A generalized model for population dynamics where interactions change over time

Luciano Stucchi Portocarrero; Samuel Martín-Gutíerrez; Javier Galeano; Juan Manuel Pastor

A generalized model for population dynamics where interactions change over time

Luciano Stucchi Portocarrero, Samuel Martín-Gutíerrez, Javier Galeano, Juan Manuel Pastor

Producción científica: Documento de trabajo

Resumen

La dinámica demográfica ha sido modelada con ecuaciones diferenciales desde que Malthus comenzó sus estudios hace más de doscientos años atrás. Los modelos convencionales siempre tratan relaciones entre especies como estáticas, denotando sólo su dependencia durante un período fijo del tiempo, aunque sea conocido que las relaciones entre especies pueden cambiar con el tiempo. Aquí proponemos un modelo para la dinámica demográfica que incorpora la evolución con el tiempo de las interacciones entre especies. Este modelo incluye una amplia gama de interacciones, de depredador-presa a las relaciones mutualistas, ya sea obligada o facultativa. El mecanismo que describimos permite la transición de una clase de relación entre especies a algún otro, según algunos parámetros externos fijados por el contexto. Estas transiciones podrían evitar la extinción de una de las especies, si esto termina por depender demasiado del ambiente o su relación con las otras especies.

Idioma original	Inglés
Lugar de publicación	Perú
Estado	Publicada - 2015

Palabras clave

Población--Modelos matemáticos

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http://hdl.handle.net/11354/1105

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title = "A generalized model for population dynamics where interactions change over time",

abstract = "Population dynamics has been modeled with differential equations since Malthus began their studies more than two hundred years ago. Conventional models always treat relations among species as static, denoting only their dependency for a fixed period of time, although it is well known that relations among species can, and in fact change over time. Here we propose a model for population dynamics that incorporates the evolution over time of the interactions among species. This model includes a wide range of interactions, from predator-prey to mutualistic relations, either obligate and facultative. The mechanism we describe allows the transition from one kind of relation among species to any other, according to some external parameters, fixed by the context. These transitions could avoid the extinction of one of the species, if it ends up depending too much of the environment or its relation with the other species.",

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T1 - A generalized model for population dynamics where interactions change over time

AU - Stucchi Portocarrero, Luciano

AU - Martín-Gutíerrez, Samuel

AU - Galeano, Javier

AU - Pastor, Juan Manuel

PY - 2015

Y1 - 2015

N2 - Population dynamics has been modeled with differential equations since Malthus began their studies more than two hundred years ago. Conventional models always treat relations among species as static, denoting only their dependency for a fixed period of time, although it is well known that relations among species can, and in fact change over time. Here we propose a model for population dynamics that incorporates the evolution over time of the interactions among species. This model includes a wide range of interactions, from predator-prey to mutualistic relations, either obligate and facultative. The mechanism we describe allows the transition from one kind of relation among species to any other, according to some external parameters, fixed by the context. These transitions could avoid the extinction of one of the species, if it ends up depending too much of the environment or its relation with the other species.

AB - Population dynamics has been modeled with differential equations since Malthus began their studies more than two hundred years ago. Conventional models always treat relations among species as static, denoting only their dependency for a fixed period of time, although it is well known that relations among species can, and in fact change over time. Here we propose a model for population dynamics that incorporates the evolution over time of the interactions among species. This model includes a wide range of interactions, from predator-prey to mutualistic relations, either obligate and facultative. The mechanism we describe allows the transition from one kind of relation among species to any other, according to some external parameters, fixed by the context. These transitions could avoid the extinction of one of the species, if it ends up depending too much of the environment or its relation with the other species.

KW - Población--Modelos matemáticos

M3 - Working paper

BT - A generalized model for population dynamics where interactions change over time

CY - Perú

ER -

A generalized model for population dynamics where interactions change over time

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