Dynamics analysis of a diffusional immunosuppressive infection model with Beddington-DeAngelis functional response

This paper introduces diffusion into an immunosuppressive infection model with virus stimulation delay and Beddington-DeAngelis functional response. First, we study the stability of positive constant steady state solution and show that the Hopf bifurcation will exist under certain conditions. Second...

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Bibliographic Details
Published in:Electronic research archive 2023-01, Vol.31 (10), p.6071-6088
Main Authors: Xue, Yuan, Xu, Jinli, Ding, Yuting
Format: Article
Language:English
Subjects:
beddington-deangelis functional response
delay
hopf bifurcation
immunosuppressive infection model
multiple time scales
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Summary:This paper introduces diffusion into an immunosuppressive infection model with virus stimulation delay and Beddington-DeAngelis functional response. First, we study the stability of positive constant steady state solution and show that the Hopf bifurcation will exist under certain conditions. Second, we derive the normal form of the Hopf bifurcation for the model reduced on the center manifold by using the multiple time scales (MTS) method. Moreover, the direction and stability of the bifurcating periodic solution are investigated. Finally, we present numerical simulations to verify the results of theoretical analysis and provide corresponding biological explanations.
ISSN:2688-1594
2688-1594
DOI:10.3934/era.2023309