带片断常数论证的多物种对数种群模型的周期解和近似周期解

IF 1.9 3区数学 Q1 MATHEMATICS

Qualitative Theory of Dynamical Systems Pub Date : 2024-04-13 DOI:10.1007/s12346-024-01016-w

Xiaoxiao Cui, Yonghui Xia

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引用次数: 0

摘要

结合矩阵的谱半径、广义巴拿赫定点理论和指数收缩的一些性质，我们证明了在适当条件下，具有片常数参数的中性延迟多物种对数种群模型的周期解和近似周期解是存在和唯一的。这些结果推广并改进了对数种群模型的一些文献结果。最后，举例说明了我们的结果。

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Periodic Solution and Almost Periodic Solution of a Multispecies Logarithmic Population Model with Piecewise Constant Argument

Combining the spectral radius of matrix with the generalized Banach fixed point theory and some properties of exponential contraction, we prove periodic solution and almost periodic solution of a neutral delay multispecies logarithmic population model with piecewise constant argument is existent and unique in appropriate conditions. The results have generalized and improved some results of literature on logarithmic population model. Finally, one example is given to illustrate our results.

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来源期刊

Qualitative Theory of Dynamical Systems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

14.30%

发文量

130

期刊介绍： Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.