2 papers
math.DS2025
Chenciner bifurcation, strong resonances and Arnold tongues of a discrete time SIR epidemic model
Jiangqiong Yu, Jiyu Zhong, Lingling Liu +1
In this paper, we mainly study the dynamic properties of a class of three-dimensional SIR models. Firstly, we use the {\it complete discriminant theory} of polynomials to obtain th…
math.DS2025
Resonance properties and chaotic dynamics of a three-dimensional discrete logistic ecological system within the neighborhoods of bifurcation points
Yujiang Chen, Lin Li, Lingling Liu +1
In this paper, we delve into the dynamical properties of a class of three-dimensional logistic ecological models. By using the complete discriminant theory of polynomials, we first…