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

Acta mathematica scientia,Series A ›› 2026, Vol. 46 ›› Issue (1): 130-142.

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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)

Abstract

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

CLC Number:

O175

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.

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References 14

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

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