I. S. Kashchenko, S. A. Kaschenko, I. N. Maslenikov, “Stability of solutions to the logistic equation with delay, diffusion, and nonclassical boundary conditions”, Dokl. RAN. Math. Inf. Proc. Upr., 2024, Volume 517,Pages <nobr>101

MATHEMATICS

Stability of solutions to the logistic equation with delay, diffusion, and nonclassical boundary conditions

I. S. Kashchenko^a, S. A. Kaschenko^a, I. N. Maslenikov^b

^a P.G. Demidov Yaroslavl State University, Yaroslavl, Russian Federation
^b Regional Scientific and Educational Mathematical Center, P. G. Demidov Yaroslavl State University

Abstract: The logistic equation with delay and diffusion and with nonclassical boundary conditions is studied. The stability of a nontrivial equilibrium state is investigated, and the resulting bifurcations are studied numerically.

Keywords: logistic equation, delay, diffusion, nonclassical boundary conditions, stability.

UDC: 511

Presented: V. V. Kozlov
Received: 25.02.2024
Revised: 28.03.2024
Accepted: 14.05.2024

DOI: 10.31857/S2686954324030172