Basic Reproduction Ratios for Periodic Compartmental Models with Time Delay

被引：165
作者：
Zhao, Xiao-Qiang [1 ]
机构：
[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
来源：
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2017年 / 29卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Compartmental models; Time delay; Periodicity; Reproduction ratio; Threshold dynamics; VECTOR-BORNE DISEASES; THRESHOLD DYNAMICS; EPIDEMIC MODELS; COMPUTATION; STABILITY; OPERATORS; NUMBERS;
D O I：
10.1007/s10884-015-9425-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish the theory of basic reproduction ratio for a large class of time-delayed compartmental population models in a periodic environment. It is proved that serves as a threshold value for the stability of the zero solution of the associated periodic linear systems. As an illustrative example, we also apply the developed theory to a periodic SEIR model with an incubation period and obtain a threshold result on its global dynamics in terms of R-0.
引用
收藏
页码：67 / 82
页数：16
相关论文
共 50 条
  • [41] TIME PERIODIC TRAVELING WAVES FOR A PERIODIC NONLOCAL DISPERSAL MODEL WITH DELAY
    Wu, Shi-Liang
    Huang, Ming-di
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 148 (10) : 4405 - 4421
  • [42] ON THE BASIC REPRODUCTION NUMBER OF REACTION-DIFFUSION EPIDEMIC MODELS
    Magal, Pierre
    Webb, Glenn F.
    Wu, Yixiang
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2019, 79 (01) : 284 - 304
  • [43] A numerical framework for estimating the effective reproduction number of infectious diseases from compartmental epidemic models
    Hasan, Agus
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, 103
  • [44] ASYMPTOTIC BEHAVIOR OF THE BASIC REPRODUCTION RATIO FOR PERIODIC REACTION-DIFFUSION SYSTEMS
    Zhang, Lei
    Zhao, Xiao-Qiang
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 53 (06) : 6873 - 6909
  • [45] A spectrum-based filter design for periodic control of systems with time delay
    Yuksel, Can Kutlu
    Vyhlidal, Tomas
    Busek, Jaroslav
    Hromcik, Martin
    Niculescu, Silviu-Iulian
    JOURNAL OF SOUND AND VIBRATION, 2025, 604
  • [46] THRESHOLD DYNAMICS OF A TIME PERIODIC AND TWO GROUP EPIDEMIC MODEL WITH DISTRIBUTED DELAY
    Zhao, Lin
    Wang, Zhi-Cheng
    Zhang, Liang
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2017, 14 (5-6) : 1535 - 1563
  • [47] SPECTRUM-BASED STABILITY ANALYSIS AND STABILIZATION OF TIME-PERIODIC TIME-DELAY SYSTEMS
    Michiels, Wim
    Fenzi, Luca
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2020, 41 (03) : 1284 - 1311
  • [48] Non-fragile control of periodic piecewise linear time-varying systems with time delay
    Liu, Yun
    Li, Panshuo
    Xie, Xiaochen
    Zhang, Bin
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (14) : 2217 - 2227
  • [49] Dynamics of a stochastic periodic SIRS model with time delay
    Shi, Xiangyun
    Cao, Yimeng
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2020, 13 (08)
  • [50] Bifurcation of periodic Solution for May System with time delay
    Sun, Xiaoying
    Sun, Jifang
    EPLWW3S 2011: 2011 INTERNATIONAL CONFERENCE ON ECOLOGICAL PROTECTION OF LAKES-WETLANDS-WATERSHED AND APPLICATION OF 3S TECHNOLOGY, VOL 2, 2011, : 63 - 67
12345