位置：成果数据库 > 期刊 > 期刊详情页
一类新的污染环境下具有时滞增长反应及脉冲输入的Monod恒化器模型的定性分析
  • ISSN号：1000-0887
  • 期刊名称：《应用数学和力学》
  • 时间：0
  • 分类：O175[理学—数学;理学—基础数学]
  • 作者机构：[1]大连理工大学应用数学系,辽宁大连116024, [2]山东科技大学理学院,山东青岛266510, [3]中国科学院数学与系统科学研究院,北京100080
  • 相关基金：国家自然科学基金资助项目（10471117;10771179） 致谢 感谢山东科技大学科学与发展基金（05g016）的资助.
作者： 孟新柱[1,2], 赵秋兰[2], 陈兰荪[1,3]
关键词： 持久性, 脉冲输入, 恒化器模型, 增长反应时滞, 灭绝, permanence, impulsive input, chemostat model, time delay for growth response, extinction
中文摘要：

考虑了一类新的污染环境下具有时滞增长反应及脉冲输入的Monod恒化器模型．运用离散动力系统的频闪映射，获得了一个‘微生物灭绝’周期解，进一步获得了该周期解全局吸引的充分条件．运用脉冲时滞泛函微分方程新的计算技巧，证明了系统在适当的条件下是持久的，结论还表明该时滞是“有害”时滞．

英文摘要：

A new Monod type chemostat model is considered with time delay and pulsed input concentration of the nutrient in a polluted environment. Using the discrete dynamical system determined by the stroboscopic map, a‘ microorganism-extinction＇ periodic solution is obtained. Further more, the sufficient conditions for the global attractivity of the microorganism-extinction periodic solution are established. Using new computational techniques for impulsive and delayed differential equation, it is proved that the system is permanent under appropriate conditions. The results show that time delay is ＂profitless＂.

同期刊论文项目
状态脉冲及脉冲微分方程边值问题研究与应用
期刊论文 109 会议论文 3
脉冲生物动力系统的稳定性和周期解
期刊论文 41 著作 1
同项目期刊论文
Dynamical behavior of a delay virus dynamics model with CTL immune response
Stability and Hopf bifurcation for a viral infection model with delayed non-lytic immune response
A modified Leslie–Gower predator–prey model with prey
Analysis of an impulsive pest management SEI model with nonlinear incidence rate
Properties of stability and Hopf bifurcation for a HIV infection model with time delay
Feasibility of time-limited control of a competition system with impulsive harvest
Study on stability of nonlinear differential equations with initial time difference
A predator-prey system with two impulses on the diseased prey and a Beddington-DeAngelis response
Dynamical behaviors of a trimolecular response model with impulsive input
Modelling and simulation of a continuous process with feedback control and pulse feeding
Dynamical behavior for an eco-epidemiological model with discrete and distributed delay
Studies on the dynamics of a continuous bioprocess with impulsive state feedback control
Periodic solution of a turbidostat model with impulsive state feedback control
Dynamic analysis of mathematical model of ethanol fermentation with gas stripping
Harvesting policy for a delayed stage-structured Holling II predator–prey model with impulsive stock
Effect of delayed response in growth on the dynamics of a chemostat model with impulsive input
Some new results for a logistic almost periodic system with infinite delay and discrete delay
The effects of impulsive harvest on a predator–prey system with distributed time delay
Staged-structured Lotka–Volterra predator–prey models for pest management
Practical stability of nonlinear differential equation with initial time difference
A stage-structured predator-prey model with disturbing pulse and time delays
Dynamical behavior of a virus dynamics model with CTL immune response
Analysis of a stage-structured predator-prey system with impulsive perturbations and time delays
Time-limited pest control of a Lotka–Volterra model with impulsive harvest
Periodic solution of a chemostat model with Beddington–DeAnglis uptake function and impulsive state
Two profitless delays for an SEIRS epidemic disease model with vertical transmission and pulse vacci
Periodic solution of a chemostat model with Monod growth rate and impulsive state feedback control
