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Bifurcation analysis of a diffusive predator–prey model with hyperbolic mortality and prey-taxis.
- Source :
- International Journal of Biomathematics; Jan2024, Vol. 17 Issue 1, p1-14, 14p
- Publication Year :
- 2024
-
Abstract
- In this paper, we study a diffusive predator–prey model with hyperbolic mortality and prey-taxis under homogeneous Neumann boundary condition. We first analyze the influence of prey-taxis on the local stability of constant equilibria. It turns out that prey-taxis has influence on the stability of the unique positive constant equilibrium, but has no influence on the stability of the trivial equilibrium and the semi-trivial equilibrium. We then derive Hopf bifurcation and steady state bifurcation related to prey-taxis, which imply that the prey-taxis plays an important role in the dynamics. [ABSTRACT FROM AUTHOR]
- Subjects :
- NEUMANN boundary conditions
HOPF bifurcations
STABILITY constants
MORTALITY
Subjects
Details
- Language :
- English
- ISSN :
- 17935245
- Volume :
- 17
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- International Journal of Biomathematics
- Publication Type :
- Academic Journal
- Accession number :
- 164706959
- Full Text :
- https://doi.org/10.1142/S1793524523500110