位置：成果数据库 > 期刊 > 期刊详情页
一类潜伏期和染病期均传染SEIS模型的渐近定性分析
  • ISSN号：1672-4291
  • 期刊名称：《陕西师范大学学报：自然科学版》
  • 时间：0
  • 分类：O175.13[理学—数学;理学—基础数学]
  • 作者机构：[1]西安交通大学理学院,陕西西安710049
  • 相关基金：国家自然科学基金重点资助项目（10531030）
作者： 张辉[1], 徐文雄[1]
关键词： 饱和接触率, 基本再生数, 全局渐近稳定, LIAPUNOV函数, Hurwitz判据, DULAC函数, saturated contact rate, basic reproductive number, globally asymptotically stable, Liapunov function, Hurwitz criterion, Dulac function
中文摘要：

研究了一类潜伏期、染病期均传染且具有不同饱和接触率C1（N）和C2（N）的SEIS传染病模型,得到了疾病流行的基本再生数R0.运用Liapunov函数方法,证明了当R0〈1时,无病平衡点P0全局渐近稳定,疾病最终消失;利用Hurwitz判据定理,证明了当R0〉1时,P0不稳定,地方病平衡点P＊局部渐近稳定;当因病死亡率为零时,极限系统的地方病平衡点P＊全局渐近稳定.

英文摘要：

A SEIS epidemic model with infective force in both latent period and infected period, having different general saturated contact rate C1 （N） and C2 （N）, is studied and the basic reproductive number R0 is obtained. By using Liapunov function method, it is proved that the disease-free equilibrium P0 is globally asymptotically stable and the disease always dies out eventually if R0〈1. It is also proved that in the case where R0〉1, P0 is unstable and the unique endemic equilibrium P＊ is locally asymptotically stable by Hurwitz criterion theory. It is shown that when disease-induced death rate is zero, the unique endemic equilibrium P＊ of the limiting system is globally asymptotically stable.

同期刊论文项目
预防和控制突发恶性传染病的动力学机制和数学方法
期刊论文 79 获奖 1 著作 2
同项目期刊论文
Analysis of a periodic bacteria-immunity system with delayed quorum sensing
A SIRS epidemic model with infection-age dependence
Influence diagnostics in partially varying-coefficient models
离散的SI和SIS传染病模型的研究
非线性Lipschitz 算子的一个特征根不变量及其应用
Cycles and chaotic behavior in an aids-related cancer dynamic model in vivo
Permanence and stability in multi-species non-autonomous Lotka-Volterra competitive systems with del
血吸虫病传播动力学模型及其应用
The Field-Noyes model with periodic orbits
On strong convex compactness property of spaces of nonlinear operators
Modeling cancer in HIV-1 infected individuals: Equilibria, cycles and chaotic behavior
一个新的非典型性肺炎模型及其分析
Competitive systems with migration and the Poincare-Bendixson theorem for a 4-dimensional case
Global resultes for an SIRS model with vaccination and isolation
Stability and bifurcation analysis on a ratio-dependent predator_prey model with time delay
Global stability of a class of discrete age-structured SIS models with immigration
Using boosting to prune double-bagging ensembles
Oscillatory viral dynamics in a delayed HIV pathogenesis model
Estimation of the variance function in heteroscedastic linear regression models
Stability Analysis of Age-structured Disabled Population Dynamics
Melnikov method to a bacteria immunity model with bacterial.
Global stability of a reaction-diffusion predator_prey model with a nonlocal delay
A sex-role-preference model for HIV transmission among men who have sex with men in China
An Impulsive Differential Model on Post Exposure Prophylaxis to HIV-1 Exposed Individual
The global dynamics of a model about HIV-1 infection in vivo
The Dynamics of an Interactional Model of Rabies Transmitted between Human and Dogs
Two differential equation models about AIDS-related cancer
DYNAMICAL BEHAVIOR OF AN EPIDEMIC MODEL WITH COINFECTION OF TWO DISEASES
A new constructing auxiliary function method for global optimization
Analysis of a periodic bacteria-immunity model with delayed quorum sensing
The Classification on the Global Phase Portraits of Two-dimensional Lotka-Volterra System
关于日本血吸虫病动力学模型的周期解
Local linear estimation of spatially varying coefficient models: an improvement on the geographicall
The complete classification for dynamics in a homosexually-transmitted disease model
The complete classification on a model of two species competition with an inhibitor
Harmless feedback control for permanence and global asymptotic stability in nonlinear delay populati
Analysis of a bacteria-immunity model with delay quorum sensing
An efficient modified boosting method for solving classification problems
A local boosting algorithm for solving classification problems
An empirical study of using Rotation Forest to improve regressors
TWO DYNAMIC MODELS ABOUT RABIES BETWEEN DOGS AND HUMAN
Some discrete SI and SIS epidemic models
Testing heteroscedasticity in nonparametric regression models based on residual analysis
RotBoost: A technique for combining Rotation Forest and AdaBoost
GLOBAL DYNAMICS IN A TB MODEL INCORPORATING CASE DETECTION AND TWO TREATMENT STAGES
Projection of tuberculosis incidence with increasing immigration trends
Modeling and prediction of HIV in China: Transmission rates structured by infection ages
Permanence in multi-species competitive systems with delays and feedback controls.
Fuzzy nonparametric regression based on local linear smoothing technique
一类具有年龄结构的传染病模型的持续性质
HIV-1 的表型间变异与免疫因子相互作用的动力学模型
两个艾滋病相关的癌症动力学模型研究
一类具有多时滞捕食-被捕食系统正周期解的存在性
非线性高维自治微分系统SEIQR流行病模型全局稳定性
ASYMPTOTICAL ANALYSIS OF A REACTION- DIFFUSION EQUATIONS D-SIS EPIDEMIC MODEL
邻域保持判别非负矩阵分解
HIV体内感染的动力学分析
HIV-1的表型间变异与免疫因子相互作用的动力学模型
Lie群上的最速下降算法
一类随机时滞神经网络的牵制同步
非线性Lipschitz算子的一个特征不变量及其应用
奇异摄动系统状态反馈H∞控制
潜伏期具传染力SEIS模型正平衡点的全局稳定性
期刊信息
  • 《陕西师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:陕西师范大学
  • 主编：屈世显
  • 地址：陕西省西安市长安区西长安街620号
  • 邮编：710119
  • 邮箱：cqj759@163.com
  • 电话：029-81530879
  • 国际标准刊号：ISSN：1672-4291
  • 国内统一刊号：ISSN：61-1071/N
  • 邮发代号:52-109
  • 获奖情况:
  • 获得奖励20多次，其中部委级3次、厅局级20次、国...,受到教育部（国家教委）、新闻出版总署、教育部科...,多次被评为全国高校和陕西省优秀科技期刊、陕西省...
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,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:8230