This paper argues that trade specialization played an indispensable role in supporting the Industrial Revolution. We calibrate a two-good and two-sector overlapping generations model to Englandís historical development and ...

The present work aims to show some aspects of linear differences equations with constant coefficients, some of their applications and some ways of solving them. The nonlinear differences equations were analyzed in a ...

This work presents an application of differential equations to population dynamics. Presenting a review of some of the major literature models such as the Malthus who was the first to precede mathematical tools to estimate ...

We present a spatial agent-based model of the emergence and proliferation of premodern complex societies in an isolated region initially inhabited by simple societies. At the intrasocietal level, the model integrates scalar ...

This paper presents a critical analysis of a numerical technique that has been used in the resolution of fractional differential equations with Caputo derivative. It is the multi-step method with generalized differential ...

This paper discusses the modeling via mathematical methods based on fractional calculus, using Caputo fractional derivative. From the fractional models associated with harmonic oscillator, logistic equation and Malthusian ...

This note gives an overview on basic mathematical models describing the population dynamics of a single species whose vital dynamics has different time scales. We present five cases combining two time-scales with Malthusian ...