Bifurcation and chaos in a discrete Holling–Tanner model with Beddington–DeAngelis functional response

The dynamics of a discrete Holling–Tanner model with Beddington–DeAngelis functional response is studied. The permanence and local stability of fixed points for the model are derived. The center manifold theorem and bifurcation theory are used to show that the model can undergo flip and Hopf bifurca...

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Vydané v:	Advances in continuous and discrete models Ročník 2023; číslo 1; s. 41
Hlavní autori:	Yang, Run, Zhao, Jianglin
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Cham Springer International Publishing 23.10.2023 Springer Nature B.V
Predmet:	Analysis Bifurcation theory Centre manifold theory Codes Control methods Difference and Functional Equations Feedback control Fixed points (mathematics) Functional Analysis Hopf bifurcation Liapunov exponents Mathematical models Mathematics Mathematics and Statistics Orbital stability Orbits Ordinary Differential Equations Partial Differential Equations Predator-prey simulation Chaos 1:2 resonance Flip and Hopf bifurcation Stability Discrete predator–prey system
ISSN:	2731-4235, 1687-1839, 2731-4235, 1687-1847
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