5 papers · 1 filter
Dynamics of epidemic models with asymptomatic infection and seasonal succession
Yilei Tang, Dongmei Xiao, Weinian Zhang +1
In this paper, we consider a compartmental SIRS epidemic model with asymptomatic infection and seasonal succession, which is a periodic discontinuous differential system. The basic…
Global dynamics and unfolding of planar piecewise smooth quadratic quasi-homogeneous differential systems
Yilei Tang
In this paper we research global dynamics and bifurcations of planar piecewise smooth quadratic quasi--homogeneous but non-homogeneous polynomial differential systems. We present s…
Global dynamics of planar quasi-homogeneous differential systems
Yilei Tang, Xiang Zhang
In this paper we provide a new method to study global dynamics of planar quasi--homogeneous differential systems. We first prove that all planar quasi--homogeneous polynomial diffe…
Limit cycles of discontinuous piecewise quadratic and cubic polynomial perturbations of a linear center
Jaume Llibre, Yilei Tang
We apply the averaging theory of high order for computing the limit cycles of discontinuous piecewise quadratic and cubic polynomial perturbations of a linear center. These discont…
Linearizability and critical period bifurcations of a generalized Riccati system
Valery G. Romanovski, Wilker Fernandes, Yilei Tang +1
In this paper we investigate the isochronicity and linearizability problem for a cubic polynomial differential system which can be considered as a generalization of the Riccati sys…