Bistable Dynamics and Complete Classifications of A Seasonal Competition Model Between Aedes aegypti and Aedes albopictus
Abstract
The bistable dynamics and a complete classification of global dynamics are established for a competition model between Aedes aegypti and Aedes albopictus subject to favorable-unfavorable seasonal shifts, originally proposed by Zheng et al. (2025). More precisely, by employing Floquet theory, we prove that the unique positive periodic solution must be unstable. Consequently, bistable dynamics naturally emerge, which provides a rigorous theoretical validation of the numerical simulation results reported in the aforementioned work. Building on this, we further derive a full classification of the model's global dynamics. In addition, we carry out a comprehensive analysis of how seasonal switching mechanisms govern the competitive outcomes between these two mosquito species, thereby offering insights into their ecological coexistence and potential displacement.
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BibTeX
@misc{niu2026bistable,
title = {{Bistable Dynamics and Complete Classifications of A Seasonal Competition Model Between Aedes aegypti and Aedes albopictus}},
author = {Lei Niu and Yi Wang and Xizhuang Xie and Bo Zheng},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.29233},
eprint = {2610.29233},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.29233},
}
RIS
TY - UNPB
TI - Bistable Dynamics and Complete Classifications of A Seasonal Competition Model Between Aedes aegypti and Aedes albopictus
AU - Lei Niu
AU - Yi Wang
AU - Xizhuang Xie
AU - Bo Zheng
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.29233
UR - https://arxiv.org/abs/2610.29233
AB - The bistable dynamics and a complete classification of global dynamics are established for a competition model between Aedes aegypti and Aedes albopictus subject to favorable-unfavorable seasonal shifts, originally proposed by Zheng et al. (2025). More precisely, by employing Floquet theory, we prove that the unique positive periodic solution must be unstable. Consequently, bistable dynamics naturally emerge, which provides a rigorous theoretical validation of the numerical simulation results reported in the aforementioned work. Building on this, we further derive a full classification of the model's global dynamics. In addition, we carry out a comprehensive analysis of how seasonal switching mechanisms govern the competitive outcomes between these two mosquito species, thereby offering insights into their ecological coexistence and potential displacement.
ER -