I. Darti
In this article we deal with the Hutchinson's equation with distributed delay dx(t)dt=rx(t)(1-a1x(t)-a2(t-τ)-a3 ∫ -∞tf(t-s)x(s) ds where r,τ,a1,a2,a3 are positive constants and f is the delay kernel function. By analyzing the associated characteristic equation, the local stability of positive equilibrium and Hopf bifurcation are investigated. The bifurcation here is controlled by the time delay. Some numerical simulations are performed to verify and illustrate the analytical findings. © 2014 AIP Publishing LLC.
Department of Mathematics Faculty of Sciences, Brawijaya University, Jl. Veteran Malang 65145, Indonesia
