位置：成果数据库 > 期刊 > 期刊详情页
Global stability of an epidemic model for vector-borne disease
  • 期刊名称：Journal of Systems Science and Complexity
  • 时间：0
  • 页码：279-292
  • 分类：O177.92[理学—数学;理学—基础数学] O29[理学—应用数学;理学—数学]
  • 作者机构：[1]信阳师范学院数学与信息科学学院,河南信阳464000, [2]运城学院数学系,山西运城044000
  • 相关基金：国家自然科学基金（10671166）;河南省杰出青年科学基金（0312002000）
  • 相关项目：传染病动力学中的若干问题与方法研究
作者： Hong-Zhi Yang|Hui-Ming Wei|Xue-Zhi Li|
关键词： 重复感染, 染病年龄, 再生数, SIJR流行病模型, 稳定性, two-strain SIJR epidemic model, superinfection, age of infection, basic reproductive number, steady state
中文摘要：

建立和研究了具有染病年龄结构和重复感染的两菌株SIJR流行病模型，得到了与两菌株相对应的基本再生数的表达式，给出了无病平衡点，各菌株占优平衡点以及共存平衡点的存在性和稳定性条件．最后详细讨论了该模型的特殊情形一重复感染率为常数的情形．

英文摘要：

This infection and supe paper formulates and analyzes a two-strain SIJR epidemic model with age of rinfection. The two basic reproductive numbers corresponding to the two strains are obtained, the existence and stability conditions of strain dominated equilibria and coexistence equilibrium are given. In the final part of this paper,a special case of this model is disscused, the simulation of ODE model is performed.

