具有双时滞的媒体效应对西藏地区包虫病控制的影响

doi:10.6040/j.issn.1671-9352.0.2022.329

《山东大学学报(理学版)》 ›› 2023, Vol. 58 ›› Issue (5): 53-62.doi: 10.6040/j.issn.1671-9352.0.2022.329

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具有双时滞的媒体效应对西藏地区包虫病控制的影响

许越,韩晓玲^*

西北师范大学数学与统计学院, 甘肃兰州 730070

发布日期:2023-05-15
作者简介:许越(1993— ), 男, 硕士研究生, 研究方向为常微分方程边值问题及其应用. E-mail:1206485579@qq.com*通信作者简介:韩晓玲(1978— ), 女, 博士, 教授, 研究方向为常微分方程边值问题及其应用. E-mail:hanxiaoling9@163.com
基金资助:
国家自然科学基金资助项目(12161079);甘肃省自然科学基金资助项目(20JR10RA086)

Impact of media effects with dual delays on control of echinococcosis in Tibet

XU Yue, HAN Xiaoling^*

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China

Published:2023-05-15

摘要/Abstract

摘要： 通过对包虫病传播机制以及西藏地区包虫病流行状况的研究,建立了一类含有媒体效应的多时滞包虫病传播模型,研究了模型的稳定性、一致持续性以及产生Hopf分岔的条件,并结合西藏地区的数据进行数值模拟,验证了媒体效应在疾病控制中起到的重要作用以及时滞大小对模型稳定性的影响,最后针对防控策略给出了合理的建议。

关键词: 包虫病, 动力学模型, 多时滞, Hopf分岔

Abstract: Based on the study of the transmission mechanism of echinococcosis and the epidemic situation of echinococcosis in Tibet, a multiple time-delays echinococcosis transmission model with media effect is established. The stability of the model, uniform persistence and the conditions of Hopf bifurcation are studied and numerical simulation is performed on the data from Tibet, to verify the significance of the media effect on disease control and the influence of time lag on the stability of the model. Finally, reasonable suggestions are given for the prevention and control.

Key words: echinococcosis, dynamic model, multiple delays, Hopf bifurcation

中图分类号:

O175.13

许越,韩晓玲. 具有双时滞的媒体效应对西藏地区包虫病控制的影响[J]. 《山东大学学报(理学版)》, 2023, 58(5): 53-62.

XU Yue, HAN Xiaoling. Impact of media effects with dual delays on control of echinococcosis in Tibet[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2023, 58(5): 53-62.

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具有双时滞的媒体效应对西藏地区包虫病控制的影响

Impact of media effects with dual delays on control of echinococcosis in Tibet

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