具有迭代项的Nicholson果蝇方程的正概周期解  

Positive almost periodic solutions of the Nicholson’s blowflies equation with iterative term

作　　者：吴佳妮 WU Jiani(School of Mathematics and Statistics,Changsha University of Science&Technology,Changsha 410114,China)

机构地区：[1]长沙理工大学数学与统计学院,湖南长沙410114

出　　处：《湖南文理学院学报(自然科学版)》2025年第2期1-6,共6页Journal of Hunan University of Arts and Science(Science and Technology)

基　　金：国家自然科学基金(11971076)。

摘　　要：通过构建适当的正不变集,结合Banach不动点定理和微分不等式技巧,证明了一类具有多个迭代项的时滞Nicholson果蝇方程模型的正概周期解的存在唯一性,在一定程度上完善和推广了已有文献的相应结果。最后,通过一个具体的数值例子,验证了所得理论结果的正确性与有效性。The existence and uniqueness of positive almost periodic solution for a class of delayed Nicholson’s blowflies equations model with multiple iterative terms is proved by constructing an appropriate positive invariant set and combining the Banach fixed point theorem with differential inequality techniques.To a certain extent,the corresponding results of the existing literature are improved and extended.Finally,the correctness and effectiveness of the obtained theoretical results are verified through one specific numerical simulation example.

关 键 词：Nicholson果蝇模型 迭代项 BANACH不动点定理 正概周期解 

分 类 号：O175.13[理学—数学]