@article{Shu2025, 
author = {Axiu Shu and Xiaoliang Li and Bo Du and Tao Wang},
title = {Positive periodic stability for a neutral-type host-macroparasite equation},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {3},
pages = {7449-7462},
keywords = {positive periodic solution, existence, global exponential stability, topological degree theory},
url = {https://www.sciopen.com/article/10.3934/math.2025342},
doi = {10.3934/math.2025342},
abstract = {In this work, we study positive periodic solutions of a neutral-type host-macroparasite equation and establish the existence results of positive periodic solutions by using topological degree theory. Furthermore, based on the Lyapunov functional method and differential inequality analysis strategies, the dynamic behaviors of the host-macroparasite model are obtained. Finally, we present a numerical example to verify the effectiveness of the obtained results. It should be pointed out that the properties of neutral operators have significant applications in the proof. Our results have extended existing findings for host-macroparasite equation.}
}