The Minimal Wave Speed of a Lotka-Volterra Competition Model

ZHANG Yafei; ZHOU Yinbo

doi:10.21656/1000-0887.410279

Volume 42 Issue 6

Jun. 2021

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ZHANG Yafei, ZHOU Yinbo. The Minimal Wave Speed of a Lotka-Volterra Competition Model[J]. Applied Mathematics and Mechanics, 2021, 42(6): 575-585. doi: 10.21656/1000-0887.410279

Citation:

ZHANG Yafei, ZHOU Yinbo. The Minimal Wave Speed of a Lotka-Volterra Competition Model[J]. Applied Mathematics and Mechanics, 2021, 42(6): 575-585. doi: 10.21656/1000-0887.410279

Citation:

ZHANG Yafei, ZHOU Yinbo. The Minimal Wave Speed of a Lotka-Volterra Competition Model[J]. Applied Mathematics and Mechanics, 2021, 42(6): 575-585. doi: 10.21656/1000-0887.410279

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The Minimal Wave Speed of a Lotka-Volterra Competition Model

doi: 10.21656/1000-0887.410279

ZHANG Yafei^,,
ZHOU Yinbo

School of Mathematics and Statistics, Xidian University, Xi’an 710071, P.R.China

Funds:

The National Natural Science Foundation of China(11671315)

Received Date: 2020-09-16

Abstract

Abstract

The minimal wave speed selection for the traveling waves of a 3-species competition system with monostable nonlinearity was considered. First, a comparison method was used to establish minimal-speed selection mechanisms through construction of subtle upper and lower solutions. Then, the speed selection about the threshold values of competition coefficients and the estimations were obtained. Finally, some numerical simulations were performed to show that the obtained results extend those in the previous literatures.
- Lotka-Volterra competition system,
- minimal wave speed,
- speed selection,
- traveling wave solution

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References(17)

References

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