局漸近性質(zhì),獲得了系統(tǒng)持續(xù)生存的一組充分條件．

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  本文關鍵詞：脈沖微分方程在種群生態(tài)管理數(shù)學模型研究中的應用，由筆耕文化傳播整理發(fā)布。