当前位置: X-MOL 学术Sib. Math. J. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Asymptotic Behavior of Solutions in One Predator–Prey Model with Delay
Siberian Mathematical Journal ( IF 0.5 ) Pub Date : 2021-03-31 , DOI: 10.1134/s0037446621020117
M. A. Skvortsova , T. Yskak

We consider some system of delay differential equations describing the interaction between predator and prey populations and accounting for the age structure of the predator population. Under study are the asymptotic properties of solutions to this system. We establish the estimates that characterize the solution stabilization rate at infinity as well as the estimates for the attraction domains of asymptotically stable equilibrium points. These results base on the use of Lyapunov–Krasovskii functionals.



中文翻译:

一类时滞捕食-被捕食模型的解的渐近性态。

我们考虑一些延迟微分方程系统,该系统描述了食肉动物与被捕食动物之间的相互作用,并解释了食肉动物的年龄结构。正在研究的是该系统解的渐近性质。我们建立了表征无穷远处溶液稳定率的估计以及渐近稳定平衡点的吸引域的估计。这些结果基于使用Lyapunov–Krasovskii功能。

更新日期:2021-03-31
down
wechat
bug