摘要：In this paper, we study complex dynamical behaviour in biological
systems due to multiple limit cycles bifurcation. We use simple epidemic and predator–prey models to show exact routes to new types
of bistability, that is, bistability between equilibrium and periodic
oscillation, and bistability between two oscillations, which may more
realistically describe the real situations. Bifurcation theory and normal form theory are applied to investigate the multiple limit cycles
bifurcating from Hopf critical point.
关键词：Dynamical system ; epidemic model ; predator–prey model ; stability ; Hopf bifurcation ; limit cycle ; normal form
