@article{Minhós2023, 
author = {Feliz Minhós and Sara Perestrelo},
title = {First-order periodic coupled systems with orderless lower and upper solutions},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {7},
pages = {16542-16555},
keywords = {periodic nonlinear coupled systems, upper and lower solutions, periodic solutions, existence and localization result, population dynamics},
url = {https://www.sciopen.com/article/10.3934/math.2023846},
doi = {10.3934/math.2023846},
abstract = {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.}
}