List of Journal Publications
 E. FloresGarza, R. HernándezPando, I. GarcíaZárate, P. Aguirre & E.
DomínguezHüttinger, "Bifurcation
analysis of a tuberculosis progression model for drug target
identification," Scientific Reports,
13 (2023), 17567.
 V. BreñaMedina & P. Aguirre,
Editorial:
"Recent advances in bifurcation analysis: theory, methods,
applications and beyond  volume II", Frontiers in
Applied Mathematics and Statistics,
9:1260383 (2023).
 J. AcostaArreola, E. DomínguezHüttinger, P. Aguirre, N. González & J. A.
Meave, "Predicting
dynamic trajectories of a protected plant community under
contrasting conservation regimes: insights from databased
modelling", Ecological
Modelling,
484 (2023), 110449.
 E. VillarSepúlveda, P. Aguirre
& V. BreñaMedina, "A case study of
multiple wave solutions in a reactiondiffusion system using
invariant manifolds and global bifurcations", SIAM
Journal on Applied Dynamical Systems, 22 (2023), pp. 918950.
 P. Aguirre & V. BreñaMedina,
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 preypredator model with predator intraspecific
interactions and ratiodependent functional response", Applied
Mathematics and Computation, 402 (2021), 126152.
 C. CastilloLaborde, P. Gajardo, M. NájeraDe Ferrari, I.
Matute, M. HirmasAdauy, P.
Aguirre, H. Ramírez, D. Ramírez & X. Aguilera, "Modelling
costeffectiveness of syphilis detection strategies in
prisoners: Exploratory exercise in a Chilean male prison,"
Cost
Effectiveness and Resource Allocation, 19, 5 (2021).
 D. ContrerasJulio, 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. 13921437.
Selected for
inclusion in SIAM Epidemiology Collection.
 V. Rivera & P. Aguirre, "Study of a
tritrophic food chain model with nondifferentiable functional
response," Acta
Applicandae Mathematicae, 165 (2020), pp.
1943.
 N. MartínezJeraldo
& P. Aguirre, "Allee
effect acting on the prey species in a LeslieGower predation
model," Nonlinear
Analysis: Real World Applications, 45 (2019), pp. 895917.
 D. ContrerasJulio & 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. 26992714.
 K. Xu, J. P. Maidana, M. Caviedes, D. Quero, P. Aguirre & P.
Orio, "Hyperpolarizationactivated
current induces perioddoubling 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. 1029.
 P Aguirre,
"Bifurcations
of twodimensional global invariant manifolds near a
noncentral saddlenode homoclinic orbit," SIAM
Journal on Applied Dynamical Systems, 14 (2015),
pp. 16001644.
 P. Aguirre, "A general
class of predation models with multiplicative Allee effect."
Nonlinear
Dynamics, 78 (2014), 629648.
 P.
Aguirre, "On
two families of stochastic predation models with Allee
effect," Scientia Series A: Mathematical
Sciences, 25
(2014), pp. 95107.
 P Aguirre,
B Krauskopf & H M Osinga, "Global
invariant manifolds near a Shilnikov homoclinic
bifurcation," Journal of Computational
Dynamics, 1 (2014), pp. 138.
 P. Aguirre,
J D Flores and E GonzalezOlivares, "Bifurcations
and
global dynamics in a predatorprey model with a strong
Allee effect on prey, and a ratiodependent functional
response," Nonlinear Analysis: Real World
Applications, 16
(2014), pp. 235249.
 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. 18031846.
Highlighted by SIADS
editors in DSWeb.
 P. Aguirre,
E GonzalezOlivares & S. Torres,
"Stochastic
predatorprey
model with Allee effect on prey," Nonlinear
Analysis: Real World Applications, 14 (2013), pp.
768779.
 P Aguirre,
E J Doedel, B Krauskopf & H M Osinga, "Investigating
the
consequences of global bifurcations for twodimensional
invariant manifolds of vector fields," Discrete
and Continuous Dynamical Systems  Series A, 29
(2011), pp. 13091344.
 P Aguirre,
E GonzalezOlivares & E Saez, "Three limit
cycles in a LeslieGower predatorprey model with additive
Allee effect," SIAM
Journal on Applied Mathematics, Volume 69 (2009),
pp. 12441262.
 P Aguirre,
E GonzalezOlivares & E Saez, "Two limit
cycles in a LeslieGower predatorprey model with additive
Allee effect," Nonlinear Analysis: Real World
Applications, 10 (2009), pp. 14011416.
Publications to appear
Submitted work

A. Peterson, J. P. RomeroLeiton, P. Aguirre, K. R.
Acharya &
B. Nasri, "Assesing the impact of mutations and horizontal
gene transfer on the antimicrobial resistance control: A
mathematical model."
 S. Guarello, N. González, I. Flores & P. Aguirre,
"A geometric approach to the impact of immigration of people
infected with communicable diseases."

Y. Xu, Y. Yang, L. Rong & P. Aguirre, "Bifurcation
analysis orchestrating isola and mushroom bifurcations of
limit cycles in a predatorprey system."
 J. P. RomeroLeiton, A. Peterson, P. Aguirre & C.
BastidasCaldes, "Dynamics of antimicrobial
resistance beyond a single bacterial strain: Revealing the
existence of multiple equilibria and immune systemdependent
transitions."
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. CastilloLaborde, M. NájeraDe 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.
A869A870, 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 opticallyinjected
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