4 papers
Bistable Dynamics and Complete Classifications of A Seasonal Competition Model Between Aedes aegypti and Aedes albopictus
Lei Niu, Yi Wang, Xizhuang Xie +1
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-unfav…
Global dynamics of three-dimensional Lotka-Volterra competition models with seasonal succession: II. Uniqueness of positive fixed points
Lei Niu, Yi Wang, Xizhuang Xie
In this second part of the series, we investigate the uniqueness of positive fixed points of the Poincare map associated with the 3-dimensional Lotka-Volterra competition model wit…
Classification of permanence and impermanence for a Lotka-Volterra model of three competing species with seasonal succession
Lei Niu, Xizhuang Xie
In this paper, we are concerned with the permanence of a Lotka-Volterra model of three competing species with seasonal succession. Based on the existence of a carrying simplex, tha…
Global dynamics of three-dimensional Lotka-Volterra competition models with seasonal succession: I. Classification of dynamics
Lei Niu, Yi Wang, Xizhuang Xie
The current series of two papers focus on a 3-dimensional Lotka-Volterra competition model of differential equations with seasonal succession, which exhibits that populations exper…