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Bifurcation Analysis of a Size-Structured Population Model.
- Source :
-
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering . 2022, Vol. 32 Issue 13, p1-20. 20p. - Publication Year :
- 2022
-
Abstract
- In this paper, a size-structured population model is studied. Choosing the coefficient of birth function as the varying parameter, we prove the existence of Hopf bifurcation and discuss the bifurcation properties, such as the direction of Hopf bifurcation and the stability of bifurcated periodic solutions. The methods used in this paper include Hopf bifurcation theorem, center manifold theorem and normal form theory for the abstract Cauchy problems in a nondense domain. Numerical simulations are finally carried out to show the theoretical results. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HOPF bifurcations
*CAUCHY problem
*COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 02181274
- Volume :
- 32
- Issue :
- 13
- Database :
- Academic Search Index
- Journal :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 160003447
- Full Text :
- https://doi.org/10.1142/S0218127422501899