1.we present a modification of SIR model to study worm propagation. The dynamics of this model under pulse control are analyzed which we referred to as the Worms Propagation with Impulsive Control (WPIC) model.
基于改进的SIR模型的基础上,讨论并研究了脉冲作用下的蠕虫传播模型(the Worms Propagation with Impulsive Control,WPIC model)。
2.In Chapter 2,3 and 4, by using the theories of continuous dynamics,impulsive dynamics, discrete dynamics and the methods of nonlinear analysis, mathematical simulation, the paper investigates the impulsive release strategies of epidemic models for pest control, the existences and stabilities for the periodic solutions of impulsive dynamical systems for one species , two species and N species with Gom-pertz law of groth.
第二、第三和第四章结合离散动力系统、连续动力系统和脉冲动力系统的相关理论，并运用非线性分析和数值模拟的方法，系统地研究了脉冲效应对开发的流行病SI模型、单种群、两种群和N-种群Gompertz系统的周期解的存在性、唯一性和稳定性等的影响，并提出了单种群最优脉冲收获策略，为可更新资源的开发和可持续发展提供了理论依据。
3.In this paper, sufficient conditions are given for impulsive functional differential asymptotic stability of impulsive functional differential equation of the form (The equation is abbreviated) and these conditions extend or improve the corresponding ones in [7-9].
摘要该文讨论脉冲泛函微分方程(方程式略)给出了方程零解渐近稳定性和一致渐近稳定性的充分条件，指出这些条件推广或改进了文献[7-9]的相应结论。
4.In this paper,a classical periodic two prey and a predator predator-prey system with impulsive effect is investigated.The boundedness of system and the local stability of trivial or semi-trivial periodic solution are proved by using comparative theorem and multipliers theory of impulsive differential equation.A set of sufficient conditions are derived for the existence of at least one positive periodic solution,by using the method of coincidence degree.
本文讨论一类具有脉冲效应和周期系数的两个食饵一个捕食者的捕食-食饵系统的动力学行为.利用脉冲微分方程比较定理和乘子理论,证明了系统的有界性,讨论了平凡周期解和半平凡周期解的稳定性,利用重合度的理论给出了系统存在周期正解的充分条件.
5.Such impulsive acts as hugging strangers; impulsive generosity.
比如拥抱陌生人这种冲动的举止；一时冲动的慷慨大方
6.Applying upper and lower solution method,fixed point theorem,measure of noncompactness and fixed point index on a cone, theexistence, uniqueness and nonexistence for a class of second order impulsive singulardifferential equations on the half-line are discussed in this paper, and the impulsive effecton differential equations is also revealed . The contexts of this paper are presented asfollowing.
主要利用上下解方法、不动点定理、非紧性测度和锥上的不动点指数理论等工具研究半直线上二阶脉冲奇异微分方程解的存在性、唯一性及不存在性,讨论了脉冲对半直线上的二阶脉冲奇异微分方程的影响和作用.
7.The present paper deals with oscillatory properties of solutions for a class of nonlinear impulsive neutral delay parabolic partial differential equations and some new sufficient criteria for oscillation of the equations are obtained under Robin and Dirichlet boundary value conditions via impulsive neutral differential inequalities of first order.
摘要研究一类非线性脉冲中立型时滞抛物偏微分方程解的振动性，借助一阶脉冲中立型微分不等式，获得了该类方程在两类不同边值条件下振动的若干新的充分性判据。
8.This paper deals with the existence of almost periodic solutions of linear impulsive delay differential equations as follows, (The equation is abbreviated) by using the fixed point theorem of contraction mapping principle we present a set of sufficient conditions to ensure the existence and uniqueness of almost periodic solutions of impulsive delay differential equations in some closed convex set.
摘要基于压缩不动点原理，考虑一类具有脉冲效应的时滞微分方程(方程式略)概周期解的存在性问题，在一定条件下获得了系统存在唯一概周期的一组充分条件。
9.[b]TIPS:[/b] Your persistence will lead you to success. But your impulsive temper may cause problems.
学习相[/b]坚持会使你成功，但是爱冲动的毛病也会带来麻烦。
10.A person should be vivacious but disciplined, innocent but not childish, courageous but not rash, unyielding but principled, enthusiastic but not impulsive, optimistic but not blind.
一个人应该：活泼而守纪律，天真而不幼稚，勇敢而不鲁莽，倔强而有原则，热情而不冲动，乐观而不盲目。
