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The sign of bistable wave speed for a plankton model

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成果类型:
期刊论文
作者:
Wan, Yuting;Li, Jiang;Wang, Hongyong
通讯作者:
Wang, HY
作者机构:
[Wan, Yuting; Wang, HY; Wang, Hongyong] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
[Li, Jiang] Univ South China, Human Resources Dept, Hengyang 421001, Peoples R China.
通讯机构:
[Wang, HY ] U
Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
语种:
英文
关键词:
Propagation direction;plankton allelopathy;bistable wave
期刊:
生物数学学报:英文版
ISSN:
1793-5245
年:
2024
基金类别:
Scientific Research Fund of Hunan Provincial Education Department Grant [23A0342]; Natural Science Foundation of Hunan Province [2021JJ30019]
机构署名:
本校为第一且通讯机构
院系归属:
数理学院
摘要:
The sign of the speed of bistable traveling wave solution is an important focus in the field of population dynamics, since it can be used to predict which species will win the competition and ultimately survive. In this paper, the sign of bistable wave speed of a plankton model with cubic nonlinearity is studied. By a delicate analysis, a sufficient condition for bistable wave to be stationary is first obtained. Symmetric and multiplication properties for stationary bistable wave are established. By upper-lower solution method and comparison principle, two sufficient conditions are found so th...

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