Listar por materia "Stability"
Mostrando publicaciones 1-18 de 18
-
A new class of differential equations with impulses at instants dependent on preceding pulses. Applications to management of renewable resources
(2012)In this paper, a new type of mathematical model to represent certain processes with impulsive dynamic behavior is introduced. The main assumption is that the next impulse time is determined by three fundamental elements: ...
-
A pulse fishery model with closures as function of the catch: Conditions for sustainability
(2012)We present a model of single species fishery which alternates closed seasons with pulse captures. The novelty is that the length of a closed season is determined by the remaining stock size after the last capture. The ...
-
A simple Gause‐type predator–prey model considering social predation
(2019)The consumer–resource relationships are among the most fundamental of all ecological relationships and have been the focus of ecology since its beginnings. Usually are described by nonlinear differential equation systems, ...
-
Bifurcations and multistability on the May-Holling-Tanner predation model considering alternative food for the predators
(2019)In this paper a modified May-Holling-Tanner predator-prey model is analyzed, considering an alternative food for predators, when the quantity of prey i scarce. Our obtained results not only extend but also complement ...
-
Dynamics of a modified Leslie-Gower predation model considering a generalist predator and the hyperbolic functional response
(2019)In the ecological literature, many models for the predator-prey interactions have been well formulated but partially analyzed. Assuming this analysis to be true and complete, some authors use that results to study a more ...
-
Estabilidad en sistemas cuadráticos del tipo Kolmogorov describiendo interacciones entre dos especies. Una breve revisión
(2021)La dinámica de poblaciones es un tema relevante en Biomatemática, siendo el estudio del comportamiento a largo plazo de los modelos de interacción entre especies, uno de sus problemas centrales. Gran parte de estas relaciones ...
-
Global stability in a modified Leslie-Gower type predation model assuming mutual interference among generalist predators
(2020)In the ecological literature, mutual interference (self-interference) or competition among predators (CAP) to effect the harvesting of their prey has been modeled through different mathematical formulations. In this work, ...
-
Influence of the collaboration among predators and the weak allee effect on prey in a modified leslie-gower predation model
(2023)In this work, the behavior of the solutions of a bi-dimensional system of ordinary differential equations that models predator-prey interaction will be analyzed, obtained through a modification of the Leslie-Gower model, ...
-
Influencia del efecto allee débil en las presas en un modelo de depredación del tipo leslie-gower con respuesta funcional sigmoidea
(2022)Utilizando un sistema topológicamente equivalente al original, dependiente sólo de cuatro parámetros, en este trabajo analizamos un modelo de depredación del tipo Leslie-Gower, considerando que el consumo de los depredadores ...
-
Influencia del efecto Allee fuerte en las presas y de la competición entre los depredadores en modelos de depredación del tipo leslie-gower
(2020)Es bien sabido que las interacciones depredador-presa dependen fuertemente tanto de la respuesta funcional, como de las tasas de crecimiento de la población de presas y depredadores. En este trabajo, el estudio se hará ...
-
Modeling pulse infectious events irrupting into a controlled context: A SIS disease with almost periodic parameters
(2012)A new epidemic model of seasonal/cyclical pulse contagions of an infectious disease is introduced: a population with a controlled infectious disease is perturbed by a sequence of pulse infectious events arising from the ...
-
Un modelo de depredación de tipo leslie-gower modificado que considera la colaboración entre depredadores
(2021)Las interacciones entre los depredadores y sus presas son uno de las aspectos más importantes en las dinámicas de las cadenas alimenticias o redes tróficas. Usualmente esta relación en el mundo real es influenciada por ...
-
Multistability in a Leslie-Gower–type predation model with a rational nonmonotonic functional response and generalist predators
(2020)This work deals with a modified Leslie‐Gower–type model, in which two ecological issues are considered. (i) The action of predators over their prey is described by a nonmonotonic functional response, and (ii) the predators ...
-
Periodicidad en modelos de depredación del tipo gause considerando colaboración entre los depredadores
(2021)Los modelos de depredación constituyen una gran fuente de estudio tanto del punto de vista ecológico como matemático, en especial para el análisis de cadenas tróficas. La determinación de las dinámicas de los sistemas que ...
-
Population growth modeling with boom and bust patterns: The impulsive differential equation formalism
(2015)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 ...
-
Prey herd behavior modeled by a generic non-differentiable functional response
(2018)Over the past decade, many works have studied an antipredator behavior (APB) named prey herd behavior. Analyzes have been conducted by modifying the classical predator consumption rate to be dependent only on the prey ...
-
Source–sink impulsive bioeconomic models: Seasonal closures with fixed length
(2011)The dynamics of four source–sink models for an exploited resource under a constant fishing effort are here presented. Two models are described by ordinary differential equations; the other two are expressed by impulsive ...
-
Stability analysis of a self-cycling fermentation model with state-dependent impulse times
(2014)A self-cycling fermenter is a batch fermenter subject to recurrent emptyings of liquid volume followed by the refilling withnew fresh substrate. This article construc ts a modified model of self-cycling fermenter, which ...