The equilibrium, complexity analysis and control in epiphytic supply chain with product horizontal diversification

The dynamic of an epiphytic supply chain game model with two players and product horizontal diversification is considered. Equilibrium points of the model and their stable regions are studied, and the occurrence of bifurcation is investigated by parse and simulation methods. A double route to chaos: the increase in output adjustment speeds of main chain enterprise can brake equilibrium and cause Flip fluctuation in main chain market, and can lead to market crash in epiphytic market. The increase in output adjustment speeds of epiphytic enterprise can cause Neimark–Sacker bifurcation, but has no impact on main chain enterprise. For orderly competition and stable profitability from macro-perspective, the government should pay more attention to the output adjustment speed of main chain enterprises. Finally, the nonlinear feedback method is used to control this kind of multi-product supply chain and its economic significance is presented from the standpoint of expectation theory.

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