Hopf bifurcation analysis of integro-differential equation with unbounded delay (Q627152)

The authors investigate Hopf bifurcation of a kind of integro-differential equation with unbounded delay. By transforming the original system into a three-dimensional system of ordinary differential equations, they obtain a condition for the existence of a Hopf bifurcation. Then, the Adams-Moulton method is applied to solve the integro-differential delay equation. They show that a Hopf bifurcation occurs in the difference equation at the same value of the bifurcation parameter as that of the original system.