| 一类考虑复吸的时滞戒烟模型 |
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| 引用本文： | 张子振,张伟诗. 一类考虑复吸的时滞戒烟模型[J]. 吉首大学学报(自然科学版), 2022, 43(1): 1-9. DOI: 10.13438/j.cnki.jdzk.2022.01.001 |
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| 作者姓名： | 张子振 张伟诗 |
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| 作者单位： | （安徽财经大学管理科学与工程学院,安徽 蚌埠 233030） |
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| 基金项目： | 国家自然科学基金资助项目（12061033）;安徽省自然科学基金资助项目（2008085QA09）;安徽省高校自然科学研究重点项目（KJ2021A0486） |
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| 摘 要： | 研究了一类考虑复吸的时滞戒烟模型,该模型包括5个子群体（潜在吸烟者、偶尔吸烟者、重度吸烟者、暂时戒烟者和永久戒烟者）.先计算出模型的基本再生数和吸烟平衡点,再以偶尔吸烟者变为重度吸烟者需要经历的时间周期时滞为分岔参数讨论了Hopf分岔的存在性,并计算出模型产生Hopf分岔的时滞临界点.
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| 关 键 词： | 时滞 戒烟模型 Hopf分岔 基本再生数 吸烟平衡点 |
A Time-Delayed Giving up Smoking Model with Relapse |
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| ZHANG Zizhen,ZHANG Weishi. A Time-Delayed Giving up Smoking Model with Relapse[J]. Journal of Jishou University(Natural Science Edition), 2022, 43(1): 1-9. DOI: 10.13438/j.cnki.jdzk.2022.01.001 |
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| Authors: | ZHANG Zizhen ZHANG Weishi |
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| Affiliation: | (School of Management Science and Engineering,Anhui University of Finance and Economics,Bengbu 233030,Anhui China) |
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| Abstract: | A time-delayed giving up smoking model with relapse is studied.The model includes five subgroups:potential smokers,occasional smokers,heavy smokers,temporary quitters and permanent quitters.Firstly,the basic reproduction number and smoking equilibrium of the model are calculated.Then the existence of Hopf bifurcation is discussed by taking the time delay of the period experienced by occasional smokers to heavy smokers as the bifurcation parameter,and the critical point of the delay for the occurrence of Hopf bifurcation is calculated.Finally,a simulation example is given to verify the correctness of the results. |
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| Keywords: | time-delay giving up smoking model Hopf bifurcation basic reproduction number smoking equilibrium |
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