Hopf bifurcation and Turing instability in a diffusive predator-prey model with hunting cooperation
Abstract: In this article, we study Hopf bifurcation and Turing instability of a diffusive predator-prey model with hunting cooperation. For the local model, we analyze the stability of the equilibrium and derive conditions for determining the direction of Hopf bifurcation and the stability of the bifurcating periodic solution by the center manifold and the normal form theory. For the reaction-diffusion model, first it is shown that Turing instability occurs, then the direction and stability of the Hopf bifurcation is reached. Our results show that hunting cooperation plays a crucial role in the dynamics of the model, that is, it can be beneficial to the predator population and induce the rise of Turing instability. Finally, numerical simulations are performed to visualize the complex dynamic behavior.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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Hopf bifurcation and Turing instability in a diffusive predator-prey model with hunting cooperation ; volume:20 ; number:1 ; year:2022 ; pages:986-997 ; extent:12
Open mathematics ; 20, Heft 1 (2022), 986-997 (gesamt 12)
- Urheber
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Miao, Liangying
He, Zhiqian
- DOI
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10.1515/math-2022-0474
- URN
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urn:nbn:de:101:1-2022091314074350513355
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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15.08.2025, 07:32 MESZ
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Beteiligte
- Miao, Liangying
- He, Zhiqian
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