Bifurcation analysis of a transportation network for energy with distributed delayed carrying capacity

Recently, [10] have developed a mathematical model of an economy viewed as a transport network for energy. Based on [24], [5] have adapted their ideas and proposed a generalization by introducing a logistic-type equation for population with delayed carrying capacity. This study examines the consequences of replacing time delays with distributed time delays in their model. The local asymptotic stability of the equilibrium point is studied by analyzing the corresponding characteristic equation. It is found that the destructive impact of the agents on the carrying capacity leads the system dynamic behavior to exhibit stability switches and Hopf bifurcations to occur.