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Existence and exponential stability of periodic solutions of Nicholson-type systems with nonlinear density-dependent mortality and linear harvesting

Ossandón, Gustavo and Sepúlveda, Daniel (2023) Existence and exponential stability of periodic solutions of Nicholson-type systems with nonlinear density-dependent mortality and linear harvesting. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2023 (15). pp. 1-18. ISSN 1417-3875

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Abstract

In this work we study a Nicholson-type periodic system with variable delay, density-dependent mortality and linear harvesting rate. Using the topological degree and Lyapunov stability theories, we obtain sufficient conditions that allow us to demonstrate the existence of periodic solutions for the Nicholson-type system and, under suitable conditions, the uniqueness and local exponential stability of the periodic solution is established. We illustrate our results with an example and numerical simulations.

Item Type: Article
Uncontrolled Keywords: Nicholson type systems, delay differential systems, periodic solutions, exponential stability
Subjects: Q Science / természettudomány > QA Mathematics / matematika
Depositing User: Kotegelt Import
Date Deposited: 18 Jan 2024 09:44
Last Modified: 02 Apr 2024 08:13
URI: https://real.mtak.hu/id/eprint/185161

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