检索结果-南通市图书馆

Stability and Optimal Control of Tuberculosis Spread with an Imperfect Vaccine in the Case of Co-Infection with HIV

Open Journal of Modelling and Simulation 2019年第2期7卷 97-114页

作者： Leontine Nkague Nkamba Thomas Timothee Manga noboru sakamoto Department of Mathematics Higher Teacher Training College University of Yaoundé I Yaoundé Cameroon Deustotech Laboratory Chair of Computational Mathematics University of Deusto Bilbao Spain AIDEPY Association des Ingénieurs Diplomés de l’Ecole Polytechnique de Yaoundé Yaoundé Cameroon Faculty of Science and Engineering Department of Mechatronics Nanzan University Nagoya Japan

This paper focuses on the study and control of a non-linear mathematical epidemic model ( SSvihVELI ) based on a system of ordinary differential equation modeling the spread of tuberculosis infectious with HIV/AIDS coinfection. Existence of both disease free equilibrium and endemic equilibrium is discussed. Reproduction number R0 is determined. Using Lyapunov-Lasalle methods, we analyze the stability of epidemic system around the equilibriums (disease free and endemic equilibrium). The global asymptotic stability of the disease free equilibrium whenever Rvac is proved, where R0 is the reproduction number. We prove also that when R0 is less than one, tuberculosis can be eradicated. Numerical simulations are conducted to approve analytic results. To achieve control of the disease, seeking to reduce the infectious group by the minimum vaccine coverage, a control problem is formulated. The Pontryagin’s maximum principle is used to characterize the optimal control. The optimality system is derived and solved numerically using the Runge Kutta fourth procedure.

关键词： Tuberculosis Basic Reproduction Number Global Stability Prevalence CD4 Cells Immune Deficiency Optimal Control Optimality HIV

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Symplectic Numerical Approach for Nonlinear Optimal Control of Systems with Inequality Constraints

引用

International Journal of Modern Nonlinear Theory and Application 2015年第4期4卷 234-248页

作者： Yoshiki Abe Gou Nishida noboru sakamoto Yutaka Yamamoto Department of Applied Analysis and Complex Dynamical Systems Graduate School of Informatics Kyoto University Kyoto Japan Department of Mechanical and Environmental informatics Graduate School of Information Science and Engineering Tokyo Institute of Technology Tokyo Japan Department of Mechatronics Faculty of Science and Engineering Nanzan University Nagoya Japan

This paper proposes a system representation for unifying control design and numerical calculation in nonlinear optimal control problems with inequality constraints in terms of the symplectic structure. The symplectic structure is derived from Hamiltonian systems that are equivalent to Hamilton-Jacobi equations. In the representation, the constraints can be described as an input-state transformation of the system. Therefore, it can be seamlessly applied to the stable manifold method that is a precise numerical solver of the Hamilton-Jacobi equations. In conventional methods, e.g., the penalty method or the barrier method, it is difficult to systematically assign the weights of penalty functions that are used for realizing the constraints. In the proposed method, we can separate the adjustment of weights with respect to objective functions from that of penalty functions. Furthermore, the proposed method can extend the region of computable solutions in a state space. The validity of the method is shown by a numerical example of the optimal control of a vehicle model with steering limitations.

关键词： Optimal Controls Nonlinear Systems Constrained Systems Symplectic Numerical Methods Stable Manifold Method

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

欢迎您,

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

请选择保存的检索档案：

请选择收藏分类：

通借通还

欢迎您,

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：