A dynamic model of investment, total employment and producer price index for regional economies
Date of Publication
2015
Document Type
Master's Thesis
Degree Name
Master of Science in Mathematics
Subject Categories
Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Thesis Adviser
Jose Tristan F. Reyes
Abstract/Summary
In this paper, we developed a dynamical model that portrays regional economic system focusing on the amount of Investment (X), number of Total Employment (Y ) and the value of Producer Price Index (Z). The model is built based on existing predator- prey biological models namely Chemostat model, Budworm model and Holling-Tanner predator-prey model. We nondimensionalized the model and linearized the system of equations at a xed point. We performed simulations at the calculated xed point (x y y ) where x > 0 and for cases where y is approximately equal to 1 and 1 2 . We have shown that for a system to be stable at the given xed point, Investment must approach zero. Otherwise, if the Investment grows without bound as time t ! 1, the sytem is unstable. In particular, Investment is bigger and PPI is smaller in the case of y 1 as compared to that of y 1 2 .
Abstract Format
html
Language
English
Format
Electronic
Accession Number
CDTG006599
Shelf Location
Archives, The Learning Commons, 12F Henry Sy Sr. Hall
Physical Description
1 computer optical disc ; 4 3/4 in.
Keywords
Investments; Wholesale price indexes
Recommended Citation
Rodriguez, T. P. (2015). A dynamic model of investment, total employment and producer price index for regional economies. Retrieved from https://animorepository.dlsu.edu.ph/etd_masteral/5081