Simultaneous Periodic Orbits Bifurcating from Two Zero-Hopf Equilibria in a Tritrophic Food Chain Model

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Journal of Applied Mathematics and Physics

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"Simultaneous Periodic Orbits Bifurcating from Two Zero-Hopf Equilibria in a Tritrophic Food Chain Model"
written by Vctor Castellanos, Jaume Llibre, Ingrid Quilantan,
published by Journal of Applied Mathematics and Physics, Vol.1 No.7, 2013

has been cited by the following article(s):

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[1]	Persistence and zero-Hopf equilibrium in the tritrophic food chain model with Holling functional response Nonlinear Analysis: Real World Applications, 2025 DOI:10.1016/j.nonrwa.2024.104232

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[3]	Zero-Hopf bifurcation in the Chua’s circuit Journal of Mathematical Physics, 2023 DOI:10.1063/5.0137020

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[5]	Zero-Hopf bifurcation in the Chua’s circuit Journal of Mathematical Physics, 2023 DOI:10.1063/5.0137020

[6]	Bifurcation Analysis of a Kolmogorov Type Tritrophic Model Acta Applicandae Mathematicae, 2022 DOI:10.1007/s10440-022-00520-y

[7]	Zero-Hopf Bifurcation in a Generalized Genesio Differential Equation Mathematics, 2021 DOI:10.3390/math9040354

[8]	Bogdanov–Takens bifurcation in a predator–prey model with age structure Zeitschrift für angewandte Mathematik und Physik, 2021 DOI:10.1007/s00033-020-01434-1

[9]	Zero-Hopf Bifurcation in a Generalized Genesio Differential Equation Mathematics, 2021 DOI:10.3390/math9040354

[10]	Pattern Formation in Intra-Specific Competition Food Chain System with Bifurcation and Chaos Control International Journal of Bifurcation and Chaos, 2021 DOI:10.1142/S0218127421500486

[11]	TWO-DIMENSIONAL ATTRACTING TORUS IN AN INTRAGUILD PREDATION MODEL WITH GENERAL FUNCTIONAL RESPONSES AND LOGISTIC GROWTH RATE FOR THE PREY Journal of Applied Analysis & Computation, 2021 DOI:10.11948/20200282

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[13]	Integrability and zero-Hopf bifurcation in the Sprott A system Bulletin des Sciences Mathématiques, 2020 DOI:10.1016/j.bulsci.2020.102874

[14]	Integrability and zero-Hopf bifurcation in the Sprott A system Bulletin des Sciences Mathématiques, 2020 DOI:10.1016/j.bulsci.2020.102874

[15]	The existence of a limit cycle in a pollinator–plant–herbivore mathematical model Nonlinear Analysis: Real World Applications, 2019 DOI:10.1016/j.nonrwa.2019.01.011

[16]	Complex Dynamics Due to Multiple Limit Cycle Bifurcations in a Tritrophic Food Chain Model International Journal of Bifurcation and Chaos, 2019 DOI:10.1142/S0218127419501931

[17]	The integrability and the zero-Hopf bifurcation of the three dimensional Lotka-Volterra systems 2018 DOI:10.1063/1.5020487

[18]	Hopf and Bautin Bifurcation in a Tritrophic Food Chain Model with Holling Functional Response Types III and IV International Journal of Bifurcation and Chaos, 2018 DOI:10.1142/S0218127418500359

[19]	Coexistence of species in a tritrophic food chain model with Holling functional response type IV Mathematical Methods in the Applied Sciences, 2018 DOI:10.1002/mma.5184

[20]	Coexistence of species in a tritrophic food chain model with Holling functional response type IV Mathematical Methods in the Applied Sciences, 2018 DOI:10.1002/mma.5184

[21]	Zero‐Hopf bifurcation in the Volterra‐Gause system of predator‐prey type Mathematical Methods in the Applied Sciences, 2017 DOI:10.1002/mma.4569

[22]	Zero‐Hopf bifurcation in the Volterra‐Gause system of predator‐prey type Mathematical Methods in the Applied Sciences, 2017 DOI:10.1002/mma.4569

[23]	Transcritical and zero-Hopf bifurcations in the Genesio system Nonlinear Dynamics, 2017 DOI:10.1007/s11071-016-3259-2

[24]	Existence of limit cycles in a three level trophic chain with Lotka–Volterra and Holling type II functional responses Chaos, Solitons & Fractals, 2017 DOI:10.1016/j.chaos.2016.12.011

[25]	Existence of a Limit Cycle in an Intraguild Food Web Model with Holling Type II and Logistic Growth for the Common Prey Applied Mathematics, 2017 DOI:10.4236/am.2017.83030

[26]	Degenerate Fold–Hopf Bifurcations in a Rössler-Type System International Journal of Bifurcation and Chaos, 2017 DOI:10.1142/S0218127417500687

[27]	Zero-Hopf bifurcation in the Volterra-Gause system of predator-prey type Mathematical Methods in the Applied Sciences, 2017 DOI:10.1002/mma.4569

[28]	Existence of limit cycles in a tritrophic food chain model with Holling functional responses of type II and III Mathematical Methods in the Applied Sciences, 2016 DOI:10.1002/mma.3842

[29]	Existence of limit cycles in a tritrophic food chain model with Holling functional responses of type II and III Mathematical Methods in the Applied Sciences, 2016 DOI:10.1002/mma.3842

[30]	Zero‐Hopf bifurcation in the FitzHugh–Nagumo system Mathematical Methods in the Applied Sciences, 2015 DOI:10.1002/mma.3365

[31]	Zero-Hopf bifurcation in the FitzHugh-Nagumo system Mathematical Methods in the Applied Sciences, 2015 DOI:10.1002/mma.3365

[32]	On the integrability and the zero-Hopf bifurcation of a Chen–Wang differential system Nonlinear Dynamics, 2015 DOI:10.1007/s11071-014-1873-4

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