迟滞与脉冲扰动下的猪肉商品动态关系分析

Analysis on the dynamic relationship of pork commodity under hysteresis and impulse disturbance

猪肉的即时供应需要生猪的一个养殖周期才能实现,它是驱使猪肉需求和供应产生动态关系的主要原因.若有其它因素(如猪瘟发生或饲料价格发生重大变化等)发生扰动作用,猪肉的供需关系会更加复杂.根据供应量、需求量和价格之间的内在驱动关系,构建具有迟滞因素与脉冲扰动的2个微分动力学系统.研究了系统平衡点稳定性和存在周期解的充分条件,探索了脉冲扰动作用下猪肉商品的动态变化特征,用数值仿真模拟了猪肉商品的动态变化过程.

The immediate supply of pork requires a breeding cycle of live pigs,it is the main reason that drives the dynamic relationship between pork demand and supply.If other factors(such as the occurrence of swine fever or major changes in feed prices)have disturbing effects,the supply and demand relationship of pork will be more complicated.According to the internal driving relationship among supply,demand and price,two differential dynamic systems with hysteresis factor and impulse disturbance were constructed.The sufficient conditions for the equilibrium′s stability and the existence of periodic solution are studied.The dynamic characteristics of pork products was explored under the pulse disturbance,the dynamic change process of pork commodities was simulated numerically.