具有季节更替的非局部 Lotka-Volterra 竞争系统的行波解及传播速度

数学物理学报 ›› 2026, Vol. 46 ›› Issue (1): 130-142.

具有季节更替的非局部 Lotka-Volterra 竞争系统的行波解及传播速度

盛珺, 赵海琴^*()

西安电子科技大学数学与统计学院西安 710071

收稿日期:2025-01-14 修回日期:2025-07-19 出版日期:2026-02-26 发布日期:2026-01-19
通讯作者: 赵海琴 E-mail:876821092@qq.com
基金资助:
陕西省自然科学基金(2024JC-YBMS-025);陕西省科技创新团队项目(2024RS-CXTD-88);中央高校基本科研业务费(QTZX23034)

Traveling Wave Solutions and Spreading Speed for a Nonlocal Lotka-Volterra Competition System with Seasonal Succession

Jun Sheng, Haiqin Zhao^*()

College of mathematics and statistics, Xidian University, Xi'an 710071

Received:2025-01-14 Revised:2025-07-19 Online:2026-02-26 Published:2026-01-19
Contact: Haiqin Zhao E-mail:876821092@qq.com
Supported by:
Natural Science Basic Research Program of Shaanxi(2024JC-YBMS-025);Innovation Capability Support Program of Shaanxi(2024RS-CXTD-88);Fundamental Research Funds for the Central Universities(QTZX23034)

摘要/Abstract

摘要：

该文章研究了具有季节更替的非局部 Lotka-Volterra 竞争模型. 在强弱竞争情形下, 利用单调半流理论证明了该系统连接两个半正平衡点的单稳行波解的存在性. 同时得到了向右的渐近传播速度, 并且右向行波的最小波速与向右的渐近传播速度是一致的.

关键词: 季节更替, Lotka-Volterra 竞争系统, 非局部扩散, 行波解, 传播速度

Abstract:

This paper investigates a nonlocal Lotka-Volterra competition model with seasonal succession. The existence of a monostable traveling waves connecting two semi-trivial equilibria is proven by using the theory of monotone semiflows. Meanwhile, we obtain the rightward spreading speed, we establish the existence of the minimal wave speed for rightward traveling waves and its coincidence with the rightward spreading speed.

Key words: seasonal succession, Lotka-Volterra competitive system, nonlocal diffusion, traveling wave solutions, spreading speed

中图分类号:

O175

盛珺, 赵海琴. 具有季节更替的非局部 Lotka-Volterra 竞争系统的行波解及传播速度[J]. 数学物理学报, 2026, 46(1): 130-142.

Jun Sheng, Haiqin Zhao. Traveling Wave Solutions and Spreading Speed for a Nonlocal Lotka-Volterra Competition System with Seasonal Succession[J]. Acta mathematica scientia,Series A, 2026, 46(1): 130-142.

参考文献 14

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