Degree Name
MS (Master of Science)
Program
Mathematical Sciences
Date of Award
12-2025
Committee Chair or Co-Chairs
Jeff Knisley
Committee Members
Rodney Keaton, Robert Price
Abstract
This thesis formulates the household-income engine of an integrated population sim- ulator as a Discrete Stochastic Leslie System (DSLS). The nonnegative state vector nt ∈ Rk + aggregates income, savings, debt, employment, and transfers. (Here, the subscript + denotes the positive cone, i.e., vectors with nonnegative components). Annual evolution is linear in state, stochastic in coefficients: nt+1 = Ttnt + εt, with Tt : Rk + → Rk + cone-preserving. Exogenous macro drivers (inflation, employment, tax, salary inflation, mortgage) are forecast via ARIMA; forecasts multiply entries of Tt, preserving linearity in expectation while introducing realistic temporal correlation. The discrete-event implemented in the Python library Salabim aligns events (births, deaths, employment, taxes) with DSLS updates. A mathematically explicit coupling maps income to fertility, mortality, education, and migration operators, yielding a closed, tractable economy–demography feedback. The system reproduces lifelike inequality gradients and business cycles using strictly linear, cone-preserving trans- formations.
Document Type
Thesis - unrestricted
Recommended Citation
Cobblah, Fahd Nii Okantah, "An Income Subsystem as a Discrete Stochastic Leslie System: A Simulation-Based Approach" (2025). Electronic Theses and Dissertations. Paper 4621. https://dc.etsu.edu/etd/4621
Copyright
Copyright by FAHD NII OKANTAH COBBLAH
Included in
Applied Mathematics Commons, Data Science Commons, Discrete Mathematics and Combinatorics Commons
