A dynamic model of investment, total employment and producer price index for regional economies
Date of Publication
Master of Science in Mathematics
College of Science
Mathematics and Statistics Department
Jose Tristan F. Reyes
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 .
Archives, The Learning Commons, 12F Henry Sy Sr. Hall
1 computer optical disc ; 4 3/4 in.
Investments; Wholesale price indexes
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