List of Journal Publications

  1. J. P. Romero-Leiton, A. Peterson, P. Aguirre & C. Bastidas-Caldes, "Dynamics of antimicrobial resistance beyond a single bacterial strain: Revealing the existence of multiple equilibria and immune system-dependent transitions," Chaos, Solitons and Fractals, 191 (2025), 115912.

  2. J. P. Romero-Leiton, A. Peterson, P. Aguirre, K. R. Acharya & B. Nasri, "Assesing the impact of mutations and horizontal gene transfer on the antimicrobial resistance control: A mathematical model," Computational and Applied Mathematics, 44, 82 (2025).

  3. S. Guarello, N. González, I. Flores & P. Aguirre, "A geometric approach to the impact of immigration of people infected with communicable diseases," Mathematical Biosciences, 378 (2024), 109320.

  4. E. Flores-Garza, R. Hernández-Pando, I. García-Zárate, P. Aguirre & E. Domínguez-Hüttinger, "Bifurcation analysis of a tuberculosis progression model for drug target identification," Scientific Reports, 13 (2023), 17567.

  5. V. Breña-Medina & P. Aguirre,  Editorial: "Recent advances in bifurcation analysis: theory, methods, applications and beyond - volume II", Frontiers in Applied Mathematics and Statistics, 9:1260383 (2023).

  6. 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", Ecological Modelling, 484 (2023), 110449.

  7. 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", SIAM Journal on Applied Dynamical Systems, 22 (2023), pp. 918-950.

  8. 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).

  9. 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.

  10. 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).

  11. 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.

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

  13. 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.

    14.
  14. 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.

  15. 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).

  16. 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.

  17. 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.

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

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

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

  21. 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.

  22. 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.

  23. 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.

  24. 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.

  25. 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.

  26. 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

  1. M. Harris, V. Rivera-Estay, P. Aguirre & V. F. Breña-Medina, "Multiple local and global bifurcations and their role in quorum sensing dynamics." Accepted in The ANZIAM Journal.
Submitted work 

  1. Y. Xu, Y. Yang, L. Rong & P. Aguirre, "Bifurcation analysis orchestrating isola and mushroom bifurcations of limit cycles in a predator-prey system." 

  2. X. Wang, Y. Xu, F. Meng & P. Aguirre, "Unveiling the mechanism of codimension-2 cusp of equilibria and limit cycles in lemming dynamics."
Conference papers
  1. 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.

  2. 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.

  3. 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.

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

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

  6. 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.

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