| 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 | 168 | 2013 |
| Spatiotemporal complexity of a ratio-dependent predator-prey system W Wang, QX Liu, Z Jin Physical Review E 75 (5), 051913, 2007 | 164 | 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 | 128 | 2014 |
| 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 | 104 | 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 | 96 | 2007 |
| 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 | 80 | 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 | 78 | 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 | 76 | 2014 |
| 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 | 74 | 2017 |
| 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 | 71 | 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 | 64 | 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 | 62 | 2016 |
| 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 | 61 | 2010 |
| 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 | 60 | 2008 |
| 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 | 58 | 2009 |
| 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 | 57 | 2008 |
| 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 | 46 | 2009 |
| Resonance and frequency-locking phenomena in spatially extended phytoplankton–zooplankton system with additive noise and periodic forces QX Liu, Z Jin, BL Li Journal of Statistical Mechanics: Theory and Experiment 2008 (05), P05011, 2008 | 46 | 2008 |
| Pulse vaccination in the periodic infection rate SIR epidemic model Z Jin, M Haque, Q Liu International Journal of Biomathematics 1 (04), 409-432, 2008 | 45 | 2008 |
| Spatial organization and evolution period of the epidemic model using cellular automata QX Liu, Z Jin, MX Liu Physical Review E 74 (3), 031110, 2006 | 45 | 2006 |
Zhen JinComplex Systems Research Center, Shanxi UniversityVerified email at sxu.edu.cn
