Title
Solution Methods for Age-Structured Optimal Control Models with Feedback
Abstract
Modeling the dynamics of infectious diseases, illicit drug initiation, or other systems, where the age of an individual or the duration of being in a specific state is essential, leads to a generalized form of the McKendrick equations, i.e., a system of first-order partial differential equations in the time-age space. Typically such models include age-specific feedback components which are represented by integral terms in the right hand side of the equation. This paper presents the general framework of such optimal control models, the corresponding necessary optimality conditions and two different approaches for numerical solution methods.
Year
DOI
Venue
2003
10.1007/978-3-540-24588-9_21
LECTURE NOTES IN COMPUTER SCIENCE
Keywords
Field
DocType
infectious disease,age structure,optimal control,first order,partial differential equation
Space time,Applied mathematics,Optimal control,Optimality criterion,Numerical analysis,Partial differential equation,Calculus,Mathematics
Conference
Volume
ISSN
Citations 
2907
0302-9743
0
PageRank 
References 
Authors
0.34
2
1
Name
Order
Citations
PageRank
Christian Almeder1907.09