Ma Manjun, Zhang Qiming, Yue Jiajun, Ou Chunhua
Department of Mathematics, School of Science, Zhejiang Sci-Tech University, Hangzhou, People's Republic of China.
Department of Mathematics and Statistics, Memorial University of Newfoundland, Newfoundland, Canada.
J Biol Dyn. 2020 Dec;14(1):608-620. doi: 10.1080/17513758.2020.1795284.
This work deals with the speed sign of travelling waves to the Lotka-Volterra model with diffusion and bistable nonlinearity. We obtain new conditions for the determinacy of the sign of the bistable wave speed by constructing upper or lower solutions with an inside parameter to be adjusted. The established conditions improve or supplement the results in the references and give insight into the combined effect of system parameters on the propagation direction of the bistable wave.
本文研究了具有扩散和双稳非线性的Lotka-Volterra模型行波的速度符号。通过构造带有待调整内部参数的上解或下解，我们得到了双稳波速符号确定性的新条件。所建立的条件改进或补充了参考文献中的结果，并深入了解了系统参数对双稳波传播方向的综合影响。
