Stability and Hopf Bifurcation in a Predator–Prey System with Several Parameters

A predator–prey system, depending on several parameters, which also allows for a satiation effect of the predator, is investigated for stability of equilibria, Hopf bifurcation, global existence of limit cycles, global attrractivity of equilibria, and codimension two bifurcations. Throughout, the main interest is in results yielding explicit dependence on the parameters involved.