Pablo Aguirre Olea

Director del Programa Magíster en Ciencias Mención Matemática

Línea de Investigación:

Sistemas Dinámicos

Información:

  • Grado Académico: Ph.D University of Bristol (Reino Unido)
  • Título Profesional: Ingeniero Civil Matemático, Universidad Técnica Federico Santa María
  • Campus: Casa Central
  • Oficina: F-328
  • Email: pablo.aguirre@usm.cl
  • Teléfono: (56) (32) 265 4481
  • Sitio Web

Publicaciones Recientes

Núm. Autores Artículo Revista Año
14

N. Martínez-Jeraldo, P. Aguirre

Allee effect acting on the prey species in a Leslie-Gower predation model

Nonlinear Analysis: Real World Applications; Vol 45, pp. 895-917; Feb. 2019.

2019
13

D. Contreras, P. Aguirre

Allee thresholds and basins of attraction in a predation model with double Allee effect

Mathematical Methods in the Applied Sciences; Vol. 41(7), pp. 2699-2714; May 2018.

2018
12

P. Orio, K. Xu, J.P. Maidana, M. Caviedes, D. Quero, P. Aguirre

Hyperpolarization-Activated Current Induces Period-Doubling Cascades and Chaos in a Cold Thermoreceptor Model

Frontiers in Computational Neuroscience; Vol. 11, art. 12; Mar. 10, 2017

2017
11

M. Stehlík, P. Aguirre, S. Girard, P. Jordanova, J. Kisel’ák, S. Torres, Z. Sadovsky, A. Rivera

On ecosystems dynamics

Ecological Complexity; Vol. 29, pp. 10-29; Mar. 2017

2017
10

P. Aguirre

Bifurcations of Two-Dimensional Global Invariant Manifolds near a Noncentral Saddle-Node Homoclinic Orbit

SIAM Journal on Applied Dynamical Systems; Vol. 14(3), pp. 1600-1643; 2015

2015
9

P. Aguirre, J. Flores, E. González

Bifurcations and global dynamics in a predator-prey model with a strong Allee effect on the prey, and a ratio-dependent functional response

Nonlinear Analysis – Real World Applications; Vol. 16, pp. 235-249; Apr. 2014

2014
8

P. Aguirre

A general class of predation models with multiplicative Allee effect

Nonlinear Dynamics, 78 (2014), 629-648.

2014
7

P. Aguirre

On two families of stochastic predation models with Allee effect

Scientia Series A: Mathematical Sciences, 25 (2014), pp. 95-107.

2014
6

P. Aguirre, B. Krauskopf & H. M. Osinga

Global invariant manifolds near a Shilnikov homoclinic bifurcation

Journal of Computational Dynamics, 1 (2014), pp. 1-38.

2014
5

P. Aguirre, B. Krauskopf & H. M. Osinga

Global Invariant Manifolds Near Homoclinic Orbits to a Real Saddle: (Non)Orientability and Flip Bifurcation

SIAM Journal on Applied Dynamical Systems, 12 (2013), pp. 1803-1846. Highlighted by SIADS editors in DSWeb.

2013
4

P. Aguirre, E. Gonzalez-Olivares & S. Torres

Stochastic predator-prey model with Allee effect on prey

Nonlinear Analysis: Real World Applications, 14 (2013), pp. 768-779.

2013
3

P. Aguirre, E. J. Doedel, B. Krauskopf & H. M. Osinga

Investigating the consequences of global bifurcations for two-dimensional invariant manifolds of vector fields

Discrete and Continuous Dynamical Systems – Series A, 29 (2011), pp. 1309-1344.

2011
2

P. Aguirre, E. Gonzalez-Olivares & E. Saez

Three limit cycles in a Leslie-Gower predator-prey model with additive Allee effect

SIAM Journal on Applied Mathematics, Volume 69 (2009), pp. 1244-1262.

2009
1

P. Aguirre, E. Gonzalez-Olivares & E. Saez

Two limit cycles in a Leslie-Gower predator-prey model with additive Allee effect

Nonlinear Analysis: Real World Applications, 10 (2009), pp. 1401-1416.

2009

Proyectos Vigentes

Programa Nombre Proyecto Periodo
PCI Math-Amsud 18-MATH-05 MOVECO: Modeling, Optimization and Viability for Epidemics Control 2018 - 2019
PCI - REDES 170059 AM2V-MobiMat network on modeling and control of communicable and infectious diseases 2018 - 2019