The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 88-201
Full Name: Olivia Bundau
Position: Assistant
Age: ON
Sex: Female
Address: Piata. Victoriei, nr 2, 300004, Timi\c{s}oara
Country: ROMANIA
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E-mail address: sbundau@yahoo.com
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Title of the Paper: The analysis of mathematical models associated to some economic growth processes with endogenous population
Authors as they appear in the Paper: Olivia Bundau, Mihaela Neamtu
Email addresses of all the authors: sbundau@yahoo.com, mihaela.neamtu@feaa.uvt.ro
Number of paper pages: 10
Abstract: The aim of this paper is to extend the study done by \cite{Bo4}. Here, we will analyze two mathematical models associated to some economic growth processes with endogenous population depending on the current fertility. The first model is a version of the Ramsey model in continuous and infinite time with the Cobb-Douglas production function. In the second model we consider the $AK$ production function. The mathematical models of these economical growth processes lead to two optimal control problems with an infinite horizon. The necessary conditions for optimality are given for both economic problems. Using the optimality conditions we prove the existence, the uniqueness and the stability of the steady states.
Keywords: Mathematical models applied in economies, Endogenous growth, Endogenous population, Optimization problems
EXTENSION of the file: .pdf
Special (Invited) Session: Optimal conditions for the control problem associated to a Ramsey model with endogenous population
Organizer of the Session: 632-230
How Did you learn about congress: Gabriela Mircea, gabriela.mircea@feaa.uvt.ro, Dumitru Opris, opris@math.uvt.ro, Mihail Megan, megan@math.uvt.ro
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