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 | 229 | 2013 |
Spatiotemporal complexity of a ratio-dependent predator-prey system W Wang, QX Liu, Z Jin Physical Review E 75 (5), 051913, 2007 | 207 | 2007 |
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 | 175 | 2014 |
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 | 173 | 2021 |
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 | 125 | 2010 |
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 | 110 | 2007 |
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 | 100 | 2017 |
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 | 95 | 2009 |
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 | 90 | 2012 |
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 | 84 | 2014 |
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 | 81 | 2008 |
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 | 73 | 2009 |
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 | 72 | 2016 |
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 | 71 | 2009 |
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 | 67 | 2008 |
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 | 67 | 2008 |
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 | 65 | 2010 |
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 | 64 | 2021 |
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 | 63 | 2021 |
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 | 61 | 2009 |