【摘要】 利用Mawhin重合度理论中的延拓定理 ,结合使用分析中的不等式技巧 ,研究一类更切合实际且更一般的应基于比率且具有Machaelis Menten型功能性反应的三种群食物链动力学模型 .获得了系统周期正解全局存在的充分条件 ,其结果推广了某些相关文献的结论更多还原

【Abstract】 We investigate a ratio dependent three species predator prey food chain dynamics model with Machaelies Menten type which is more actual and more popular,by using Mawhin coincidence degree theory and combining with inequality skill.We obtain a new sufficient conditions for the existence of positive periodic solution of the system,Our results extend relevant conclusions in some literature.更多还原