Existence and Stability of Periodic Solutions of Nicholson-Type System with Nonlinear Density-Dependent Mortality

被引：1

作者：

Ossandon, Gustavo ^{[1
]}

Sepulveda, Daniel ^{[1
]}

机构：

[1] Univ Tecnol Metropolitana, Dept Matemat, Las Palmeras 3360, Santiago, Chile

来源：

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2024年 / 32卷 / 02期

关键词：

Nicholson type system; Delay differential systems; Periodic solutions; Asymptotic stability; DIFFERENTIAL-EQUATIONS; BLOWFLIES; MODEL;

D O I：

10.1007/s12591-021-00580-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article studies an omega-periodic system of Nicholson-type differential equations with nonlinear density-dependent mortality rate. Using the degree theory we obtain sufficient conditions for the existence of a positive omega-periodic solution. Also a result of local asymptotic stability for the periodic solution is obtained by Lyapunov theory. Our results improve previous researches on the subject.

引用

页码：489 / 503

页数：15

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