ZHAO L X, ZHANG K, SITEUR K, et al. Fairy Circles Reveal the Resilience of Self-Organized Salt Marshes[J]. Science Advances, 2021, 7(6): eabe1100. doi: 10.1126/sciadv.abe1100
马知恩, 周义仓, 李承治. 常微分方程定性与稳定性方法[M]. 2版. 北京: 科学出版社, 2015: 46-57.
RAO F. Spatiotemporal Dynamics in a Reaction-Diffusion Toxic-Phytoplankton-Zooplankton Model[J]. Journal of Statistical Mechanics: Theory and Experiment, 2013, 2013(8): P08014. doi: 10.1088/1742-5468/2013/08/P08014
DUBEY B, KUMARI N, UPADHYAY R K. Spatiotemporal Pattern Formation in a Diffusive Predator-Prey System: an Analytical Approach[J]. Journal of Applied Mathematics and Computing, 2009, 31(1): 413-432.
HSU S B. A Survey of Constructing Lyapunov Functions for Mathematical Models in Population Biology[J]. Taiwanese Journal of Mathematics, 2005, 9(2): 151-173.
PENG R, LIU S Q. Global Stability of the Steady States of an SIS Epidemic Reaction-Diffusion Model[J]. Nonlinear Analysis: Theory, Methods & Applications, 2009, 71(1-2): 239-247.
PARDO O. Global Stability for a phytoplankton-Nutrient System[J]. Journal of Biological Systems, 2000, 8(2): 195-209. doi: 10.1142/S0218339000000122
SHAN C H, HUANG Q H. Direct and Indirect Effects of Toxins on Competition Dynamics of Species in an Aquatic Environment[J]. Journal of Mathematical Biology, 2019, 78(3): 739-766. doi: 10.1007/s00285-018-1290-2
CHEN L J, CHEN F D, CHEN L J. Qualitative Analysis of a Predator-Prey Model with Holling Type Ⅱ Functional Response Incorporating a Constant Prey Refuge[J]. Nonlinear Analysis: Real World Applications, 2010, 11(1): 246-252. doi: 10.1016/j.nonrwa.2008.10.056
SHI J P, XIE Z F, LITTLE K. Cross-Diffusion Induced Instability and Stability in Reaction-Diffusion Systems[J]. Journal of Applied Analysis and Computation, 2010, 24(3): 95-119.
NI W M, TANG M X. Turing Patterns in the Lengyel-Epstein System for the CIMA Reaction[J]. Transactions of the American Mathematical Society, 2005, 357(10): 3953-3969. doi: 10.1090/S0002-9947-05-04010-9
BIE Q Y, PENG R. Qualitative Analysis on a Reaction-Diffusion Prey-Predator Model and the Corresponding Steady-States[J]. Chinese Annals of Mathematics, Series B, 2009, 30(2): 207-220. doi: 10.1007/s11401-007-0027-0
LOU Y, NI W M. Diffusion, Self-Diffusion and Cross-Diffusion[J]. Journal of Differential Equations, 1996, 131(1): 79-131. doi: 10.1006/jdeq.1996.0157
DU Y H, HSU S B. A Diffusive Predator-Prey Model in Heterogeneous Environment[J]. Journal of Differential Equations, 2004, 203(2): 331-364. doi: 10.1016/j.jde.2004.05.010
叶其孝, 李正元, 王明新. 反应扩散方程引论[M]. 2版. 北京: 科学出版社, 2011: 30-76.