The Contemporary Nature of the Essay or Why One Should Not Forget Malthus

The document presents a model based on Bernoulli’s lag differential equation to formalize the stable dynamics, with oscillations from Malthus’ population principle. The aim is to use new mathematical and conceptual tools that will make the Essay’s arguments useful in the study of present-day demogra...

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Detalles Bibliográficos
Autores: Ramírez, José Carlos, Morelos, José B., Mata Mata, Leovardo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2011
País:México
Institución:EL COLEGIO DE MÉXICO
Repositorio:Estudios Demográficos y Urbanos
Idioma:español
OAI Identifier:oai:oai.estudiosdemograficosyurbanos.colmex.mx:article/1396
Acceso en línea:https://estudiosdemograficosyurbanos.colmex.mx/index.php/edu/article/view/1396
Access Level:acceso abierto
Palabra clave:Malthus’ principle
lag differential equation
stability with oscillations
convergence of logistic trajectories
population projections
principio de Malthus
ecuación diferencial con rezagos
estabilidad con oscilaciones
convergencia de trayectorias logísticas
proyecciones de población
Descripción
Sumario:The document presents a model based on Bernoulli’s lag differential equation to formalize the stable dynamics, with oscillations from Malthus’ population principle. The aim is to use new mathematical and conceptual tools that will make the Essay’s arguments useful in the study of present-day demographic problems. The simulation undertaken here for the case of Mexico exemplifies one of the many ways the principle can be rehabilitated for a better interpretation of the phases of demographic transition or the conditions of stability and convergence of a middle-income population in the long term. The main conclusions of the model question the loss undergone by demography as a result of being assimilated into traditional economic growth models without incorporating the study of oscillations.