【摘要】 利用重合度理论中的延拓定理,研究了具有生物控制和比率型功能性反应的食物链系统周期解存在性问题,得到了捕食者—食饵系统保证周期解存在的充分条件。所得结果与实际情况相符,对进一步研究一类具生物控制和比率依赖的食物链系统有重要意义。更多还原

【Abstract】 Extension theorem of coincidence degree theory was applied to study the existence of periodic solution for food chain system with bio-controls and ratio-dependent functional response. A set of sufficient conditions for ensuring the existence of a periodic solution was derived. It is proved that the obtained result is consistent with the actual situation.更多还原