Man

Eduardo Jaime González Olivares

Professor

PONTIFICIA UNIVERSIDAD CATÓLICA DE VALPARAÍSO

Valparaiso, Chile

Líneas de Investigación


Dinámica Poblacional; Bioeconomía Matemática; Impulsive Differenial Equaions; Mathematical Epidemiology; Mathematical Bioeconomics

Educación

  •  Matemática, PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISO. Chile, 1991

Experiencia Académica

  •   Professor Full Time

    PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISO

    Ciencias

    Valparaiso, Chile

    1969 - 2014

Experiencia Profesional

  •   Professor Full Time

    Pontificia Universidad Catolica de Valparaiso

    Valparaíso, Chile

    1969 - 2014

Formación de Capital Humano


DIRECCIÓN DE TESIS DE POSGRADO
1. Maestría en Biomatemática, Facultad de Ciencias Básicas y Tecnologías, Universidad del Quindío, Armenia, Colombia.
2012 1. Paulo César Tintinago Ruiz, Dinámica de un modelo de depredación del tipo Leslie con respuesta funcional sigmoidea.

2. Magíster en Matemáticas, Instituto de Matemáticas PUCV.
2010 Jaime Huincahue Arcos, Dinámica de Modelos de Depredación Continuos e Impulsivos y Estudio Fenológico del Brevipalpus Chilensis.
2011 Claudio Arancibia Ibarra, Análisis de modelos depredador-presa del tipo Leslie-Gower considerando efecto Allee en las presas.
2012 Ruth Becerra Klix, Modelos de depredación del tipo Leslie-Gower con respuesta funcional sigmoidea y efecto Allee múltiple en las presas.
2013 Sebastián Valenzuela Figueroa, Modelos de depredación del tipo Leslie-Gower con respuesta funcional sigmoidea y efecto Allee en las presas.

3 Magister en Matemáticas Universidad del Bío Bío.
2014 José Godoy Soto, Bifurcaciones de Poincaré-Andronov-Hopf y Bogdanov-Takens aplicados a modelos depredador-presa (co-guía).

DIRECCIÓN DE MEMORIAS DE TITULACIÓN DE PREGRADO
Licenciatura en Matemáticas, Pontificia Universidad Católica de Valparaíso (PUCV)
2013 1. Nicole Martínez Jiraldo y Elizabeth Rozas Torres, Dinámica de un modelo de depredación del tipo
Leslie-Gower modificado con efecto Allee en las presas.
2. Viviana Rivera Estay, Un modelo de Leslie-Gower con respuesta funcional no diferenciable.
2014 Javiera Gallegos Zuñiga, Dinámicas del modelo de Holling-Tanner con ingterferencia entre los depredadores.



 

Article (28)

