Retarded Optimal control problem: Applications in eco-epidemiology - Couverture souple

Tchinda Mouofo, Plaire; Tewa, Jean Jules; Mewoli, Boulchard

 
9783841613462: Retarded Optimal control problem: Applications in eco-epidemiology
Couverture souple
ISBN 10 : 3841613462 ISBN 13 : 9783841613462
Editeur : Éditions universitaires européennes, 2016

Synopsis

Many phenomena occurring in biology, mechanical, chemical, electricity, electronic, medicine, aircraft industry, etc. can be described in terms of mathematical expressions, such as partial differential equations (PDE), or ordinary differential equations (ODE). For many different kinds of problems, the natural question that arises is how to intervene to produce the "best" outcome, as measured by some predetermined goals. One approach to this is via optimal control theory. In many applications, when using ordinary differential equations or partial differential equations, one always assumes that a system is governed by the principle of causality, namely, the future state of the system is determined by the current state only, while the past has no impact on the future with the present of the current state. However, this is not logically reasonable in many processes. When taking into account the impact of the past state, this includes the time delays. Mathematical models with time delays have been used to understand the dynamic of many systems. However, optimal control problem with time delays has not been well studied in the literature. So, it is important to develop some new results for delayed optimal control problems and to apply it.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Many phenomena occurring in biology, mechanical, chemical, electricity, electronic, medicine, aircraft industry, etc. can be described in terms of mathematical expressions, such as partial differential equations (PDE), or ordinary differential equations (ODE). For many different kinds of problems, the natural question that arises is how to intervene to produce the "best" outcome, as measured by some predetermined goals. One approach to this is via optimal control theory. In many applications, when using ordinary differential equations or partial differential equations, one always assumes that a system is governed by the principle of causality, namely, the future state of the system is determined by the current state only, while the past has no impact on the future with the present of the current state. However, this is not logically reasonable in many processes. When taking into account the impact of the past state, this includes the time delays. Mathematical models with time delays have been used to understand the dynamic of many systems. However, optimal control problem with time delays has not been well studied in the literature. So, it is important to develop some new results for delayed optimal control problems and to apply it.

Biographie de l'auteur

Tchinda Mouofo Plaire received M.Sc. from University of Yaounde I (Cameroon) and a Ph.D. degree from University of Yaounde I. He is currently a senior lecturer at the University of Yaounde I, Cameroon. His research interests include Optimal control problem, dynamical systems, mathematical epidemiology and ecology modeling.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Éditions universitaires européennes
Date d'édition
2016
Langue
français
ISBN 10 
3841613462
ISBN 13 
9783841613462
Reliure
Broché
Nombre de pages
272
Coordonnées du fabricant
non disponible
Personne responsable
non disponible