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Víctor Castellanos
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Year
Existence of limit cycles in a three level trophic chain with Lotka–Volterra and Holling type II functional responses
V Castellanos, RE Chan-López
Chaos, Solitons & Fractals 95, 157-167, 2017
322017
Simultaneous Periodic Orbits Bifurcating from Two Zero-Hopf Equilibria in a Tritrophic Food Chain Model
V Castellanos, J Llibre, I Quilantan
Journal of Applied Mathematics and Physics 1 (7), 31-38, 2013
302013
Integrability and global dynamics of the May–Leonard model
G Blé, V Castellanos, J Llibre, I Quilantán
Nonlinear Analysis: Real World Applications 14 (1), 280–293, 2013
282013
Hopf and Bautin bifurcation in a tritrophic food chain model with Holling functional response types III and IV
V Castellanos, FE Castillo-Santos, MA Dela-Rosa, I Loreto-Hernández
International Journal of Bifurcation and Chaos 28 (03), 1850035, 2018
182018
Existence of limit cycles in a tritrophic food chain model with Holling functional responses of type II and III
VCJL Gamaliel Blé
Mathematical Methods in the Applied Sciences, 11, 2016
15*2016
On the global flow of a 3-dimensional Lotka–Volterra system
J Alavez-Ramirez, G Ble, V Castellanos, J Llibre
Nonlinear Analysis: Theory, Methods & Applications 75 (10), 4114-4125, 2012
152012
Coexistence of species in a tritrophic food chain model with Holling functional response type IV
G Blé, V Castellanos, MA Dela‐Rosa
Mathematical Methods in the Applied Sciences 41 (16), 6683-6701, 2018
132018
The index of non algebraically isolated singularities
V Castellanos
Boletín de la Sociedad Matemática Mexicana: Tercera Serie 8 (2), 141-147, 2002
122002
The existence of a limit cycle in a pollinator–plant–herbivore mathematical model
V Castellanos, F Sánchez-Garduño
Nonlinear Analysis: Real World Applications 48, 212-231, 2019
72019
On the coexisting dynamics in the alternate iteration of two logistic maps
G Ble, V Castellanos, M Falconi
Dynamical Systems 26 (2), 189-197, 2011
62011
Biological control in a simple ecological model via subcritical Hopf and Bogdanov-Takens bifurcations
E Chan-López, V Castellanos
Chaos, Solitons & Fractals 157, 111921, 2022
52022
Andronov–Hopf and Bautin bifurcation in a tritrophic food chain model with Holling functional response types IV and II
B Gamaliel, C Víctor, LH Iván
Electronic Journal of Qualitative Theory of Differential Equations 2018 (78 …, 2018
52018
Dynamics of a nonlinear mathematical model for three interacting populations
F Sánchez-Garduño, V Castellanos, I Quilantán
Boletín de la Sociedad Matemática Mexicana 20, 147-170, 2014
52014
Existence of limit cicles in a tritrophic food chain model with holling functional responses of type I and II
V Castellanos, G Blé, J Llibre
Mathematical Methods in the Applied Sciences 39 (1), 1-2, 2016
42016
Periodic orbits in predator-prey systems with Holling functional responses
V Castellanos, M Falconi, J Llibre
Scientiae Mathematicae Japonicae 67 (2), 205-218, 2008
42008
Asymptotic measures of random logistic maps
G Ble, V Castellanos, M Falconi
Journal of Difference Equations and Applications 13 (1), 1-13, 2007
32007
Traveling Wave Solutions for Nonlinear Reaction-Diffusion Equations as Dynamical Systems Problems
F Sánchez-Garduño, V Castellanos
Lobachevskii Journal of Mathematics 43 (1), 141-161, 2022
22022
Algebraic and Computational Formulas for the Index of Real Analytic Vector Fields
V Castellanos, A Castorena, M Cruz-López
Results in Mathematics 59, 125-139, 2011
22011
Bifurcation analysis of a Kolmogorov type Tritrophic model
G Blé, V Castellanos, MA Dela–Rosa
Acta Applicandae Mathematicae 181 (1), 2, 2022
12022
Stable limit cycles in an intraguild predation model with general functional responses
G Blé, V Castellanos, I Loreto Hernández
Mathematical Methods in the Applied Sciences 45 (4), 2219-2233, 2022
12022
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Articles 1–20