媒体诱导迁移率变化的双斑块SIRS传染病模型研究

桑瑞; 张龙; 吴浩

doi:10.13568/j.cnki.651094.651316.2022.03.02.0001

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媒体诱导迁移率变化的双斑块SIRS传染病模型研究

更新时间：2026-01-21

- 媒体诱导迁移率变化的双斑块SIRS传染病模型研究
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 40, Issue 1, Pages: 49-56(2023)
- 作者机构：
  
  新疆大学数学与系统科学学院新疆应用数学重点实验室
- 作者简介：
- 基金信息：
- DOI：10.13568/j.cnki.651094.651316.2022.03.02.0001
  CLC： R51;O175
- Published：2023
- 稿件说明：
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[1]桑瑞,张龙,吴浩.媒体诱导迁移率变化的双斑块SIRS传染病模型研究[J].新疆大学学报(自然科学版)(中英文),2023,40(01):49-56+60.
[1]桑瑞,张龙,吴浩.媒体诱导迁移率变化的双斑块SIRS传染病模型研究[J].新疆大学学报(自然科学版)(中英文),2023,40(01):49-56+60. DOI： 10.13568/j.cnki.651094.651316.2022.03.02.0001.

DOI：10.13568/j.cnki.651094.651316.2022.03.02.0001.

摘要

建立了一类具有媒体报道的双斑块迁移SIRS传染病模型

研究媒体报道作用下易感者与感染者迁移速率的改变对斑块内疾病状态的影响.首先

定义无迁移下的斑块基本再生数R1

并推导系统的基本再生数R0

得到当R1<1且R2<1时

系统的无病平衡点是全局渐近稳定的

当R0> 1时

疾病是一致持续的.最后

通过数值模拟验证结果的有效性.

Abstract

A type of two-patch dispersing SIRS epidemic model with media coverage is proposed to study the impact of induced migration rate of susceptible and infected persons by media coverage on the disease. Firstly

the number of non-migratory patch basic reproduction number R1

R2 is defined and the basic reproduction number R0of the disease is derived

by which we find that the disease-free equilibrium is globally asymptotically stable if R1< 1 and R2 < 1. However

the disease is uniform persistence if R0 > 1. Finally

some numerical examples are given to verify the validity of the results.

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references

ALLEN L J S, BRAUER F, VAN DEN DRIESSCHE P, et al. Mathematical epidemiology[M]. Berlin:Springer, 2008.

BAUMAN A, SMITH B J, MAIBACH E W, et al. Evaluation of mass media campaigns for physical activity[J]. Evaluation and Program Planning, 2006, 29(3):312-322.

RAHMAN M S, RAHMAN M L. Media and education play a tremendous role in mounting AIDS awareness among married couples in Bangladesh[J]. AIDS Research and Therapy, 2007, 4(1):1-7.

SCHWITZER G, MUDUR G, HENRY D, et al. What are the roles and responsibilities of the media in disseminating health information?[J]. PLoS Medicine, 2005, 2(7):576-582.

SPRINGBORN M, CHOWELL G, MACLACHLAN M, et al. Accounting for behavioral responses during a flu epidemic using home television viewing[J]. BMC Infectious Diseases, 2015, 15(1):1-14.

郭文丹,聂麟飞.基于人口流动的COVID-19传播动力学模型研究[J].新疆大学学报(自然科学版)(中英文), 2022, 39(2):161-168.

FERGUSON N. Capturing human behaviour[J]. Nature, 2007, 446(7137):733.

FUNK S, KNIGHT G M, JANSEN V A. Ebola:the power of behaviour change[J]. Nature, 2014, 515(7528):492.

WAKEFIELD M A, LOKEN B, HORNIK R C. Use of mass media campaigns to change health behaviour[J]. The Lancet, 2010,376(9748):1261-1271.

YANG W, SUN C J, ARINO J. Effect of media-induced modification of travel rates on disease transmission in a multiple patch setting[J]. Journal of Applied Analysis and Computation, 2020, 10(6):2682-2703.

VAN DEN DRIESSCHE P, WATMOUGH J. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission[J]. Mathematical Biosciences, 2002, 180(1/2):29-48.

ZHAO X Q. Uniform persistence and periodic coexistence states in infinite-dimensional periodic semiflows with applications[J].Canadian Applied Mathematics Quarterly, 1995, 3(4):473-495.

罗名海,秦思娴,谭波,等.基于大数据的武汉封城效果与疫后恢复分析[J].地理空间信息, 2020, 18(9):5-14.

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