First-order periodic coupled systems with orderless lower and upper solutions-Reference-Cited by-同舟云学术

First-order periodic coupled systems with orderless lower and upper solutions

Published:2023 Issue:7 Volume:8 Page:16542-16555
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Minhós Feliz¹²,Perestrelo Sara¹²

Affiliation:

1. Department of Mathematics, School of Sciences and Technology, University of Évora, Rua Romão Ramalho, 59, 7000-671 Évora, Portugal

2. Research Centre in Mathematics and Applications (CIMA), Institute for Advanced Studies and Research (IIFA), University of Évora, Portugal

Abstract

<abstract><p>We present some existence and localization results for periodic solutions of first-order coupled nonlinear systems of two equations, without requiring periodicity for the nonlinearities. The arguments are based on Schauder's fixed point theorem together with not necessarily well-ordered upper and lower solutions. A real-case scenario shows the applicability of our results to some population dynamics models, describing the interaction between a criminal and a non-criminal population with a law enforcement component.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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