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Quan-Xing Liu
Quan-Xing Liu
Professor of Applied Mathematics
Verified email at sjtu.edu.cn - Homepage
Title
Cited by
Cited by
Year
Phase separation explains a new class of self-organized spatial patterns in ecological systems
QX Liu, A Doelman, V Rottschäfer, M de Jager, PMJ Herman, M Rietkerk, ...
Proceedings of the National Academy of Sciences USA 110 (29), 11905-11910, 2013
2042013
Spatiotemporal complexity of a ratio-dependent predator-prey system
W Wang, QX Liu, Z Jin
Physical Review E 75 (5), 051913, 2007
1772007
Pattern formation at multiple spatial scales drives the resilience of mussel bed ecosystems
QX Liu, PMJ Herman, W Mooij, J Huisman, M Scheffer, H Olff, ...
Nature Communications 5, 5234, 2014
1642014
Fish ingest microplastics unintentionally
B Li, W Liang, QX Liu, S Fu, C Ma, Q Chen, L Su, NJ Craig, H Shi
Environmental Science & Technology 55 (15), 10471-10479, 2021
1372021
Spatial Self-Organization on Intertidal Mudflats through Biophysical Stress Divergence
EJ Weerman, J van de Koppel, MB Eppinga, F Montserrat, QX Liu, ...
The American Naturalist 176 (1), E15-E32, 2010
1212010
Pattern formation in a spatial S–I model with non-linear incidence rates
G Sun, Z Jin, QX Liu, L Li
Journal of Statistical Mechanics: Theory and Experiment 2007 (11), P11011, 2007
1052007
Spatiotemporal dynamics of the diffusive Mussel-Algae model near Turing-Hopf bifurcation
Y Song, H Jiang, QX Liu, Y Yuan
SIAM Journal on Applied Dynamical Systems 16 (4), 2030-2062, 2017
992017
Analysis of a delayed SIR model with nonlinear incidence rate
JZ Zhang, Z Jin, QX Liu, ZY Zhang
Discrete Dynamics in Nature and Society 2008, 2009
942009
Alternative mechanisms alter the emergent properties of self-organization in mussel beds
QX Liu, EJ Weerman, PMJ Herman, H Olff, J van de Koppel
Proceedings of the Royal Society B: Biological Sciences 279 (1739), 2744-2753, 2012
872012
Influence of time delay and nonlinear diffusion on herbivore outbreak
GQ Sun, A Chakraborty, QX Liu, Z Jin, KE Anderson, BL Li
Communications in Nonlinear Science and Numerical Simulation 19 (5), 1507-1518, 2014
822014
Dynamical complexity of a spatial predator–prey model with migration
GQ Sun, Z Jin, QX Liu, L Li
ecological modelling 219 (1), 248-255, 2008
802008
Nonlinear dynamic and pattern bifurcations in a model for spatial patterns in young mussel beds
RH Wang, QX Liu, GQ Sun, Z Jin, J van de Koppel
Journal of the Royal Society Interface 6 (37), 705-718, 2009
722009
The role of noise in a predator–prey model with Allee effect
GQ Sun, Z Jin, L Li, QX Liu
Journal of biological physics 35 (2), 185-196, 2009
702009
Phase separation driven by density-dependent movement: a novel mechanism for ecological patterns
QX Liu, M Rietkerk, PMJ Herman, T Piersma, JM Fryxell, J van de Koppel
Physics of life reviews 19, 107-121, 2016
682016
Pattern formation induced by cross-diffusion in a predator–prey system
S Gui-Quan, J Zhen, L Quan-Xing, L Li
Chinese Physics B 17 (11), 3936, 2008
682008
Chaos induced by breakup of waves in a spatial epidemic model with nonlinear incidence rate
GQ Sun, Z Jin, QX Liu, L Li
Journal of Statistical Mechanics: Theory and Experiment 2008 (08), P08011, 2008
682008
Influence of infection rate and migration on extinction of disease in spatial epidemics
GQ Sun, QX Liu, Z Jin, A Chakraborty, BL Li
Journal of Theoretical Biology 264 (1), 95-103, 2010
652010
Spatial pattern in an epidemic system with cross-diffusion of the susceptible
GQ Sun, Z Jin, QX Liu, L Li
Journal of Biological Systems 17 (01), 141-152, 2009
572009
An invasive species erodes the performance of coastal wetland protected areas
J Ren, J Chen, C Xu, J van de Koppel, MS Thomsen, S Qiu, F Cheng, ...
Science advances 7 (42), eabi8943, 2021
552021
Circular swimming motility and disordered hyperuniform state in an algae system
M Huang, W Hu, S Yang, QX Liu, HP Zhang
Proceedings of the National Academy of Sciences 118, e2100493118, 2021
542021
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Articles 1–20