| 张伟诗,张子振.一类考虑吸烟群体间有效接触的时滞戒烟模型[J].井冈山大学自然版,2023,44(5):15-21 |
| 一类考虑吸烟群体间有效接触的时滞戒烟模型 |
| A DELAYED QUIT SMOKING MODEL CONSIDERING EFFECTIVE CONTACT BETWEEN SMOKING GROUPS |
| 投稿时间：2022-07-17 修订日期：2022-09-02 |
| DOI：10.3969/j.issn.1674-8085.2023.05.004 |
| 中文关键词: 时滞 有效接触率 戒烟模型 Hopf分岔 |
| 英文关键词: delay effective contact rate giving up smoking model Hopf bifurcation |
| 基金项目:国家自然科学基金项目(12001001)；安徽省高校自然科学研究重点项目(KJ2021A0486) |
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| 中文摘要: |
| 研究一类考虑吸烟群体间有效接触的时滞戒烟模型，模型包括六个子群体：不吸烟群体、偶尔吸烟群体、习惯性吸烟群体、吸烟成瘾群体、酗烟群体和戒烟群体。以酗烟者戒烟变为戒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，之后对基本再生数进行定量分析，并提出控烟参考策略。最后给出仿真示例验证了所得结果的正确性。 |
| 英文摘要: |
| A delayed quit smoking model considering effective contact between smoking groups is investigated. The model includes six compartments: non-smokers, occasional smokers, habitual smokers, addicted smokers, chain smokers, and quit smokers. The existence of Hopf bifurcation is discussed by taking the time delay due to the period experienced by chain smokers to quit smokers as the bifurcation parameter, and critical point of the delay for the occurrence of Hopf bifurcation is calculated, followed by a quantitative analysis of the basic reproduction number, and propose a reference strategy for tobacco control. Finally, a simulation example is given to verify the correctness of the results in the paper. |
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