IJPAM: Volume 36, No. 3 (2007)
OPTIMAL BIRTH CONTROL FOR AN AGE-DEPENDENT
-DIMENSIONAL FOOD CHAIN MODEL
II. FREE HORIZON PROBLEMS
-DIMENSIONAL FOOD CHAIN MODEL
II. FREE HORIZON PROBLEMS
Zhixue Luo
Department of Mathematics
Lanzhou Jiaotong University
Lanzhou, Gansu, 730070, P.R. CHINA
e-mail: luozhix@263.net
Department of Mathematics
Lanzhou Jiaotong University
Lanzhou, Gansu, 730070, P.R. CHINA
e-mail: luozhix@263.net
Abstract.We study optimal birth policies for an age-dependent 
-dimensional
food chain model, which is controlled
by fertility. New results on problems with free final time and integral phase constraints are presented,
the approximate controllability of system is discussed.
Received: February 7, 2007
AMS Subject Classification: 35B10, 35D05, 49J20, 65L12, 65M06
Key Words and Phrases: population model, age-dependence, maximum principle, controllability
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 36
Issue: 3
