Further Investigations on the Dynamics and Multistability Coexisted in a Memory-Based Cobweb Model

Based on a nonlinear demand function and market-clearing price, cobweb model is introduced in this paper. A gradient mechanism that depends the marginal profit adopted to form 1D discrete dynamic map. Analytical studies show map possesses four fixed points only one attains maximization. The stability/instability conditions for point are calculated numerically studied. numerical provide some insights about confirm can be destabilized due period-doubling bifurcation. second part of paper discusses memory factor stabilization map’s equilibrium point. past two time steps incorporate model. Hence, 2D constructed. Through theoretical investigations, we becomes unstable types bifurcations Neimark–Sacker flip bifurcations. Furthermore, influence speed adjustment parameter analyzed via experiments.