ON STABILITY AND HOPF BIFURCATION OF A MODEL WITH ENVIRONMENTAL POLLUTION
In this paper, we study a model with environmental pollution with a lag in the accumulation of capital. Conditions under which a Hopf bifurcation occurs at the equilibrium are obtained. An explicit algorithm for determining the stability of the bifurcating periodic solutions and the direction of the Hopf bifurcation is derived by using the theory of normal form and center manifold.
pollution, time delay, Hopf bifurcation.
