- P. Aguirre & V. Breña-Medina,
Editorial: "Recent advances in
bifurcation analysis: Theory, methods, applications and
beyond…", Frontiers in Applied Mathematics and Statistics,
8:893759 (2022).

- 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", Applied
Mathematics and Computation, 402 (2021), 126152.

- 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,"
Cost
Effectiveness and Resource Allocation, 19, 5 (2021).

- 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

- E. Villar-Sepúlveda, P. Aguirre & V. Breña-Medina, "A case study of multiple wave solutions in a reaction-diffusion system using invariant manifolds and global bifurcations". Accepted in SIAM Journal on Applied Dynamical Systems.

Submitted work

- J. Acosta-Arreola, E. Domínguez-Hüttinger, P. Aguirre, N. González
& J. A. Meave, "Predicting
dynamic trajectories of a protected plant community under
contrasting
conservation regimes: insights from data-based modelling."

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