A predator–prey model with disease in the prey and two impulses for integrated pest management
Eco-epidemiology model with age structure and prey-dependent consumption for pest management
Permanence and periodicity of a delayed ratio-dependent predator–prey model with Holling type functi
Analysis of a delay prey-predator model with disease in the prey species only
Analysis of a stage structured predator-prey Gompertz model with disturbing pulse and delay
A delay differential equation model of HIV infection of CD4+ T -cells with cure rate
A differential equation model of HIV infection of CD4(+) T-cells with cure rate
The dynamics of a new SIR epidemic model concerning pulse vaccination strategy
Study of Lotka-volterra food chain chemostat with periodically varying dilution rate
Time-limited management strategies of a single species with allee effect
Dynamical behaviors of the brusselator system with impulsive input
Analysis of a Beddington–DeAngelis food chain chemostat with periodically varying substrate
Toxic action and antibiotic in the chemostat: permanence and extinction of a model with functional r
Analysis of the dynamical behavior for enzyme-catalyzed reactions with impulsive input
Global stability of a stage-structured predator prey system
Dynamic behaviors of a kind of predator-prey system with Ivlev’s and Beddington-Deangelis functional
Impulsive vaccination of SEIR epidemic model with time delay and nonlinear incidence rate
Dynamics of a predator-prey system with pulses
Qualitative analysis and applications of a kind of state-dependent impulsive differential equations
Mathematical models for the control of a pest population by infected pest
具有阶段结构和Leslie-Gower HollingⅡ功能性反应的脉冲食饵-捕食系统(英文)
连续收获捕食者与脉冲存放食饵的阶段结构捕食-食饵模型的全局吸引和一致持久
一个四分子饱和可逆生化反应模型的定性分析
一类具有垂直传染与接种的DS-I-R传染病模型研究
一个阶段时滞结构的生态-流行病模型的害虫综合防治策略
Selecting harvesting in a predator-prey system with stage structure for prey
一类具有寄生虫感染的捕食食饵模型分析
食饵具有流行病的阶段结构捕食模型
A STAGE-STRUCTURED SI ECO-EPIDEMIOLOGICAL MODEL WITH TIME DELAY AND IMPULSIVE CONTROLLING
Global qualitative analysis of new Monod type chemostat model with delayed growth response and pulsed input in polluted environment
由于表格太小，请见另增加页
A STAGE-STRUCTURED SI ECO-EPIDEMIOLOGICAL MODEL WITH TIME DELAY AND IMPULSIVE CONTROLLING
具脉冲控制的害虫管理SI模型
一类具有饱和反应率的脉冲免疫接种的SIS模型
非自治Lotka-Volterra型捕食扩散系统中有害时滞对该系统持久性的影响
一类具有Crowley-Martin型的恒化器模型的定性分析
一类带有不同功能性反应和脉冲投放的捕食系统
具有阶段结构和时滞比率依赖的捕食系统的持续生存和稳定性
具有种群Logistic增长及饱和传染率的SIS模型的稳定性和Hopf分支
带有扩散的捕食与被捕食系统的周期解的存在性
一类具有相互干扰的两种群捕食系统
一类带有脉冲输入的捕食者-食饵恒化器模型的动力学性质
一类带有线性与比率依赖功能性反应和脉冲投放的捕食系统
一类带有时滞和阶段结构的竞争系统的动力学分析
一类阶段结构的捕食系统持续生存
一类具有周期免疫反应的HIV感染模型的阈值动力学
一类带有治愈率的HIV感染的CD4＋T细胞模型的动力学性质
食饵具脉冲扰动与捕食者具连续收获的时滞捕食-食饵模型
一类带有功能性反应和脉冲效应的捕食系统的动力学性质
一类具有阶段结构和时滞的捕食系统的持续生存和稳定性
捕食者具脉冲扰动与相互干扰的阶段结构冰时滞捕食-食饵模型
具有阶段结构和时滞的幼年染病单种群模型研究
具非线性传染率与生物化学控制的害虫管理S-I模型
基于脉冲扰动作用下一个捕食者-两个食饵模型的动力学性质
感染率为βIS／（1＋R）的SIR流行病脉冲接种模型
具有垂直传染的SIR脉冲预防接种模型
一类具有时滞的Beddington-DeAngelis恒化器模型
脉冲接种作用下具有时滞的传染病模型分析
带脉冲免疫和时滞的传染病模型分析
一类具有反应扩散和脉冲效应的Holling—Tanner捕食食饵模型研究
一类带有饱和感染率的时滞SIR传染病模型研究（英文）
具有脉冲接种和急慢性阶段的流行病动力学研究
一类具有时滞和非单调感染率传染病模型的局部性质
具有生物控制和化学控制的SEI害虫管理模型
一类带阶段结构的Lotka-Volterra竞争系统的动力学行为
一类具有阶段结构和时滞的捕食者-食饵模型分析
一类具有时滞和阶段结构的捕食系统的全局分析
一类食物-物种系统的最优管理研究
A Kind of Predator-prey System of Holling Type II and Interaction Perturbation with Impulsive Effect
Cover a 3-regular Claw-free Graph by Induced Matchings
A Stage-structured Three-species Model with Intra-guild Predation and Disturbing Pulse
一类带有ATL反应和治愈率的传染病模型的全局稳定性研究
一类具有非单调感染率的时滞传染病模型的全局稳定性（英文）
Bifurcation of nontrivial periodic solutions for an impulsively controlled pest management model
