Bifurcations and dynamical behaviors for a generalized delayed-diffusive Maginu model

This paper is committed to study the dynamical behaviors of a generalized Maginu model with discrete time delay. We investigate the stability of the positive equilibrium and the existence of periodic solutions bifurcating from the positive equilibrium. Further, by using the center manifold theorem a...

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Bibliographic Details
Published in:SN partial differential equations and applications 2024-06, Vol.5 (3), Article 12
Main Author: Ju, Xiaowei
Format: Article
Language:English
Subjects:
1. Theory of PDEs
Analysis
Mathematical and Computational Biology
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Numerical Analysis
Original Paper
Partial Differential Equations
Theoretical
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Summary:This paper is committed to study the dynamical behaviors of a generalized Maginu model with discrete time delay. We investigate the stability of the positive equilibrium and the existence of periodic solutions bifurcating from the positive equilibrium. Further, by using the center manifold theorem and the normal form theory, we derive the precise condition to judge the bifurcation direction and the stability of the bifurcating periodic solutions. Also, we deduce the exact condition to determine the Turing instability of the Hopf bifurcating periodic solutions for diffusive system. Numerical simulations are used to support our theoretical analysis.
ISSN:2662-2963
2662-2971
DOI:10.1007/s42985-024-00282-2