Yancong Xu

Bifurcation structure of an SIRS epidemic model with nonlinear incidence rate: Discovery of Hopf-isola phenomena

We study the bifurcation structure of a class of SIRS epidemic models with a nonlinear incidence rate of the form k I p S 1 + ω I q , where the exponents p and q are treated as general parameters. By reducing the model to a planar S - I system, we analyze the existence and degene...

GLOBAL BIFURCATION ANALYSIS OF A PREDATOR-PREY SYSTEM WITH HARVESTING AND STOCKING

Predator-prey interactions play a fundamental role in ecological dynamics and are often influenced by external factors such as harvesting and stocking. Understanding how these interventions impact population stability and oscillatory behavior is crucial for effective resource man...