[1]张子振,张怡雪,张伟诗,等.考虑媒体影响的一类时滞传染病模型的分岔周期解[J].延边大学学报(自然科学版),2023,(04):333-340.
　ZHANG Zizhen,ZHANG Yixue,ZHANG Weishi,et al.The bifurcating periodic solutions of a delayed epidemic model considering media influence[J].Journal of Yanbian University,2023,(04):333-340.
点击复制

考虑媒体影响的一类时滞传染病模型的分岔周期解

《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N] 卷: 期数: 2023年04期 页码: 333-340 栏目: 应用科学研究 出版日期: 2023-12-30
Title:
The bifurcating periodic solutions of a delayed epidemic model considering media influence
文章编号:
1004-4353(2023)04-0333-08
作者:
张子振1;  张怡雪1;  张伟诗1;  宋志强2
( 1.安徽财经大学 管理科学与工程学院, 安徽 蚌埠 233030; 2.呼伦贝尔学院 工学院, 内蒙古 呼伦贝尔 021008 )
Author(s):
ZHANG Zizhen1;  ZHANG Yixue1;  ZHANG Weishi1;  SONG Zhiqiang2
( 1.School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, China; 2.College of Engineering, Hulunbuir University, Hulunbuir 021008, China )
关键词:
媒体影响;  时滞;  传染病模型;  局部渐近稳定性;  Hopf分岔;  周期解
Keywords:
media influence;  delay;  epidemic model;  local asymptotic stability;  Hopf bifurcation;  periodic solution
分类号:
O175.12
文献标志码:
A
摘要:
为了研究媒体报道和时滞对传染病的影响,提出了一类考虑媒体影响的时滞传染病模型.首先,以媒体对疾病进行宣传报道的滞后时间为分岔参数,利用特征值法讨论了模型的局部渐近稳定性和Hopf分岔的存在性.其次,利用中心流形法研究了模型分岔周期解的稳定性.最后,通过数值模拟验证了所得结果的正确性.
Abstract:
In order to explore the impact of media coverage and time delay on infectious diseases, a delayed epidemic model considering influence of media was proposed.Firstly, the local asymptotic stability and the exhibition of Hopf bifurcation were discussed by using the eigenvalue method and regarding the time delay of the media coverage of infectious disease as bifurcation parameter.Secondly, the stability of the bifurcating periodic solutions were studied with the aid of the central manifold method.Finally, the correctness of the obtained results were verified by computer numerical simulations.

参考文献/References:

[1] 赖祥鑫,韦煜明,彭华勤.一类具有媒体报道影响和饱和发生率的SIRI传染病模型[J].南宁师范大学学报(自然科学版),2020,37(3):20 - 31.
[2] LI T J, XIAO Y N.Complex dynamics of an epidemic model with saturated media coverage and recovery [J].Nonlinear Dynamics, 2022,107(3):2995 - 3023.
[3] 李录苹,孔丽丽.考虑媒体报道效应的SEIQR传染病模型的研究[J].山西大同大学学报(自然科学版),2021,37(6):54 - 56.
[4] 张雪妮,刘俊利.受媒体报道影响的离散传染病模型的分析[J].哈尔滨商业大学学报(自然科学版),2022,38(3):332 - 338.
[5] 张钰倩,张太雷,侯雯珊,等.一类具有媒体效应和追踪隔离的SIQR时滞传染病模型[J].浙江大学学报(理学版),2022,49(2):159 - 169.
[6] 阳丽君,班相函,王文龙.一类受媒体报道滞后性影响的传染病模型[J].湖北民族大学学报(自然科学版),2022,40(4):420 - 424.
[7] 刘中凯,刘俊利,刘白茹.受媒体报道和疫苗接种影响的传染病模型分析[J].哈尔滨商业大学学报(自然科学版),2022,38(4):442 - 449.
[8] UPADHYAY R K, KUMARI S.Discrete and data packet delays as determinants of switching stability in wireless sensor networks [J].Applied Mathematical Modelling, 2019,72(8):513 - 536.

相似文献/References:

[1]张杰华.具时滞和反馈控制的离散互惠系统的概周期解[J].延边大学学报(自然科学版),2016,42(02):108.
　ZHANG Jiehua.Almost periodic solutions of a delayed discrete mutualism model with feedback controls[J].Journal of Yanbian University,2016,42(04):108.
[2]曾巧云,郑艳红,易丹.一类具有时滞的帕金森病模型异常振荡的分岔分析[J].延边大学学报(自然科学版),2023,(03):230.
　ZENG Qiaoyun,ZHENG Yanhong,YI Dan.Bifurcation analysis of abnormal oscillations in a class of Parkinson’s disease model with time delay[J].Journal of Yanbian University,2023,(04):230.
[3]王檄豪,韦煜明.一类具有恐惧效应的时滞广义Holling Ⅲ型捕食者- 食饵模型的动力学分析[J].延边大学学报(自然科学版),2023,(04):288.
　WANG Xihao,WEI Yuming.Dynamic analysis of a delayed predator - prey model with fear effect and generalized Holling type Ⅲ functional response[J].Journal of Yanbian University,2023,(04):288.

备注/Memo

收稿日期: 2023-03-28
基金项目: 国家自然科学基金(12061033)
第一作者: 张子振(1982—),男,博士,教授,研究方向为动力系统的稳定性.
通信作者: 宋志强(1967—),男,硕士,教授,研究方向为系统动力学.

更新日期/Last Update: 2023-12-30