中国物理B ›› 2023, Vol. 32 ›› Issue (9): 90203-090203.doi: 10.1088/1674-1056/acac13
Ying Sun(孙颖)1, Jinliang Wang(王进良)1,†, You Li(李由)2, Nan Jiang(江南)1, and Juandi Xia(夏娟迪)1
Ying Sun(孙颖)1, Jinliang Wang(王进良)1,†, You Li(李由)2, Nan Jiang(江南)1, and Juandi Xia(夏娟迪)1
摘要: We investigate the Turing instability and pattern formation mechanism of a plant-wrack model with both self-diffusion and cross-diffusion terms. We first study the effect of self-diffusion on the stability of equilibrium. We then derive the conditions for the occurrence of the Turing patterns induced by cross-diffusion based on self-diffusion stability. Next, we analyze the pattern selection by using the amplitude equation and obtain the exact parameter ranges of different types of patterns, including stripe patterns, hexagonal patterns and mixed states. Finally, numerical simulations confirm the theoretical results.
中图分类号: (Bifurcation theory)