期刊
AIMS MATHEMATICS
卷 7, 期 9, 页码 16261-16277出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2022888
关键词
predator-prey model; traveling wave solution; upper and lower solution; Lyapunov function; LaSalle?s invariance principle
资金
- Fundamental Research Funds for the Central Universities [31920190057, 31920220041]
- Innovation Team of Intelligent Computing and Application of Northwest Minzu University
This paper investigates the traveling wave solutions to a cubic predator-prey diffusion model with stage structure for the prey. Firstly, the existence and non-existence of weak traveling wave solutions are proved using the upper and lower solutions method. Furthermore, it is proven that the weak traveling wave solutions are actually traveling wave solutions under additional conditions by using Lyapunov function method and LaSalle's invariance principle.
In this paper, we investigate the traveling wave solutions to a cubic predator-prey diffusion model with stage structure for the prey. Firstly, using the upper and lower solutions method we prove the existence and non-existence of weak traveling wave solutions. Furthermore, we prove that the weak traveling wave solutions are actually traveling wave solutions under additional conditions by using Lyapunov function method and LaSalle's invariance principle.
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