|Table of Contents|

Dynamical Analysis of SEIRS Epidemic Model with Pulse Vaccination(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2013年02期
Page:
20-26
Research Field:
数学
Publishing date:

Info

Title:
Dynamical Analysis of SEIRS Epidemic Model with Pulse Vaccination
Author(s):
Guo Zhongkai1; Wang Wenting2; Li Zizhen3
1.School of Technology and Engineering,Lanzhou University of Science and Technology,Lanzhou 730050,China
2.School of Mathematics and Computer Science,Northwest University for Nationalities,Lanzhou 730030,China
3.Key Laboratory of Arid and Grassland Agroecology of the Ministry of Education,Lanzhou University,Lanzhou 730000,China
Keywords:
SEIRS model; globally asymptotical stability; numerical simulation; epidemic
PACS:
O175.13; Q141
DOI:
-
Abstract:
The dynamical behavior of SEIRS epidemic model with generalized Logistic death and standard contact rate is investigated in this paper.Based on Floquet theory and comparison theorem of impulsive differential equation,the existence and globally asymptotical stability of infection free periodic solution are examined,then the critical value τ0,θ00 are obtained.Finally,numerical simulation reveals that the disease will become endemic when τ>τ0,θ<θ00.

References:

[1] Venturio E.The influence of disease on Lotka-Volterra system[J].Rlockmount J Math,1994,24(1):389-402.
[2]Chattopadhyay J,Arino O.A predator-prey model with disease in the prey[J].Nonlinear Anal,1999,36(2):749-766.
[3]Xiao Y,Chen L.Analysis of a three species eco-epidemiological model[J].Math Appl,2001,258(2):733-754.
[4]郭中凯,李文龙,程雷虎,等.食者有病的生态流行病模型的定性分析[J].兰州大学学报:自然科学版,2009,45(3):117-121.
[5]赵文才,孟新柱.一类具有Logistic死亡率的脉冲免疫接种SIRS传染病模型[J].吉林大学学报:理学版,2009,47(6):1 165-1 171.
[6]Meng X.Global dynamical behaviors for an SIR epidemic model with time delay and pulse vaccination[J].Taiwanese Journal of Mathematics,2008,12(5):1 107-1 122.
[7]Meng X.The dynamics of a new SIR epidemic model concerning pulse vaccination strategy[J].Applied Mathematics and Computation,2008,197(2):582-597.
[8]庞国萍,陶凤梅,陈兰荪,等.具有饱和传染率的脉冲免疫接种SIRS模型分析[J].大连理工大学学报,2007,47(3):460-464.
[9]高淑京,滕志东.一类具有饱和传染力和常数输入的SRIS脉冲接种模型研究[J].生物数学学报,2008,23(2):209-217.
[10]D’onoi’rio A.Stability propertise of pulse vaccination strategy in SEIR epidemic model[J].Mathematical Biosciences,2002,179(1):57-72.
[11]傅希林.脉冲微分系统引论[M].北京:科学出版社,2005.
[12]石瑞青,原存德.按Logistic增长且具有连续预防接种和潜伏期密度依赖的SEIRS流行病模型[J].山西师范大学学报:自然科学版,2005,19(2):1-5.

Memo

Memo:
-
Last Update: 2013-06-30