Title

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 Department

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

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