2024-03-29T11:24:35Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/752382022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Stability criteria for the system of delay differential equations and its applicationsFukuda, IkkiKiri, YuyaSaito, WataruUeda, Yoshihirodelay differential equationasymptotic stabilitypopulation modelneural network model410In this paper, we consider the asymptotic stability for the system of linear delay differential equations. Because of the complicated interactions induced by the delay effects of the system, there are few results of the asymptotic stability for the system of the delay differential equations with multiple delays. Given this fact, we propose the new stability conditions for the system and apply these conditions to some mathematical models for the population dynamics and neural network system described by the system of delay differential equations.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/75238info:doi/10.14943/90093https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/75238/4/revised%20versionTo20210115_Stability%20criteria%20for%20the%20system%20of%20delay%20differential%20equations%20and%20its%20applications.pdfHokkaido University Preprint Series in Mathematics11291152019-08-19engpublisher