Stability analysis of supply chain members time delay decisions considering corporate social responsibility

The strategic decisions of the manufacturer and the retailer directly affect the stability of the supply chain system. The delay and incompleteness of the market information greatly increase the complexity and variability of the decision-making process. In order to solve this problem, by using the nonlinear dynamics theory, this paper constructs a discrete dynamic model with a time delay. The sufficient conditions for the existence and the local asymptotic stability are obtained. The delayed threshold provides a helpful judgment basis for the supply chain members' decisions and the system stability. In addition, the manufacturer's quality strategy is divided into the static and dynamic cases. Based on these cases, the influence of corporate social responsibility (CSR) and decision-making adjustment speed on system stability is discussed. The results show that when a dynamic quality strategy is adopted, the increase in CSR preference can effectively restrain the destabilized system and improve the benefits of supply chain members.