Optimal control of age-structured population dynamics for spread of universally fatal diseases II

Abstract

In our preceding paper [Sun B, Wu MX. Appl. Anal. 2013;92:901–921], we investigated an optimal control problem of age-structured population dynamics for spread of universally fatal diseases and derived the necessary optimality condition for the problem in fixed final horizon case. As a follow-up, in this paper, under weaker additional conditions, we address ourselves to the investigation of the foregoing system in free final horizon case and present further new results of current interests.

Keywords:

• optimal control
• maximum principle
• necessary condition
• age-structured population dynamics

AMS Subject Classifications:

• 49B22
• 49K20
• 93C20

This article is related to:

Optimal control of age-structured population dynamics for spread of universally fatal diseases

Acknowledgements

The author appreciates the suggestions and comments presented by the editor-in-chief and the anonymous reviewers, which have greatly improved this work. This work was supported by the National Natural Science Foundation of China under Grant 11001012, 11171011, the Natural Science Foundation of Beijing under Grant 1132007, the Training Programme Foundation for the Beijing Municipal Excellent Talents under grant 2012D009011000004, the Funding Project for Academic Human Resources Development in Institutions of Higher Learning under the Jurisdiction of Beijing Municipality under Grant PHR20110820, and the Excellent Young Scholars Research Fund of Beijing Institute of Technology under Grant 2011YR1716.