Nonlinear Phenomena in Complex Systems, 2023, Vol.26, No.1, pp.68

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2023, Vol.26, No.1, pp.68 - 71

Bifurcations in a Distributed Logistic Equation with Delay and a Degenerate Diffusion Operator

S. V. Aleshin, S. D. Glyzin, S. A. Kashchenko, and A. O. Tolbey

Local dynamics of a logistic equation with delay and a degenerate diffusion operator is considered. It is shown that the degeneration of the diffusion operator can lead to infinitedimensional critical cases. Quasinormal forms are constructed that determine the dynamics of the original boundary value problem.

Key words: logistic equation, asymptotics, quasinormal form, stability, bifurcations, delay

DOI: https://doi.org/10.33581/1561-4085-2023-26-1-68-71

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