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Three limit cycles in a Leslie–Gower predator-prey model with additive Allee effect
P Aguirre, E González-Olivares, E Sáez
SIAM Journal on Applied Mathematics 69 (5), 1244-1262, 2009
1832009
Two limit cycles in a Leslie–Gower predator–prey model with additive Allee effect
P Aguirre, E González-Olivares, E Sáez
Nonlinear Analysis: Real World Applications 10 (3), 1401-1416, 2009
1532009
Bifurcations and global dynamics in a predator–prey model with a strong Allee effect on the prey, and a ratio-dependent functional response
P Aguirre, JD Flores, E González-Olivares
Nonlinear Analysis: Real World Applications 16, 235-249, 2014
592014
Stochastic predator–prey model with Allee effect on prey
P Aguirre, E González-Olivares, S Torres
Nonlinear Analysis: Real World Applications 14 (1), 768-779, 2013
522013
Allee effect acting on the prey species in a Leslie–Gower predation model
N Martinez-Jeraldo, P Aguirre
Nonlinear Analysis: Real World Applications 45, 895-917, 2019
462019
Bifurcation analysis of a predator-prey model with predator intraspecific interactions and ratio-dependent functional response
C Arancibia-Ibarra, P Aguirre, J Flores, P van Heijster
Applied Mathematics and Computation 402, 126152, 2021
412021
Investigating the consequences of global bifurcations for two-dimensional invariant manifolds of vector fields
H Osinga, B Krauskopf, E Doedel, P Aguirre
Discrete and Continuous Dynamical Systems 29 (4), 1309-1344, 2010
382010
Global invariant manifolds near homoclinic orbits to a real saddle:(non) orientability and flip bifurcation
P Aguirre, B Krauskopf, HM Osinga
SIAM Journal on Applied Dynamical Systems 12 (4), 1803-1846, 2013
342013
Global invariant manifolds near a Shilnikov homoclinic bifurcation
P Aguirre, B Krauskopf, HM Osinga
Journal of Computational Dynamics 1 (1), 1-38, 2014
302014
A general class of predation models with multiplicative Allee effect
P Aguirre
Nonlinear Dynamics 78, 629-648, 2014
222014
Hyperpolarization-activated current induces period-doubling cascades and chaos in a cold thermoreceptor model
K Xu, JP Maidana, M Caviedes, D Quero, P Aguirre, P Orio
Frontiers in computational neuroscience 11, 12, 2017
122017
Electrical tree growth and partial discharges analyzed by fractal and correlation dimensions
R Schurch, P Donoso, P Aguirre, M Zuniga, SM Rowland
2017 IEEE Conference on Electrical Insulation and Dielectric Phenomenon …, 2017
92017
Finding strategies to regulate propagation and containment of dengue via invariant manifold analysis
D Contreras-Julio, P Aguirre, J Mujica, O Vasilieva
SIAM Journal on Applied Dynamical Systems 19 (2), 1392-1437, 2020
82020
Bifurcations of two-dimensional global invariant manifolds near a noncentral saddle-node homoclinic orbit
P Aguirre
SIAM Journal on Applied Dynamical Systems 14 (3), 1600-1643, 2015
82015
Usos, Impactos y Derechos: Posibilidades, Políticas y Jurídicas para la Investigación de la Hoja de Coca en Colombia
A Muro, P Aguirre, D Parra, M Piza
Elementa: Bogotá DC., Colombia, 2018
72018
Calculating the fractal dimension from 3D images of electrical trees
R Schurch, C González, P Aguirre, M Zuniga, SM Rowland, I Iddrissu
Proceedings of the 2017 International Symposium on High Voltage Engineering …, 2017
72017
Modelling cost-effectiveness of syphilis detection strategies in prisoners: exploratory exercise in a Chilean male prison
C Castillo-Laborde, P Gajardo, M Nájera-De Ferrari, I Matute, ...
Cost Effectiveness and Resource Allocation 19, 1-9, 2021
52021
Allee thresholds and basins of attraction in a predation model with double Allee effect
D Contreras Julio, P Aguirre
Mathematical Methods in the Applied Sciences 41 (7), 2699-2714, 2018
52018
A case study of multiple wave solutions in a reaction-diffusion system using invariant manifolds and global bifurcations
E Villar-Sepúlveda, P Aguirre, VF Breña-Medina
SIAM Journal on Applied Dynamical Systems 22 (2), 918-950, 2023
32023
Study of a Tritrophic Food Chain Model with Non-differentiable Functional Response
V Rivera, P Aguirre
Acta Applicandae Mathematicae 165 (1), 19-43, 2020
22020
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