具有双稳非线性的时间周期Lotka-Volterra模型的行波

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-09-20 DOI:10.1007/s11766-022-4139-9

Jia-jun Yue, Man-jun Ma, Chun-hua Ou

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引用次数: 1

摘要

本文研究了扩散性时周期Lotka-Volterra系统的双稳波前。得到了双稳时周期行波存在唯一性和稳定性的一个新条件。这一条件是尖锐的，并且大大改进了文献中建立的结果(包旭，王忠，《微分方程学报》，255(2013)2402-2435)。给出了一个例子来证明我们的结论。

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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Traveling wave for a time-periodic Lotka-Volterra model with bistable nonlinearity

This paper studies bistable wavefronts of a diffusive time-periodic Lotka-Volterra system. We obtain a new condition for the existence, uniqueness and stability of bistable time-periodic traveling waves. This condition is sharp and greatly improves the result established in the reference (X. Bao and Z. Wang, Journal of Differential Equations, 255(2013) 2402–2435). An example is given to demonstrate our consequence.

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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.