具有时滞的食物限制种群模型的传播速度

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-06-23 DOI:10.1007/s11766-023-4232-8

Ge Tian, Ruo-fan An

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引用次数: 0

摘要

本文研究了具有时滞的食物有限种群模型的传播速度问题。首先，证明了柯西问题解的存在性。然后，利用一般的哈纳克不等式研究了初始数据紧支持情况下解的传播速度。最后，我们给出了一些数值模拟并研究了解的动力学行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Spreading speed of a food-limited population model with delay

This paper is concerned with the spreading speed of a food-limited population model with delay. First, the existence of the solution of Cauchy problem is proved. Then, the spreading speed of solutions with compactly supported initial data is investigated by using the general Harnack inequality. Finally, we present some numerical simulations and investigate the dynamical behavior of the solution.

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来源期刊

Applied Mathematics-A Journal of Chinese Universities Series B MATHEMATICS, APPLIED-

自引率

10.00%

发文量

期刊介绍： Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.