A Note on the Stability of Equilibrium Solutions of Production-Constrained Spatial-Interaction Models
- 1 May 1981
- journal article
- research article
- Published by SAGE Publications in Environment and Planning A: Economy and Space
- Vol. 13 (5) , 601-604
- https://doi.org/10.1068/a130601
Abstract
In a recent paper an analysis of the stability of equilibrium solutions of production-constrained retailing models was undertaken by Harris and Wilson. It was argued that by examining equilibrium solutions in response to changes in a parameter, κ, jumps in the value of state variables, analogous to the fold catastrophe, could be expected. In this note it is shown that this is not necessarily always the case, and two different conditions are identified, one that gives rise to jump behaviours, and another that does not. The distinction arises from the nature of the κ parameter.Keywords
This publication has 2 references indexed in Scilit:
- Equilibrium Values and Dynamics of Attractiveness Terms in Production-Constrained Spatial-Interaction ModelsEnvironment and Planning A: Economy and Space, 1978
- The optimum location and size of shopping centresRegional Studies, 1976