Bistable Dynamics and Complete Classifications of A Seasonal Competition Model Between Aedes aegypti and Aedes albopictus

Lei Niu; Yi Wang; Xizhuang Xie; Bo Zheng

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arXiv · 2610.29233

Bistable Dynamics and Complete Classifications of A Seasonal Competition Model Between Aedes aegypti and Aedes albopictus

Lei Niu·Yi Wang·Xizhuang Xie·Bo Zheng

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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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Lei Niu, Yi Wang, Xizhuang Xie, Bo Zheng. 2026-10-21. Bistable Dynamics and Complete Classifications of A Seasonal Competition Model Between Aedes aegypti and Aedes albopictus. https://arxiv.org/abs/2610.29233

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