- D. Contreras-Julio, P. Aguirre, J. Mujica & O. Vasilieva, "Finding strategies to regulate propagation and containment of dengue via invariant manifold analysis," SIAM Journal on Applied Dynamical Systems, 19 (2020), pp. 1392-1437.

Selected for inclusion in SIAM Epidemiology Collection.

- V. Rivera & P. Aguirre, "Study of a tritrophic food chain model with non-differentiable functional response," Acta Applicandae Mathematicae, 165 (2020), pp. 19-43.

- N. Martínez-Jeraldo & P. Aguirre, "Allee effect acting on the prey species in a Leslie-Gower predation model," Nonlinear Analysis: Real World Applications, 45 (2019), pp. 895-917.
- D. Contreras-Julio & P. Aguirre, "Allee thresholds and basins of attraction in a predation model with double Allee effect," Mathematical Methods in the Applied Sciences, 41 (2018), pp. 2699-2714.

- K. Xu, J. P. Maidana, M. Caviedes, D. Quero, P. Aguirre & P. Orio, "Hyperpolarization-activated current induces period-doubling cascades and chaos in a cold thermoreceptor model," Frontiers in Computational Neuroscience, 11:12 (2017).

- M. Stehlík, P. Aguirre, S. Girard, P. Jordanova, J. Kiselák, S. Torres, Z. Sadovsky & A. Rivera, "On ecosystems dynamics," Ecological Complexity, 29 (2017), pp. 10-29.

- P Aguirre, "Bifurcations of two-dimensional global invariant
manifolds near a non-central saddle-node homoclinic orbit," SIAM Journal on Applied Dynamical Systems, 14 (2015), pp. 1600-1644.

- P. Aguirre, "A
general class of predation models with multiplicative Allee effect." Nonlinear Dynamics, 78 (2014), 629-648.

- P. Aguirre, "On two families of
stochastic predation models with Allee effect," Scientia Series A: Mathematical Sciences, 25 (2014), pp. 95-107.

- P Aguirre, B Krauskopf & H
M Osinga, "Global
invariant manifolds near a Shilnikov homoclinic bifurcation," Journal of
Computational Dynamics, 1 (2014), pp. 1-38.

- P.
Aguirre, J D Flores and E Gonzalez-Olivares, "Bifurcations
and global dynamics in a predator-prey model with a strong Allee effect
on prey, and a ratio-dependent functional response," Nonlinear Analysis: Real World
Applications, 16 (2014), pp. 235-249.

- 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.

- 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.

- 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.

- 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.

- 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.

Publications to appear

Submitted work

- A. Omón-Arancibia, P. Aguirre, A. Castañeda & G. Robledo, "On a planar system from chemical reacting modelling: a new geometrically/qualitative description."

- C. Castillo-Laborde, P. Gajardo, M. Nájera-De Ferrari, I. Matute, M. Hirmas-Adauy, P. Aguirre, H. Ramírez, D. Ramírez & X. Aguilera, "Modelling cost-effectiveness of syphilis detection strategies in
prisoners: Exploratory exercise in a Chilean male prison."

- C. Arancibia, P. Aguirre, J. Flores & P. van Heijster, "Bifurcation analysis of a prey-predator model with predator intra-specific interactions and ratio-dependent functional response".

- E. Villar-Sepúlveda, P. Aguirre & V. Breña-Medina, "Multiple
wave solutions in a diffusive predator-prey model with strong Allee
effect on prey and ratio-dependent functional response".

Conference papers

- R. Schurch, P. Donoso, P. Aguirre, O. Cárdenas, M. Zúñiga &
S. M. Rowland, "Electrical tree growth and partial discharges analyzed
by fractal and correlation dimensions," IEEE Conference on Electrical Insulation and Dielectric Phenomena, 2017.

- C. Castillo-Laborde, M. Nájera-De Ferrari, P. Gajardo, P. Aguirre, H. Ramírez, D. Ramírez, A. Cesped, X. Aguilera, C. González, M. Hirmas, I. Matute, A. Olea & I. Delgado, “Modelling the effect of syphilis screening at the entry point in Chilean prisons,” Value in Health, 20 (2017), Nº 9, pp. A869-A870, ISPOR 6th Latin American Conference, Sao Paulo, Brazil, 2017.

- R. Schurch, C. González, P. Aguirre, M. Zúñiga, S. M. Rowland &
I. Iddrissu, "Calculating the fractal dimension from 3D images of
electrical trees", 20th International Symposium on High Voltage Engineering, Buenos Aires, Argentina, 2017.

- P. Aguirre, "Computing solution surfaces of quasilinear PDE's by continuation", 9th European Nonlinear Dynamics Conference ENOC 2017, Budapest, Hungary, 2017.

- P. Aguirre, "Bifurcations of global invariant manifolds in an optically-injected laser," 8th European Nonlinear Dynamics Conference ENOC 2014, Vienna, Austria, 2014.

- P. Aguirre, B Krauskopf & H M Osinga, "Understanding the Shilnikov chaos via the computation of global invariant manifolds," 7th European Nonlinear Dynamics Conference ENOC 2011, Rome, Italy, 2011.

See also: Research.

Universidad Tecnica Federico Santa Maria / Departamento de Matematica / P Aguirre