Turing pattern selection for a plant-wrack model with cross-diffusion  

作　　者：孙颖 王进良 李由 江南 夏娟迪 Ying Sun;Jinliang Wang;You Li;Nan Jiang;Juandi Xia(LMIB and School of Mathematics and Science,Beihang University,Beijing 100191,China;College of Science,Beijing Forestry University,Beijing 100083,China)

机构地区：[1]LMIB and School of Mathematics and Science,Beihang University,Beijing 100191,China [2]College of Science,Beijing Forestry University,Beijing 100083,China

出　　处：《Chinese Physics B》2023年第9期128-136,共9页中国物理B（英文版）

基　　金：the National Natural Science Foundation of China(Grant Nos.10971009,11771033,and12201046);Fundamental Research Funds for the Central Universities(Grant No.BLX201925);China Postdoctoral Science Foundation(Grant No.2020M670175)。

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.

关 键 词：plant-wrack model CROSS-DIFFUSION Turing instability pattern selection amplitude equation 

分 类 号：N93[自然科学总论] Q141[生物学—生态学]