A Leslie-Gower type predator-prey model with sigmoid funcional response
Bifurcations and global dynamics in a predator-prey model with a strong Allee effect on the prey, and a ratio-dependent functional response
Dynamics of a predator-prey model with Allee effect on prey and ratio-dependent functional response
Allee Effect in Gause Type Predator-Prey Models: Existence of Multiple Attractors, Limit cycles and Separatrix Curves. A Brief Review
Erratum: Multiple stability and uniqueness of the limit cycle in a Gause-type predator-prey model considering the Allee effect on prey (Nonlinear Analysis: Real World Applications (2011) 12 (2931-2942))
Stochastic predator-prey model with Allee effect on prey
UNIQUENESS OF LIMIT CYCLES AND MULTIPLE ATTRACTORS IN A GAUSE-TYPE PREDATOR-PREY MODEL WITH NONMONOTONIC FUNCTIONAL RESPONSE AND ALLEE EFFECT ON PREY
A new class of differential equations with impulses at instants dependent on preceding pulses. Applications to management of renewable resources
Limit cycles in a Gause-type predator-prey model with sigmoid functional response and weak Allee effect on prey
Modeling pulse infectious events irrupting into a controlled context: A SIS disease with almost periodic parameters
A two-patch model for the optimal management of a fishing resource considering a marine protected area
Consequences of double Allee effect on the number of limit cycles in a predator-prey model
Dynamical complexities in the Leslie-Gower predator-prey model as consequences of the Allee effect on prey
Multiple Limit Cycles in a Gause Type Predator-Prey Model with Holling Type III Functional Response and Allee Effect on Prey
Multiple stability and uniqueness of the limit cycle in a Gause-type predator-prey model considering the Allee effect on prey
Source-sink impulsive bioeconomic models: Seasonal closures with fixed length
Demographical analysis of the pink ling Genypterus blacodes (Schneider 1801) in the austral demersal fishery: A matrix approach evaluating harvest and non-harvest states
THREE LIMIT CYCLES IN A LESLIE-GOWER PREDATOR-PREY MODEL WITH ADDITIVE ALLEE EFFECT
Two limit cycles in a Leslie-Gower predator-prey model with additive Allee effect
On the number of limit cycles in a predator prey model with non-monotonic functional response
Topological description of a non-differentiable bioeconomics model
Dynamic consequences of prey refuges in a simple model system: more prey, fewer predators and enhanced stability
Population-level consequences of antipredator behavior. A metaphysiological model based on the functional ecology of the leaf-eared mouse
Cubic Kolmogorov system with invariant straight lines
Relating behavior to population dynamics: a predator-prey metaphysiological model emphasizing zooplankton diel vertical migration as an inducible response
Dynamics of a predator-prey model
A class of continuos bioeconomic models Una clase de modelos bioeconómicos continuos
Dynamic of a predator-prey model

ConferencePaper (4)

REGULATION BY OPTIMAL TAXATION OF AN OPEN ACCESS SINGLE-SPECIES FISHERY CONSIDERING ALLEE EFFECT ON RENEWABLE RESOURCE
PULSE INFECTION. CONTROL FIXING TIME BETWEEN INFECTION EVENTS
ALLEE EFFECT, EMIGRATION AND IMMIGRATION IN A CLASS OF PREDATOR-PREY MODELS
MULTISTABILITY ON A LESLIE-GOWER TYPE PREDATOR-PREY MODEL WITH NONMONOTONIC FUNCTIONAL RESPONSE

Errata (2)

Multiple stability and uniqueness of the limit cycle in a Gause-type predator-prey model considering the Allee effect on prey (vol 12, pg 2931, 2011)
Dynamical complexities in the Leslie-Gower predator-prey model as consequences of the Allee effect on prey (vol 35, pg 366, 2011)

Letter (1)

Comments to "The effect of prey refuge in a simple predator-prey model" [Ecol. Model. 222 (September(18)) (2011) 3453-3454]
37
Eduardo González

Professor

Matematica

PONTIFICIA UNIVERSIDAD CATÓLICA DE VALPARAÍSO

Valparaiso, Chile

8
Betsabe González

PROFESOR

MATEMATICAS

PONTIFICIA UNIVERSIDAD CATÓLICA DE VALPARAISO

VALPARAISO, Chile

8
Rodrigo Ramos

Full Professor

Universidad Mayor de Chile

Santiago, Chile

5
Fernando Córdova

Associate Professor

MATEMATICA, FISICA Y ESTADISTICA

UNIVERSIDAD CATOLICA DEL MAULE

Talca, Chile

4
Alejandro Rojas

Associate professor

Matemáticas, Física y Estadística

Universidad Católica del Maule

Talca, Chile

4
Pablo Aguirre

Profesor

Matemática

Universidad Técnica Federico Santa María

Valparaíso, Chile

2
Gonzalo Robledo

Associate Professor

Mathematics

UNIVERSIDAD DE CHILE, FACULTAD DE CIENCIAS

Santiago, Chile

1
Jaime Huincahue

Investigador

Dirección de Investigación

Universidad Católica del Maule

Talca, Chile

1
Adriana Aránguiz

Académico

Química

Universidad Católica del Norte

Antofagasta, Chile

1
Francisco Bozinovic

Full professor

Ecology

Pontifical Catholic University of Chile

Santiago, Chile