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Hopf bifurcation analysis in a diffusive predator–prey system with spatial heterogeneity and delays.
- Source :
- Zeitschrift für Angewandte Mathematik und Physik (ZAMP); Jun2023, Vol. 74 Issue 3, p1-21, 21p
- Publication Year :
- 2023
-
Abstract
- In this paper, we consider a diffusive Lotka–Volterra predator–prey system with spatial heterogeneity and two delays. We first show that there exists a nonconstant positive steady state when the diffusion rates of prey and predator are large. Then, we obtain the stability of the steady state and show the existence of a Hopf bifurcation. Moreover, some numerical simulations are provided to illustrate our theoretical results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00442275
- Volume :
- 74
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
- Publication Type :
- Academic Journal
- Accession number :
- 163829144
- Full Text :
- https://doi.org/10.1007/s00033-023-01990-2