位置：成果数据库 > 期刊 > 期刊详情页
具有垂直传染的SIR脉冲预防接种模型
  • ISSN号：1001-9847
  • 期刊名称：《应用数学》
  • 时间：0
  • 分类：O175[理学—数学;理学—基础数学]
  • 作者机构：[1]山东科技大学理学院
  • 相关基金：国家自然科学基金资助项目(10771179);; 山东科技大学“春蕾计划”项目(2008BWZ076)
作者： 赵文才[1], 孟新柱[1]
关键词： 垂直传染, 脉冲免疫接种, 周期解, 全局渐近稳定性, 持久性, Vertical transmission, Pulse vaccination, Periodic solution, Global asymptotic stability, Permanence
中文摘要：

研究了一类具有垂直传染的脉冲免疫接种SIR模型,采用传染率βI(1+vI)S,得到了无病周期解,给出了此周期解的全局稳定性分析.并获得了系统一致持续生存的条件.

英文摘要：

In this paper,an SIR epidemic disease model with vertical transmission and pulse vaccination is investigated.Used an incidence rate of the form βI(1+vI)S,an 'infection-free' periodic solution is obtained,and the analysis of global stability of the 'infection-free' periodic solution is given.Furthermore,the sufficient condition for permanence of the system is obtained.

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
同项目期刊论文
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
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
Existence and global stability of periodic solution for impulsive predator-prey model with diffusion
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
Comment on “Existence and stability of periodic solution of a Lotka–Volterra predator–prey model wit
A study on time-limited control of single-pest with stage-structure
Qualitative analysis of a variable yield turbidostat model with impulsive state feedback control
Mathematical models of restoration and control of a single species with Allee effect
The dynamics of an eco-epidemiological model with distributed delay
Extinction and permanence of chemostat model with pulsed input in a polluted environment
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
Harvesting on a stage-structured single population model with mature individuals in a polluted envir
A single stage-structured population model with mature individuals in a polluted environment and pul
A delayed stage-structured Holling II predator–prey model with mutual interference and impulsive per
Mathematical modelling to control a pest population by infected pests
Dynamic complexity of microbial pesticide model
Dynamic analysis of a pest management SEI model with saturation incidence concerning impulsive contr
Mathematical Model for the control of a pest population with impulsive perturbations on diseased pes
Pulse vaccination on SEIR epidemic model with nonlinear incidence rate
Analysis of saturation incidence SVEIRS epidemic model with pulse and two time delays
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
Stability and Hopf bifurcation on a model for HIV infection of CD4$^+$ T cells with delay
Dynamic analysis of a kind of species control model concerning impulsively releasing pathogen and in
Dynamic analysis of lactic acid fermentation in membrane bioreactor
Periodic solution of a turbidostat system with impulsive state feedback control
Global attractivity and permanence of a delayed SVEIR epidemic model with pulse vaccination and satu
Global attractivity and permanence of a SVEIR epidemic model with pulse vaccination and time delay
Analysis of pulse vaccination strategy in SIRVS epidemic model
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
Strict practical stability of nonlinear impulsive systems by employing two Lyapunov-like functions
On the impulsive controllability and bifurcation of a predator–pest model of IPM
Bifurcation of nontrivial periodic solutions for an impulsively controlled pest management model
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)
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）
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
A Stage-structured Three-species Model with Intra-guild Predation and Disturbing Pulse
Cover a 3-regular Claw-free Graph by Induced Matchings
A Kind of Predator-prey System of Holling Type II and Interaction Perturbation with Impulsive Effect
一类食物-物种系统的最优管理研究
一类具有时滞和阶段结构的捕食系统的全局分析
一类具有阶段结构和时滞的捕食者-食饵模型分析
一类带阶段结构的Lotka-Volterra竞争系统的动力学行为
具有生物控制和化学控制的SEI害虫管理模型
一类具有时滞和非单调感染率传染病模型的局部性质
具有脉冲接种和急慢性阶段的流行病动力学研究
一类带有饱和感染率的时滞SIR传染病模型研究（英文）
一类具有反应扩散和脉冲效应的Holling—Tanner捕食食饵模型研究
带脉冲免疫和时滞的传染病模型分析
脉冲接种作用下具有时滞的传染病模型分析
一类具有时滞的Beddington-DeAngelis恒化器模型
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
脉冲治理害虫在一个新的生态——传染病模型中的应用
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
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
具有阶段时滞结构的生态-流行病模型的生物防治策略
捕食者具有年龄结构和时滞的Lotka—volterra模型的持续生存
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
期刊信息
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
  • 邮编：430074
  • 邮箱：yysx_hust@163.com
  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
  • 获奖情况:
  • 中国科学引文数据库来源期刊,中国学术期刊综合评价数据库来源期刊
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,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:4139