Stability of Solutions to the Logistic Equation with Delay, Diffusion, and Nonclassical Boundary Conditions

I. S. Kashchenko^a^,*, S. A. Kashchenko^a^,**, and I. N. Maslenikov^a^,***

^aDemidov Yaroslavl State University, Regional Scientific and Educational Mathematical Center of Yaroslavl State University, Yaroslavl, Russia

email: *iliyask@uniyar.ac.ru
email: **kasch@uniyar.ac.ru
email: ***igor.maslenikov16@yandex.ru

Received 25 February, 2024

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

DOI: 10.1134/S1064562424702132