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Volume 5, Issue 1
Stability and Bifurcation Analysis in a Nonlocal Diffusive Predator-Prey Model with Hunting Cooperation

Chaozhi Zhu & Yahong Peng

DOI: 10.12150/jnma.2023.95

J. Nonl. Mod. Anal., 5 (2023), pp. 95-107.

Published online: 2023-08

[An open-access article; the PDF is free to any online user.]

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  • Abstract

In this paper, we propose a diffusive predator-prey model with hunting cooperation and nonlocal competition. Under a rather general selection of the kernel function, we first study the stability of the positive equilibrium of the model. Then, we obtain the conditions which Hopf bifurcation and Turing bifurcation occur. Our results show that nonlocal competition plays an important role in determining the dynamics of the model.

  • Keywords

Predator-prey system, Nonlocal competition, Stability, Hopf bifurcation, Turing bifurcation.

  • AMS Subject Headings

35B32, 35B35, 35K57, 92D25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-5-95, author = {Zhu , Chaozhi and Peng , Yahong}, title = {Stability and Bifurcation Analysis in a Nonlocal Diffusive Predator-Prey Model with Hunting Cooperation}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2023}, volume = {5}, number = {1}, pages = {95--107}, abstract = {

In this paper, we propose a diffusive predator-prey model with hunting cooperation and nonlocal competition. Under a rather general selection of the kernel function, we first study the stability of the positive equilibrium of the model. Then, we obtain the conditions which Hopf bifurcation and Turing bifurcation occur. Our results show that nonlocal competition plays an important role in determining the dynamics of the model.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2023.95}, url = {http://global-sci.org/intro/article_detail/jnma/21918.html} }
TY - JOUR T1 - Stability and Bifurcation Analysis in a Nonlocal Diffusive Predator-Prey Model with Hunting Cooperation AU - Zhu , Chaozhi AU - Peng , Yahong JO - Journal of Nonlinear Modeling and Analysis VL - 1 SP - 95 EP - 107 PY - 2023 DA - 2023/08 SN - 5 DO - http://doi.org/10.12150/jnma.2023.95 UR - https://global-sci.org/intro/article_detail/jnma/21918.html KW - Predator-prey system, Nonlocal competition, Stability, Hopf bifurcation, Turing bifurcation. AB -

In this paper, we propose a diffusive predator-prey model with hunting cooperation and nonlocal competition. Under a rather general selection of the kernel function, we first study the stability of the positive equilibrium of the model. Then, we obtain the conditions which Hopf bifurcation and Turing bifurcation occur. Our results show that nonlocal competition plays an important role in determining the dynamics of the model.

Chaozhi Zhu & Yahong Peng. (2023). Stability and Bifurcation Analysis in a Nonlocal Diffusive Predator-Prey Model with Hunting Cooperation. Journal of Nonlinear Modeling and Analysis. 5 (1). 95-107. doi:10.12150/jnma.2023.95
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