Publications
Peer-Reviewed Publications
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C. Arancibia-Ibarra and J. D. Flores, Dynamics of a Leslie-Gower predator-prey model with Holling type II functional response, Allee effect and a generalist predator, Mathematics and Computers in Simulation, 2021 [DOI][PDF].
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C. Arancibia-Ibarra, M. Bode, J. Flores, G. Pettet and P. van Heijster, Turing patterns in a diffusive Holling–Tanner predator-prey model with an alternative food source for the predator, Communications in Nonlinear Science and Numerical Simulation (2021) [DOI][PDF].
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C. Arancibia-Ibarra, P. Aguirre, J. Flores and P. van Heijster, Bifurcation analysis of a prey-predator model with predator intra-specific interactions and ratio-dependent functional response, Applied Mathematics and Computation (2021) [DOI][PDF].
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C. Arancibia-Ibarra and J. D. Flores, Modelling and analysis in a modified May–Holling–Tanner predator-prey model with Allee effect in the prey and alternative food source for the predator, Mathematical Biosciences and Engineering, 2020 [DOI][PDF].
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C. Arancibia-Ibarra, M. Bode, J. D. Flores, G. Pettet and P. van Heijster, A modified May-Holling-Tanner predator-prey model with multiple Allee effects on the prey and an alternative food source for the predator, Discrete and Continuous Dynamical Systems Series B (2020) [DOI][PDF].
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C. Arancibia-Ibarra, J. Flores, G. Pettet and P. van Heijster, A Holling-Tanner predator-prey model with strong Allee effect, International Journal of Bifurcation and Chaos, (2019) [DOI][PDF].
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E. González‐Olivares, C. Arancibia-Ibarra, A. Rojas-Palma and B. González-Yañez, Dynamics of a modified Leslie-Gower predation model considering a generalist predator and the hyperbolic functional response, Mathematical Biosciences and Engineering, (2019) [DOI][PDF].
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E. González‐Olivares, C. Arancibia-Ibarra, A. Rojas-Palma and B. González-Yañez, Bifurcations and multistability on the May-Holling-Tanner predation model considering alternative food for the predator, Mathematical Biosciences and Engineering, (2019) [DOI][PDF].
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C. Arancibia-Ibarra, The Basins of Attraction in a Modified May-Holling-Tanner Predator-Prey Model with Allee Effect, Nonlinear Analysis, (2019) [DOI][PDF].
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C. Arancibia-Ibarra and E. Gonzalez-Olivares, The Holling-Tanner model considering an alternative food for the predator, Proceedings of the 2015 International Conference on Computational and Mathematical Methods in Science and Engineering CMMSE 2015, (2015) [DOI][PDF].
Publications in Review/Revision
- C. Arancibia-Ibarra, J. D. Flores and P. van Heijster, Stability analysis of a modified Leslie-Gower predation model with weak Allee effect in the prey, 2021 [preprint].
Publications in Preparation
- C. Arancibia-Ibarra, J. Flores and P. van Heijster, Invasion wave induced by a modified Holling-Tanner predator-prey model with a hyperbolic functional response and an alternative food source for the predator.
Book/Article Review
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C. Arancibia-Ibarra. Review of D. Bai, Y. Kang, S. Ruan and L. Wang, Dynamics of an intraguild predation food web model with strong Allee effect in the basal prey, Nonlinear Anal. Real World, 2021 [review].
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C. Arancibia-Ibarra. Review of S. Halder, J. Bhattacharyya and S. Pal, Comparative studies on a predator-prey model subjected to fear and Allee effect with type I and type II foraging, J. Appl. Math. Comput, 2020 [review].
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C. Arancibia-Ibarra. Review of J. Tuwankotta and E. Harjanto, Strange attractors in a predator-prey system with non-monotonic response function and periodic perturbation, Journal of Computational Dynamics, 2019 [review].
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C. Arancibia-Ibarra. Review of M. Singh and B. Bhadauria, The impact of nonlinear harvesting on a ratio-dependent Holling--Tanner predator-prey system and optimum harvesting, Appl. Appl. Math. 15:117--148, 2020 [review].
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C. Arancibia-Ibarra. Review of H. Castillo-Alvino and M. Marvá, The competition model with Holling type II competitive response to interfering time, J. Biol. Dyn. 14 (2020), no. 1, 222--244 [review].
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C. Arancibia-Ibarra. Review of M. Ajaz, U. Saeed, Q. Din, I. Ali, S. Irfan and I. Muhammad, Bifurcation analysis and chaos control in discrete-time modified Leslie--Gower prey harvesting model. Adv. Difference Equ. 45:24 pp, 2020 [review].
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C. Arancibia-Ibarra. Review of Y. Peng and G. Zhang Dynamics analysis of a predator-prey model with herd behaviour and nonlocal prey competition. Math. Comput. Simulation 170:366-378, 2020 [review].