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.
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.
作者
张子振
张怡雪
张伟诗
宋志强
ZHANG Zizhen;ZHANG Yixue;ZHANG Weishi;SONG Zhiqiang(School of Management Science and Engineering,Anhui University of Finance and Economics,Bengbu 233030,China;College of Engineering,Hulunbuir University,Hulunbuir 021008,China)
出处
《延边大学学报（自然科学版）》
CAS
2023年第4期333-340,共8页
Journal of Yanbian University（Natural Science Edition）
基金
国家自然科学基金(12061033)。
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
media influence
delay
epidemic model
local asymptotic stability
Hopf bifurcation
periodic solution