On the impulsive controllability and bifurcation of a predator–pest model of IPM
Strict practical stability of nonlinear impulsive systems by employing two Lyapunov-like functions
Analysis of pulse vaccination strategy in SIRVS epidemic model
Global attractivity and permanence of a SVEIR epidemic model with pulse vaccination and time delay
Global attractivity and permanence of a delayed SVEIR epidemic model with pulse vaccination and satu
Periodic solution of a turbidostat system with impulsive state feedback control
Dynamic analysis of lactic acid fermentation in membrane bioreactor
Dynamic analysis of a kind of species control model concerning impulsively releasing pathogen and in
Stability and Hopf bifurcation on a model for HIV infection of CD4$^+$ T cells with delay
Analysis of saturation incidence SVEIRS epidemic model with pulse and two time delays
Pulse vaccination on SEIR epidemic model with nonlinear incidence rate
Mathematical Model for the control of a pest population with impulsive perturbations on diseased pes
Dynamic analysis of a pest management SEI model with saturation incidence concerning impulsive contr
Dynamic complexity of microbial pesticide model
Mathematical modelling to control a pest population by infected pests
A delayed stage-structured Holling II predator–prey model with mutual interference and impulsive per
A single stage-structured population model with mature individuals in a polluted environment and pul
Harvesting on a stage-structured single population model with mature individuals in a polluted envir
Extinction and permanence of chemostat model with pulsed input in a polluted environment
The dynamics of an eco-epidemiological model with distributed delay
Mathematical models of restoration and control of a single species with Allee effect
Qualitative analysis of a variable yield turbidostat model with impulsive state feedback control
A study on time-limited control of single-pest with stage-structure
Comment on “Existence and stability of periodic solution of a Lotka–Volterra predator–prey model wit
Existence and global stability of periodic solution for impulsive predator-prey model with diffusion
用扰动Lyapunov函数研究非线性微分方程关于初始时刻偏差的稳定性
捕食者具有年龄结构和时滞的Lotka—volterra模型的持续生存
具有阶段时滞结构的生态-流行病模型的生物防治策略
脉冲治理害虫在一个新的生态——传染病模型中的应用
污染环境下具有脉冲输入环境毒素的单种群模型的灭绝阈值研究
一类具有脉冲接种和饱和接触率的SIRS传染病模型
一个应力边界条件下平面弹性问题的Locking-free有限元方法
一类捕食-食饵系统绝灭的充分条件
杀虫剂在农业害虫管理上的合理使用
一类具有脉冲效应的恒化器数学模型
BIFURCATION AND COMPLEXITY IN A RATIO-DEPENDENT PREDATOR-PREY CHEMOSTAT WITH PULSED INPUT
脉冲扰动作用的捕食者-食饵模型的动力学性质
Nonlinear incidence rate of a pest management SI model with biological and chemical control concern
具有免疫接种及饱和传染率的传染病模型分析
Global dynamics behaviors for new delay SEIR epidemic disease model with vertical transmission and pulse vaccination
Global qualitative analysis of new Monod type chemostat model with delayed growth response and pulsed input in polluted environment
Delayed stage-structured predator-prey model with impulsive perturbations on predator and chemical control on prey
一类带有非线性传染率的病毒动力学模型的全局稳定性
基于蓝藻水华控制的脉冲微分方程模型
AN SEIRS EPIDEMIC MODEL WITH TWO DELAYS AND PULSE VACCINATION
期刊信息
  • 《应用数学和力学》
  • 中国科技核心期刊
  • 主管单位:重庆交通大学
  • 主办单位:重庆交通大学
  • 主编：钟万勰
  • 地址：重庆南岸区重庆交通大学90信箱
  • 邮编：400074
  • 邮箱：applmathmech@cqjtu.edu.cn
  • 电话：023-62652450
  • 国际标准刊号：ISSN：1000-0887
  • 国内统一刊号：ISSN：50-1060/O3
  • 邮发代号:78-21
  • 获奖情况:
  • 国际工程索引（EI）收录期刊,我国力学类核心期刊,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,日本日本科学技术振兴机构数据库,美国应用力学评论,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:8965