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具有饱和治疗率的霍乱模型稳定性分析
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作者 黑媛媛 胡新利 《黑龙江大学自然科学学报》 CAS 2023年第4期383-393,共11页
提出了一个具有饱和治疗率的SIRB霍乱传播模型,考虑人与人之间直接传播和人与环境之间间接传播两种传播方式。详细分析了模型的动力学性态,用中心流行理论证明了后向分支存在的充分条件,并用比较原理证明了当R^(*)<1时,无病平衡点是... 提出了一个具有饱和治疗率的SIRB霍乱传播模型,考虑人与人之间直接传播和人与环境之间间接传播两种传播方式。详细分析了模型的动力学性态,用中心流行理论证明了后向分支存在的充分条件,并用比较原理证明了当R^(*)<1时,无病平衡点是全局渐近稳定的;用几何方法证明了当R_0>1时,地方病平衡点是全局渐近稳定的。数值模拟支持了理论结果。 展开更多
关键词 霍乱模型 后向分支 稳定性 饱和治疗率
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具有Beddington-DeAnglis发生率和饱和治疗率的SEIRS模型的研究
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作者 杨睿文 《应用数学进展》 2023年第12期5010-5017,共8页
本文建立了具有Beddington-DeAnglis发生率和饱和治疗率的SEIRS模型,通过构造Lyapunov函数和Dulac函数,并利用Hurwitz判据来分析无病平衡点和地方性平衡点的稳定性。可以得到,当R0c<1时,无病平衡点是局部渐进稳定和全局渐进稳定的,... 本文建立了具有Beddington-DeAnglis发生率和饱和治疗率的SEIRS模型,通过构造Lyapunov函数和Dulac函数,并利用Hurwitz判据来分析无病平衡点和地方性平衡点的稳定性。可以得到,当R0c<1时,无病平衡点是局部渐进稳定和全局渐进稳定的,根据平面定性理论以及Dulac函数,地方性平衡点是局部渐进稳定和全局渐进稳定的。 展开更多
关键词 饱和治疗率 LYAPUNOV函数 平面定性理论
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Use of bronchofiberscopy in management of severe thoracic trauma 被引量:1
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作者 LIU Chao-pu GAO Jin-mou +5 位作者 HU Ping LI Chang-hua HE Ping WANG Xiao-li XIAO Xia ZHAO Xing-ji 《Chinese Journal of Traumatology》 CAS CSCD 2013年第4期195-198,共4页
Objective: To investigate the diagnos- tic and therapeutic effect ofbronchofiberscopy in the manage- ment of severe thoracic trauma. Methods: A retrospective study was conducted on 207 consecutive patients with sev... Objective: To investigate the diagnos- tic and therapeutic effect ofbronchofiberscopy in the manage- ment of severe thoracic trauma. Methods: A retrospective study was conducted on 207 consecutive patients with severe thoracic trauma enrolled in our hospital between January 2008 and June 2012. During the period, 488 bronchofiberscopies and lavages were done. The bronchofiberscope was inserted through tracheal inci- sion (282), nasal cavity (149) and oral cavity (57). Intensive SaO2 monitoring as well as blood gas analysis were per- formed pre-, intra- and postoperatively. Simultaneously oxy- gen therapy or ventilatory support was given. Sputum cul- ture was done intraoperatively. Results: Diagnosis in 207 cases was confirmed by bronchofiberscopy. The result of sputum culture was posi- tive in 78 cases. Lavage was performed on 156 cases. SaO2 significantly increased after bronchofiberscopies as well as lavages and PaO2 obviously improved 2 h after surgery (both P〈0.05). Heart rate and respiratory rate decreased. There was no bronchofiberscopy-related death. Conclusion: Bronchofiberscopy plays an important role in the diagnosis and treatment of severe thoracic trauma, which can not only timely diagnose bronchial injury and collect deep tracheal sputum for bacterial culture but also effectively remove foreign body, secretion, blood and spu- tum crust in the airway, manage obstructive atelectasis and pneumonia, and signifcantly improve respiratory fimction and treatment outcome. 展开更多
关键词 Thoracic injuries BRONCHOSCOPY Bronchoalveolar lavage THERAPEUTICS
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