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Bifurcation Solutions to the Templator Model in Chemical Self-Replication.
- Source :
-
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering . Dec2023, Vol. 33 Issue 15, p1-21. 21p. - Publication Year :
- 2023
-
Abstract
- In this paper, we are concerned with a diffusive templator model in chemical self-replication, which describes the process of an individual molecule duplicating itself. Firstly, the stability of non-negative constant equilibrium solution is introduced. Then the existence of Hopf bifurcation is proved. Particularly, the stability and the direction of Hopf bifurcation for the spatially homogeneous model are discussed. Furthermore, by space decomposition and implicit function theorem, it is shown that the system may undergo a steady-state bifurcation with a two-dimensional kernel. Finally, several numerical simulations are completed to demonstrate the theoretical results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02181274
- Volume :
- 33
- Issue :
- 15
- Database :
- Academic Search Index
- Journal :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 174157868
- Full Text :
- https://doi.org/10.1142/S0218127423501742