Hopf bifurcation analysis of Sel’kov model with time delay

Autor:	MA Yani, YUAN Hailong, WANG Yadi
Jazyk:	čínština
Rok vydání:	2023
Předmět:	time delay sel’kov model hopf bifurcation stability simulations Materials of engineering and construction. Mechanics of materials TA401-492 Environmental engineering TA170-171
Zdroj:	Xi'an Gongcheng Daxue xuebao, Vol 37, Iss 3, Pp 115-123 (2023)
Druh dokumentu:	article
ISSN:	1674-649X 1674-649x
DOI:	10.13338/j.issn.1674-649x.2023.03.016
Popis:	The Sel’kov model with time-delay diffusion under homogeneous Neumann boundary conditions is considered. Firstly, the local asymptotically stability of the positive equilibrium point of the model is obtained by using spectral theory. Secondly, the existence of Hopf bifurcation of the model is studied by taking the time delay as the bifurcation parameter. Then, according to the central manifold theorem and the normal form theory of partial differential functional equation, the stability and bifurcation direction of the Hopf bifurcation periodic solutions are obtained. Finally, with Matlab software, the Hopf bifurcation experienced by the system near the critical point is simulated. The results show that the time delay can affect the stability of the Sel’kov model.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/427cbac3ef5e4cadb310b2c175803b32 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF