For the two cases that the demand is influenced by the prices and the price-stocks, considering that vendors allow out of stock during the partial backlogging, under multiple vendors and multiple suppliers, deteriorating item inventory joint decision-making models are researched, and the methods are given to solve the models. The conclusion of comparing the two models shows that the demand depends on the current price-stocks more in line with the actual. There are the optimal ordering cycles and optimal sale price to maximize the interests of the whole supply chain. The whole supply chain profit can not decrease monotonously with the increase of shortage rate.