Multiple bifurcations of a discrete modified Leslie-Gower predator-prey model

In this paper, we work on the discrete modified Leslie type predator-prey model with Holling type II functional response. The existence and local stability of the fixed points of this system are studied. According to bifurcation theory and normal forms, we investigate the codimension 1 and 2 bifurca...
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Autor*in:	Yajie Sun [verfasserIn] Ming Zhao [verfasserIn] Yunfei Du [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	discrete predator-prey model fold bifurcation 1:1 strong resonance bifurcation fold-flip bifurcation 1:2 strong resonance bifurcation

Übergeordnetes Werk:	In: Mathematical Biosciences and Engineering - AIMS Press, 2020, 20(2023), 12, Seite 20437-20467
Übergeordnetes Werk:	volume:20 ; year:2023 ; number:12 ; pages:20437-20467

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3934/mbe.2023904

Katalog-ID:	DOAJ100105297

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520			\|a In this paper, we work on the discrete modified Leslie type predator-prey model with Holling type II functional response. The existence and local stability of the fixed points of this system are studied. According to bifurcation theory and normal forms, we investigate the codimension 1 and 2 bifurcations of positive fixed points, including the fold, 1:1 strong resonance, fold-flip and 1:2 strong resonance bifurcations. In particular, the discussion of discrete codimension 2 bifurcation is rare and difficult. Our work can be seen as an attempt to complement existing research on this topic. In addition, numerical analysis is used to demonstrate the correctness of the theoretical results. Our analysis of this discrete system revealed quite different dynamical behaviors than the continuous one.
650		4	\|a discrete predator-prey model
650		4	\|a fold bifurcation
650		4	\|a 1:1 strong resonance bifurcation
650		4	\|a fold-flip bifurcation
650		4	\|a 1:2 strong resonance bifurcation
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allfieldsSound	10.3934/mbe.2023904 doi (DE-627)DOAJ100105297 (DE-599)DOAJc63cf65fafd740fdbecc7de59a4af9bf DE-627 ger DE-627 rakwb eng TP248.13-248.65 QA1-939 Yajie Sun verfasserin aut Multiple bifurcations of a discrete modified Leslie-Gower predator-prey model 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we work on the discrete modified Leslie type predator-prey model with Holling type II functional response. The existence and local stability of the fixed points of this system are studied. According to bifurcation theory and normal forms, we investigate the codimension 1 and 2 bifurcations of positive fixed points, including the fold, 1:1 strong resonance, fold-flip and 1:2 strong resonance bifurcations. In particular, the discussion of discrete codimension 2 bifurcation is rare and difficult. Our work can be seen as an attempt to complement existing research on this topic. In addition, numerical analysis is used to demonstrate the correctness of the theoretical results. Our analysis of this discrete system revealed quite different dynamical behaviors than the continuous one. discrete predator-prey model fold bifurcation 1:1 strong resonance bifurcation fold-flip bifurcation 1:2 strong resonance bifurcation Biotechnology Mathematics Ming Zhao verfasserin aut Yunfei Du verfasserin aut In Mathematical Biosciences and Engineering AIMS Press, 2020 20(2023), 12, Seite 20437-20467 (DE-627)522894844 (DE-600)2265126-3 15510018 nnns volume:20 year:2023 number:12 pages:20437-20467 https://doi.org/10.3934/mbe.2023904 kostenfrei https://doaj.org/article/c63cf65fafd740fdbecc7de59a4af9bf kostenfrei https://www.aimspress.com/article/doi/10.3934/mbe.2023904?viewType=HTML kostenfrei https://doaj.org/toc/1551-0018 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 20 2023 12 20437-20467
language	English
source	In Mathematical Biosciences and Engineering 20(2023), 12, Seite 20437-20467 volume:20 year:2023 number:12 pages:20437-20467
sourceStr	In Mathematical Biosciences and Engineering 20(2023), 12, Seite 20437-20467 volume:20 year:2023 number:12 pages:20437-20467
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institution	findex.gbv.de
topic_facet	discrete predator-prey model fold bifurcation 1:1 strong resonance bifurcation fold-flip bifurcation 1:2 strong resonance bifurcation Biotechnology Mathematics
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authorswithroles_txt_mv	Yajie Sun @@aut@@ Ming Zhao @@aut@@ Yunfei Du @@aut@@
