Mathematical Model for the Evolutionary Dynamics of Innovation in City Public Transport Systems

• Autorzy: Hernán Darío Toro-Zapata , Gerard Olivar-Tost
• Języki publikacji: EN

Abstrakty

EN

In this study, a mathematical model is formulated and studied from the perspective of adaptive dynamics (evolutionary processes), in order to describe the interaction dynamics between two city public transport systems: one of which is established and one of which is innovative. Each system is to be influenced by a characteristic attribute; in this case, the number of assumed passengers per unit it that can transport. The model considers the proportion of users in each transport system, as well as the proportion of the budget destined for their expansion among new users, to be state variables. Model analysis allows for the determination of the conditions under which an innovative transportation system can expand and establish itself in a market which is initially dominated by an established transport system. Through use of the adaptive dynamics framework, the expected long-term behavior of the characteristic attribute which defines transport systems is examined. This long-term study allows for the establishment of the conditions under which certain values of the characteristic attribute configure coexistence, divergence, or both kinds of scenarios. The latter case is reported as the occurrence of evolutionary ramifications, conditions that guarantee the viability of an innovative transport system. Consequently, this phenomenon is referred to as the origin of diversity. (original abstract)

Słowa kluczowe

EN

Public transport; Investing; Technological change; Simulation modelling

PL

Transport publiczny; Inwestowanie; Zmiany technologiczne; Modelowanie symulacyjne

• Czasopismo: Copernican Journal of Finance & Accounting
• Rocznik: 2018
• Tom: 7
• Numer: nr 2
• Strony: 77--98

Twórcy

autor

Hernán Darío Toro-Zapata

• Universidad del Quindío Universidad Nacional de Colombia - Manizales, Colombia

autor

Gerard Olivar-Tost

• Universidad Nacional de Colombia - Manizales, Colombia

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Identyfikatory

DOI

10.12775/CJFA.2018.010