@article{Zhu2026, 
author = {Qing Zhu and Yu Li and Huaqin Peng},
title = {Periodic dynamics of a switching model with multiple stable states and linear harvest},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {5},
pages = {2926-2946},
keywords = {periodic solutions, switching dynamical systems, Holling type-Ⅲ functional response, global asymptotic stability},
url = {https://www.sciopen.com/article/10.3934/era.2026133},
doi = {10.3934/era.2026133},
abstract = {Fishing moratoriums are vital for fishery management, restoring fish stocks, safeguarding ecosystems, and ensuring sustainable development. In this study, we explored and studied a canonical model with a Holling type-Ⅲ functional response consisting of two sub-equations switching each other. If the length of the closed season              T      ¯        ≤      T          ∗      , the trivial steady state is globally asymptotically stable. For              T      ¯        >      T          ∗      , we provided a complete analysis of the existence of a unique periodic solution and three exact periodic solutions. We also provided sufficient conditions for the existence of a globally asymptotically stable periodic solution. Finally, numerical examples were provided to illustrate the theoretical results.}
}