First, the numerical methods were used to investigate the global bifurcation behaviors of the system depending on certain parameters.

In this paper, the existence of infinite period bifurcation of a nonlinear communicable disease model with temporary immunity (SIRS) is studied, and we give global bifurcation of the system.

Based on the bifurcation analysis and Catastrophe theory methodology (BACTM), the aircraft global dynamic stability in rapid rolling maneuver is studied in this paper.