Approximation of a Continuous Core-periphery Model by Core-periphery Models with a Large Number of Small Regions

Existence of a Short-Run Equilibrium of the Dixit-Stiglitz-Krugman Model

(2018) Minoru Tabata et al.   DISCRETE DYNAMICS IN NATURE AND SOCIETY

Trade Openness, Transport Networks and the Spatial Location of Economic Activity

(2018) Nuria Gallego et al.   NETWORKS & SPATIAL ECONOMICS

Bifurcation Theory of a Racetrack Economy in a Spatial Economy Model

(2018) Kiyohiro Ikeda et al.   NETWORKS & SPATIAL ECONOMICS

Application of the Brouwer and the Kakutani fixed-point theorems to a discrete equation with a double singular structure

(2018) Minoru Tabata et al.   Fixed Point Theory and Applications

Convergence of Global Solutions to the Cauchy Problem for the Replicator Equation in Spatial Economics

(2016) Minoru Tabata et al.   DISCRETE DYNAMICS IN NATURE AND SOCIETY

The Existence and Uniqueness of Global Solutions to the Initial Value Problem for the System of Nonlinear Integropartial Differential Equations in Spatial Economics: The Dynamic Continuous Dixit-Stiglitz-Krugman Model in an Urban-Rural Setting

(2015) Minoru Tabata et al.   Abstract and Applied Analysis

Existence and computation of solutions to the initial value problem for the replicator equation of evolutionary game defined by the Dixit–Stiglitz–Krugman model in an urban setting: Concentration of workers motivated by disparity in real wages

(2015) Minoru Tabata et al.   APPLIED MATHEMATICS AND COMPUTATION

The Multiregional Core-periphery Model: The Role of the Spatial Topology

(2015) Javier Barbero et al.   NETWORKS & SPATIAL ECONOMICS

A population explosion in an evolutionary game in spatial economics: Blow up radial solutions to the initial value problem for the replicator equation whose growth rate is determined by the continuous Dixit–Stiglitz–Krugman model in an urban setting

(2015) Minoru Tabata et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Existence, uniqueness, and computation of short-run and long-run equilibria of the Dixit–Stiglitz–Krugman model in an urban setting

(2014) Minoru Tabata et al.   APPLIED MATHEMATICS AND COMPUTATION

The existence and uniqueness of short-run equilibrium of the Dixit-Stiglitz-Krugman model in an urban-rural setting

(2014) M. Tabata et al.   IMA JOURNAL OF APPLIED MATHEMATICS

An extension of Krugman’s core–periphery model to the case of a continuous domain: Existence and uniqueness of solutions of a system of nonlinear integral equations in spatial economics

(2013) Minoru Tabata et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS