GLOBAL ATTRACTIVITY IN A MODEL OF BOBWHITE QUAIL WITH DELAY

1IlltroductionInl99o,MiltinandB.lairl1]raisedadifferenceequationasapopulationmodelforthegrowthofthebobwhitequailpopulationofnorthernWisconsin.Inl994,Ladas,G.proposedthefollowingopenproblem[']:"(a)Investigatetheboundedness,persistence,permanence,oscillation,periodicity,andglobalattractivity;(b)ExtendEq.(*)byintroducingdelaysintothemodel,andinvestigatethedelayedequation.".Inl996,TangHeng-shengandOuChun-hua[3]considereditsglobalattrac-tivity,partlyansweredaboveopenproblem(a).Inl999,byintrodu…     

EXISTENCE AND GLOBAL ATTRACTIVITY OF POSITIVE PERIODIC SOLUTION OF A LOGISTIC GROWTH SYSTEM WITH FEEDBACK CONTROL AND DEVIATING ARGUMENTS

1 IntroductionIn recent years5 the application of theories of functional differential equationsin mathematical ecology has been developed rapidIy. Various mathematicalmodels have been proposed in the study of population dynarnics, ecology andepidemic. Some of them are described as non-autonomous delay differentialequations. Many authors studied the dynamics of population with deIays whichis usefuI for the control of the population of the mankind, animals and theenvironment. One of the famous…     

一类新的含有垂直传染与脉冲免疫的时滞SEIR传染病模型的全局动力学行为

对一个带有有害时滞与垂直传染的SEIR传染病模型,在脉冲免疫接种条件下,分析了其动力学行为．运用离散动力系统的频闪映射,获得了一个‘无病’周期解,证明了当模型的一些参数在适当的条件下,该‘无病’周期解是全局吸引的．运用脉冲时滞泛函微分方程理论,获得了含有时滞的持久性的充分条件,并且证明了时滞、脉冲免疫与垂直传染对模型的动力学行为能够产生显著的影响．结论表明该时滞是“有害”时滞．     

非线性时滞差分方程的持续生存和渐近性质

研究了一类非线性时滞差分方程解的渐近性质,得到了方程持续生存和全局吸引的充分条件.这些结果可应用于一类非线性时滞差分方程和时滞离散Logistic模型,并包含了一些已知的结果.     

Stability and bifurcation in a two variable delay model for circadian rhythm of Neurospora crassa

A two variable delay model for circadian rhythm of Neurospora crassa is considered in this paper. Conditions for the global attractivity of the unique positive equilibrium are given. Moreover, Hopf bifurcation and the global continuation of the Hopf bifurcation branches are addressed through a global Hopf bifurcation result.     

具有时滞的离散捕食者-食饵系统的分析

建立了具有Holling I功能反应的离散时滞捕食与被捕食模型,引用已有的结论证明了系统的永久持续性,并且构造Lyapunov函数证明了系统正解的全局吸引性.     

具有分布时滞和捕食者非密度制约的捕食-食饵系统的动力学行为研究

研究了具有分布时滞和捕食者非密度制约的捕食-食饵系统的动力学性质.应用微分方程比较原理,叠合度定理和Lyapunov函数的方法,得到了捕食者种群的灭绝性以及系统正周期解的存在性和全局吸引性的充分条件.     

含阶段结构的单种群模型正周期解的存在性与全局吸引性

研究了具有阶段结构的非自治单种群模型.运用叠合度定理和Lyapunov函数的方法,得到了模型的正周期解的存在性和全局吸引性的充分条件.     

两个企业竞争与合作动力学模型的动力学行为

研究了非自治两个企业竞争与合作动力学模型的动力学行为.首先利用微分方程比较原理得到了模型的有界性、持久性和灭绝性的充分条件.然后通过构造Lyapunov函数得到了模型的全局吸引性的充分条件.最后针对所得到的理论结果给出了例子和数值模拟.