同期刊论文项目
多菌株传染病动力学的数学建模与研究
期刊论文 53
年龄结构的流行病动力学研究
期刊论文 38 获奖 6 著作 1
传染病动力学中的若干问题与方法研究
期刊论文 42 会议论文 1 著作 1
同项目期刊论文
Analysis of a delayed HIV/AIDS epidemic model with saturation incidence
A ratio-dependent predator-prey model with stage structure and optimal harvesting policy
Modeling and analysis of a harvesting fishery model in a two-patch environment
Mathematical analysis of an age-structured epidemiological model for hepatitis C
潜伏期具有传染性的年龄结构MSEIS流行病模型的稳定性
带有感染抑制的丙型肝炎病毒(HCV)模型的分析
A note on global stability of an SEI epidemic model with acute and chronic stages
An epidemic model of a vector-borne disease with direct transmission and time delay
Positive periodic solutions for a nonautonomous delayed predator-prey system with diffusion and impu
庞加莱指数在一个带有接种疫苗的SIS流行病模型中的应用(英文)
一类具有非单调发生率SIS流行病模型的分析(英文)
具有感染年龄结构的CD4~+T-细胞感染HIV病毒模型分析
潜伏期和染病期均具有康复的年龄结构MSEIS流行病模型的稳定性
Analysis of a SEIV epidemic model with a nonlinear incidence rate
Stability and Hopf bifurcation in a delayed model for HIV infection of CD4+T cells
Stability and bifurcation of an SIS epidemic model with treatment
Stability and bifurcation of an SIVS epidemic model with treatment and age of vaccination
An age-structured two-strain epidemic model with super-infection
Global stability of an SEIR epidemic model with vertical transmission and saturating contact rate
Dynamics of a nonautonomous predator-prey dispersion-delay system with Beddington-DeAngelis function
Stability and bifurcation of an SIR epidemic model with nonlinear incidence and treatment
Stability of an age-structured SEIR epidemic model with infectivity in latent period,
Epidemic model with vaccinated age that exhibits backward bifurcation
Robust stability analysis of static neural network with S-type distributed delays
Pathogen Coexistence induced by saturating contact rates
Stability analysis of an HIV/AIDS epidemic model with treatment,
Global dynamics of a dengue epidemic mathematical model,
Global stability of a stage-structured epidemic model with a nonlinear incidence
一类S_nIR流行病模型的全局稳定性
具有非单调发生率SEIS流行病模型的全局稳定性分析(英文)
具有潜伏年龄和隔离的 SEIQ 流行病模型的稳定性
具有染病年龄结构的 SEIR 流行病模型的稳定性
具有重复感染和染病年龄结构的两菌株 SIJR 流行病模型分析
A two-strain epidemic model with super-infection and vaccination
Competition and coexistence: the impact of vaccination and mutation
Permanence and stability of an age-structured prey-predator system with delays
一类具有非单调发生率SIS流行病模型的分析
具有治疗的急慢性传染病模型的稳定性与分支
一个带有非线性发生率及接种的流行病模型分析
具有非单调发生率SEIS流行病模型的全局稳定性分析
一类带有阶段结构的渔业收获模型
庞加莱指数在一个带有接种疫苗的SIS流行病模型中的应用
可修复系统中具有耗散算子的抽象Cauchy问题解的适定性
一类可修复计算机系统的数学模型
具有接种疫苗年龄结构的SIRS流行病模型分析
基于夹角的二维凸包改进算法
一类可修复计算机系统的稳定性和可靠性
可修复计算机系统算子的半群特征
一类新的曲线搜索下的多步下降算法
一类具有二次感染和接种的两病株流行病模型
基于聚类分析的关联规则挖掘方法
具有感染年龄结构的CD4^＋T-细胞感染HIV病毒模型分析
Backward bifurcation and optimal control of a vector borne disease
A two-strain epidemic model with mutant strain and vaccination
A TB Model with Infectivity in Latent Period and Imperfect Treatment
An HBV model with diffusion ad age-infection
Analysis of a SIS epidemic model with two strains
Analysis of a Simple Vector-Host Epidemic Model with Direct Transmission
Multi-strain persistence induced by host age structure
Global stability of an SEIV epidemic model with slow stage, fast stage and saturating contact rate
Presentation of Malaria Epidemics Using Multiple Optimal Controls
Global dynamics of a mathematical model for HTLV-I infection of CD4+ T-cells
带有变异和类年龄结构的两菌株传染病模型
INTRINSIC TRANSMISSION GLOBAL DYNAMICS OF TUBERCULOSIS WITH AGE STRUCTURE
An HIV model: Theoretical analysis and experimental verification
A tuberculosis(TB) model with undetected compartment: an application to China
Hopf Bifurcation for a Model of HIV Infection of CD4(+) T Cells with Virus Released Delay
一类具有接种疫苗和再次感染的传染病模型分析
一类两菌株传染病模型的稳定性分析
STABILITY OF AN AGE-STRUCTURED SEIS EPIDEMIC MODEL WITH INFECTIVITY IN INCUBATIVE PERIOD
Dynamics of SIS model with saturation incidence, infection age and impulsive birth
Global analysis of a vector-host epidemic model with nonlinear incidences
一类二阶多点边值问题正解的存在性
Global stability of two strain epidemic model with infection age and impulsive immunity
Optimal homotopy asymptotic method solution to convection heat transfer flow
Global stability for a delayed HIV-1 infection model with nonlinear incidence of infection
Coexistence of pathogen induced by mutation
GLOBAL STABILITY OF SIVS MODEL WITH SATURATION INCIDENCE, INFECTION AGE AND IMPULSIVE VACCINATED RATE
一类带有脉冲免疫TB模型的稳定性分析
一类媒介-宿主传染病模型的稳定性分析
一类具有时滞的HIV-1感染模型全局性质
SIVS EPIDEMIC MODELS WITH INFECTION AGE AND NONLINEAR VACCINATION RATE
SATURATION EFFECTS FOR CTL MEDIATED CONTROL OF HIV-1 INFECTION： A MATHEMATICAL STUDY
具有急慢性阶段的MSIS流行病模型
潜伏期具有传染性的年龄结构MSEIS流行病模型的稳定性
潜伏期和染病期均具有康复的年龄结构MSEIS流行病模型的稳定性
Analysis of an age-structured
具有垂直传染的年龄结构SEIR流行
Existence and uniqueness of en
具有急慢性阶段的SIS流行性模型
总人口规模变化的年龄结构SEIR流
Asymptotic property of the sol
两种群相互竞争的具有脉冲出生率
带接种疫苗和二次感染的年龄结构
Strain replacement in an epide
具有染病年龄结构的SEIR流行病模
Competition and coexistence: t
Analysis of the population mod
具有潜伏和隔离的SEIQ流行病模型
医院环境下耐抗生素的细菌流行病
具有重复感染和感染年龄结构的两
一类食饵中存在疾病的捕食系统的
Mathematical analysis of an ag
两种群相互竞争的具有脉冲出生率的SIS传染病模型
静脉注射吸毒人群HIV/AIDS数学模型分析
一类食饵中存在疾病的捕食系统的SIS传染病模型
具有接种疫苗年龄结构的SIRS流行病模型分析
Analysis of an Epidemic Model with Age of Vaccination
一类高维向量值双正交小波包
医院环境下的耐抗生素细菌流行病模型分析
一类多重向量值双正交小波包的刻划
具有急慢性阶段的SIS流行病模型的稳定性
Global Attractiveness in a Predator-Prey System with Stage Structure
矩阵伸缩的高维向量值小波包
多重向量值正交小波包
具有感染年龄结构的CD4^＋T-细胞感染HIV病毒模型分析
EXISTENCE AND UNIQUENESS OF ENDEMIC STATES FOR THE AGE-STRUCTURED SEIR EPIDEMIC MODEL
紧支撑三元多重正交小波包的研究