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callnumber-first	T - Technology
author	Yajie Sun
spellingShingle	Yajie Sun misc TP248.13-248.65 misc QA1-939 misc discrete predator-prey model misc fold bifurcation misc 1:1 strong resonance bifurcation misc fold-flip bifurcation misc 1:2 strong resonance bifurcation misc Biotechnology misc Mathematics Multiple bifurcations of a discrete modified Leslie-Gower predator-prey model
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topic_title	TP248.13-248.65 QA1-939 Multiple bifurcations of a discrete modified Leslie-Gower predator-prey model discrete predator-prey model fold bifurcation 1:1 strong resonance bifurcation fold-flip bifurcation 1:2 strong resonance bifurcation
topic	misc TP248.13-248.65 misc QA1-939 misc discrete predator-prey model misc fold bifurcation misc 1:1 strong resonance bifurcation misc fold-flip bifurcation misc 1:2 strong resonance bifurcation misc Biotechnology misc Mathematics
topic_unstemmed	misc TP248.13-248.65 misc QA1-939 misc discrete predator-prey model misc fold bifurcation misc 1:1 strong resonance bifurcation misc fold-flip bifurcation misc 1:2 strong resonance bifurcation misc Biotechnology misc Mathematics
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title	Multiple bifurcations of a discrete modified Leslie-Gower predator-prey model
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title_full	Multiple bifurcations of a discrete modified Leslie-Gower predator-prey model
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title_sort	multiple bifurcations of a discrete modified leslie-gower predator-prey model
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title_auth	Multiple bifurcations of a discrete modified Leslie-Gower predator-prey model
abstract	In this paper, we work on the discrete modified Leslie type predator-prey model with Holling type II functional response. The existence and local stability of the fixed points of this system are studied. According to bifurcation theory and normal forms, we investigate the codimension 1 and 2 bifurcations of positive fixed points, including the fold, 1:1 strong resonance, fold-flip and 1:2 strong resonance bifurcations. In particular, the discussion of discrete codimension 2 bifurcation is rare and difficult. Our work can be seen as an attempt to complement existing research on this topic. In addition, numerical analysis is used to demonstrate the correctness of the theoretical results. Our analysis of this discrete system revealed quite different dynamical behaviors than the continuous one.
abstractGer	In this paper, we work on the discrete modified Leslie type predator-prey model with Holling type II functional response. The existence and local stability of the fixed points of this system are studied. According to bifurcation theory and normal forms, we investigate the codimension 1 and 2 bifurcations of positive fixed points, including the fold, 1:1 strong resonance, fold-flip and 1:2 strong resonance bifurcations. In particular, the discussion of discrete codimension 2 bifurcation is rare and difficult. Our work can be seen as an attempt to complement existing research on this topic. In addition, numerical analysis is used to demonstrate the correctness of the theoretical results. Our analysis of this discrete system revealed quite different dynamical behaviors than the continuous one.
abstract_unstemmed	In this paper, we work on the discrete modified Leslie type predator-prey model with Holling type II functional response. The existence and local stability of the fixed points of this system are studied. According to bifurcation theory and normal forms, we investigate the codimension 1 and 2 bifurcations of positive fixed points, including the fold, 1:1 strong resonance, fold-flip and 1:2 strong resonance bifurcations. In particular, the discussion of discrete codimension 2 bifurcation is rare and difficult. Our work can be seen as an attempt to complement existing research on this topic. In addition, numerical analysis is used to demonstrate the correctness of the theoretical results. Our analysis of this discrete system revealed quite different dynamical behaviors than the continuous one.
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title_short	Multiple bifurcations of a discrete modified Leslie-Gower predator-prey model
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Multiple bifurcations of a discrete modified Leslie-Gower predator-prey model

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