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Hopf bifurcation for a class of predator-prey system with small immigration.
- Source :
- Electronic Research Archive; Jul2024, Vol. 32 Issue 7, p1-10, 10p
- Publication Year :
- 2024
-
Abstract
- The subject of this paper concerns with the bifurcation of limit cycles for a predator-prey model with small immigration. Since, in general, the biological systems are not isolated, taking into account immigration in the model becomes more realistic. In this context, we deal with a model with a Holling type Ⅰ function response and study, using averaging theory of second order, the Hopf bifurcation that can emerge under small perturbation of the biological parameters. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 26881594
- Volume :
- 32
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- Electronic Research Archive
- Publication Type :
- Academic Journal
- Accession number :
- 178999810
- Full Text :
- https://doi.org/10.3934/era.2024209