首页> 外文期刊>Mathematics and computers in simulation >Qualitative analysis and optimal control of an epidemic model with vaccination and treatment
【24h】

Qualitative analysis and optimal control of an epidemic model with vaccination and treatment

机译:带有疫苗接种和治疗的流行病模型的定性分析和最优控制

获取原文
获取原文并翻译 | 示例

摘要

We focus on an epidemic model which incorporates a non-linear force of infection and two controls: an imperfect preventive vaccine given to susceptible individuals and therapeutic treatment given to infectious. We study both the cases of constant and non constant controls. In the case of constant controls we perform a qualitative analysis based on Lyapunov stability which allows to integrate the bifurcation analysis performed in a previous paper. The occurrence of a backward bifurcation is discussed in the perspective of disease control. The case of time-dependent controls is studied by means of the optimal control theory. The strategy is to minimize both the disease burden and the intervention costs. We derive the optimality system and solve it numerically. The characterization of the optimal time profile of the controls, together with the qualitative analysis provides a rather complete picture of the possible outcomes of the model.
机译:我们着眼于一种流行病模型,该模型包含了非线性感染力和两个控制措施:为易感人群提供的不完善的预防性疫苗和对感染性人群进行的治疗。我们研究了恒定和非恒定控制的情况。在恒定控制的情况下,我们基于Lyapunov稳定性进行定性分析,从而可以整合先前论文中进行的分叉分析。从疾病控制的角度讨论了向后分叉的发生。通过最优控制理论研究了与时间有关的控制情况。该策略是使疾病负担和干预成本最小化。我们推导最优系统并用数值方法求解。控件的最佳时间配置文件的定性以及定性分析提供了模型可能结果的相当完整的图片。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号