【摘要】 对一类具有时滞以及食饵含毒素的植物-食草动物系统进行了研究分析,通过考虑含毒素的植物在被食草动物觅食后对食草动物成长产生的影响以及消耗的植物量转换成新的动物量的时间滞后性,改进了传统的Holling-II型功能性反应,并在此基础上通过耗散性理论得到了系统一致持续生存的充分条件,通过构造适当的Liapunov函数得到非时滞系统正平衡点的全局吸引性。更多还原

【Abstract】 A plant-herbivore model with delay and toxin-determined functional response was discussed.The traditional Holling type 2 response was modified by taking into analysis the negative effect of toxin on herbivore growth and the delay about the conversion of consumed plant biomass into new herbivore biomass.The uniform permanence of the system was proved by using the dissipative theory.The system without consideration of delay was studied tand the global attractivity of the positive equilibrium point was obtained.更多还原