Pablo Aguirre Olea
Director del Programa Magíster en Ciencias Mención Matemática
Línea de Investigación:
Sistemas DinámicosInformación:
- Grado Académico: Ph.D University of Bristol (Reino Unido)
- Título Profesional: Ingeniero Civil Matemático, Universidad Técnica Federico Santa María
- Campus: Casa Central
- Horario de consulta: Lunes y jueves de 14:30 a 16:00 hrs
- Email: pablo.aguirre@usm.cl
- Sitio Web
Publicaciones Recientes
| Núm. | Autores | Artículo | Revista | Año |
|---|---|---|---|---|
| 17 | P. Aguirre, C. Arancibia-Ibarra, J. Flores, P. Van Heijster. |
Bifurcation analysis of a predator-prey model with predator intraspecific interactions and ratio-dependent functional response | Applied Mathematics and Computation, 402, Paper No. 126152, 20 (2021). |
2021 |
| 16 | V. Rivera, P. Aguirre |
Study of a Tritrophic Food Chain Model with Non-differentiable Functional Response | Acta Applicandae Mathematica; Vol. 165, pp 19-43; Jan. 2020. |
2020 |
| 15 | P. Aguirre, D. Contreras-Julio, J. Mujica, O. Vasilieva. |
Finding Strategies to Regulate Propagation and Containment of Dengue via Invariant Manifold Analysis | SIAM Journal on Applied Dynamical Systems, 19, (2), 1392-1437 (2020). |
2020 |
| 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 | 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 |
A general class of predation models with multiplicative Allee effect | 2014 | |
| 8 | P. Aguirre |
On two families of stochastic predation models with Allee effect | Scientia Series A: Mathematical Sciences, 25 (2014), pp. 95-107. |
2014 |
| 7 | P. Aguirre, B. Krauskopf & H. M. Osinga |
Global invariant manifolds near a Shilnikov homoclinic bifurcation | 2014 | |
| 6 | 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 |
| 5 | P. Aguirre, B. Krauskopf & H. M. Osinga |
Global Invariant Manifolds Near Homoclinic Orbits to a Real Saddle: (Non)Orientability and Flip Bifurcation | 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 |
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 |
| 1 | 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 |