Stability analysis and Hopf bifurcation in a diffusive epidemic model with two delays

Autor: Huan Dai, Yuying Liu, Junjie Wei
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Mathematical Biosciences and Engineering, Vol 17, Iss 4, Pp 4127-4146 (2020)
Druh dokumentu: article
ISSN: 1551-0018
DOI: 10.3934/mbe.2020229?viewType=HTML
Popis: A diffusive epidemic model with two delays subjecting to Neumann boundary conditions is considered. First we obtain the existence and the stability of the positive constant steady state. Then we investigate the existence of Hopf bifurcations by analyzing the distribution of the eigenvalues. Furthermore, we derive the normal form on the center manifold near the Hopf bifurcation singularity. Finally, some numerical simulations are carried out to illustrate the theoretical results.
Databáze: Directory of Open Access Journals