53 citations · 60 across the 9 of their papers we have counts for
9 papers
Nilpotent center conditions in cubic switching polynomial Liénard systems by higher-order analysis
Ting Chen, Feng Li, Pei Yu
The aim of this paper is to investigate two classical problems related to nilpotent center conditions and bifurcation of limit cycles in switching polynomial systems. Due to the di…
An efficient solution procedure for solving higher-codimension Hopf and Bogdanov-Takens bifurcations
Bing Zeng, Pei Yu, Maoan Han
In solving real world systems for higher-codimension bifurcation problems, one often faces the difficulty in computing the normal form or the focus values associated with generaliz…
Visualization of Four Limit Cycles in Near-Integrable Quadratic Polynomial Systems
Pei Yu, Yanni Zeng
It has been known for almost years that general planar quadratic polynomial systems can have four limit cycles. Recently, four limit cycles were also found in near-integrable…
Bifurcation of small limit cycles in cubic integrable systems using higher-order analysis
Yun Tian, Pei Yu
In this paper, we present a method of higher-order analysis on bifurcation of small limit cycles around an elementary center of integrable systems under perturbations. This method…
Backward bifurcation underlies rich dynamics in simple disease models
Wenjing Zhang, Pei Yu, Lindi M. Wahl
In this paper, dynamical systems theory and bifurcation theory are applied to investi- gate the rich dynamical behaviours observed in three simple disease models. The 2- and 3-dime…
Impact of delay on HIV-1 dynamics of fighting a virus with another virus
Yun Tian, Yu Bai, Pei Yu
In this paper, we propose a mathematical model for HIV-1 infection with intracellular delay. The model examines a viral-therapy for controlling infections through recombining HIV-1…