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

IF 0.5 4区数学 Q3 MATHEMATICS

Doklady Mathematics Pub Date : 2024-08-09 DOI:10.1134/S1064562424702132

I. S. Kashchenko, S. A. Kashchenko, I. N. Maslenikov

引用次数: 0

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.

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具有延迟、扩散和非经典边界条件的逻辑方程解的稳定性

研究了具有延迟和扩散以及非经典边界条件的逻辑方程。研究了非三维平衡态的稳定性，并对由此产生的分岔进行了数值研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Doklady Mathematics 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3-6 weeks

期刊介绍： Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.