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The Frontiers of Society, Science and Technology, 2020, 2(1); doi: 10.25236/FSST.2020.020117.

Monotone Traveling Waves of a Diffusive Lotka-Volterra Weak Competitive System with Delays


Linhong Yao

Corresponding Author:
Linhong Yao

College of Sciences, North University of China, Taiyuan, Shanxi 030051, China


This paper is concerned with the monotone traveling wave solutions for a diffusive Lotka-Volterra weak competitive system with delays. Using the method of upper-lower solutions, necessary and sufficient conditions are established for the existence and nonexistence of monotone traveling wave solutions connecting the trivial steady state with the coexistence steady state of weak competitive system.


Traveling waves; Monotone; Delays; Weak competition system

Cite This Paper

Linhong Yao. Monotone Traveling Waves of a Diffusive Lotka-Volterra Weak Competitive System with Delays. The Frontiers of Society, Science and Technology (2020) Vol. 2 Issue 1: 122-130. https://doi.org/10.25236/FSST.2020.020117.


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