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Titlebook: Analysis and Control of Age-Dependent Population Dynamics; Sebastian Ani?a Book 2000 Springer Science+Business Media B.V. 2000 Optimal con

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發(fā)表于 2025-3-21 20:02:51 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Analysis and Control of Age-Dependent Population Dynamics
影響因子2023Sebastian Ani?a
視頻videohttp://file.papertrans.cn/157/156159/156159.mp4
學(xué)科分類Mathematical Modelling: Theory and Applications
圖書封面Titlebook: Analysis and Control of Age-Dependent Population Dynamics;  Sebastian Ani?a Book 2000 Springer Science+Business Media B.V. 2000 Optimal con
影響因子The material of the present book is an extension of a graduate course given by the author at the University "Al.I. Cuza" Iasi and is intended for stu- dents and researchers interested in the applications of optimal control and in mathematical biology. Age is one of the most important parameters in the evolution of a bi- ological population. Even if for a very long period age structure has been considered only in demography, nowadays it is fundamental in epidemiology and ecology too. This is the first book devoted to the control of continuous age structured populationdynamics.It focuses on the basic properties ofthe solutions and on the control of age structured population dynamics with or without diffusion. The main goal of this work is to familiarize the reader with the most important problems, approaches and results in the mathematical theory of age-dependent models. Special attention is given to optimal harvesting and to exact controllability problems, which are very important from the econom- ical or ecological points of view. We use some new concepts and techniques in modern control theory such as Clarke‘s generalized gradient, Ekeland‘s variational principle, and Carleman est
Pindex Book 2000
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Mathematical Modelling: Theory and Applicationshttp://image.papertrans.cn/a/image/156159.jpg
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978-90-481-5590-3Springer Science+Business Media B.V. 2000
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Standardverfahren der schlie?enden Statistikce, uniqueness and positivity of solutions of the linear model and of the nonlinear model. Some comparison results, which will be used later in the study of the optimal control of population dynamics, are stated. The asymptotic behaviour of the solutions is also investigated. Finally we establish so
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Walter Kr?mer,Olaf Schoffer,Lars Tschierschbility problems with distributed parameter. The main goal of the first section is to establish the existence of an optimal control and to obtain first order necessary conditions of optimality for the optimal harvesting problem. These conditions allow calculation or approximation of the optimal contr
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