研究了一类状态依赖时滞能源价格模型的动力学行为,通过使用一些新的分析技巧,获得该模型周期解的先验估计,利用重合度理论中的延拓定理,得到该模型正周期解存在的充分性条件,最后以我国近年来无烟煤出厂价格实例验证了该模型实际意义的合理性.
Dynamic behavior for a kind of state-dependent time-delayed energy price model is discussed in this paper. Through the use of some new analysis techniques, the prior estimate of the model's periodic solutions is obtained, and by using the continuation theorem of coincidence degree theory, the sufficient condition of the existence of the model's positive periodic solutions is obtained. Finally, anthracite prices in recent years are taken as the example to verify the reasonableness of the model's practical significance.