Understanding unreported cases in the COVID-19 epidemic outbreak in Wuhan, China, and the importance of major public health interventions Z Liu, P Magal, O Seydi, G Webb Biology 9 (3), 50, 2020 | 316 | 2020 |
A COVID-19 epidemic model with latency period Z Liu, P Magal, O Seydi, G Webb Infectious Disease Modelling 5, 323-337, 2020 | 294 | 2020 |
Predicting the cumulative number of cases for the COVID-19 epidemic in China from early data Z Liu, P Magal, O Seydi, G Webb arXiv preprint arXiv:2002.12298, 2020 | 247 | 2020 |
Predicting the number of reported and unreported cases for the COVID-19 epidemics in China, South Korea, Italy, France, Germany and United Kingdom Z Liu, P Magal, G Webb Journal of theoretical biology 509, 110501, 2021 | 128 | 2021 |
Hopf bifurcation for non-densely defined Cauchy problems Z Liu, P Magal, S Ruan Zeitschrift für angewandte Mathematik und Physik 62 (2), 191-222, 2011 | 114 | 2011 |
Stability and bifurcation in a delayed predator–prey system with Beddington–DeAngelis functional response Z Liu, R Yuan Journal of mathematical analysis and applications 296 (2), 521-537, 2004 | 99 | 2004 |
Essential growth rate for bounded linear perturbation of non-densely defined Cauchy problems A Ducrot, Z Liu, P Magal Journal of Mathematical Analysis and applications 341 (1), 501-518, 2008 | 92 | 2008 |
The effects of harvesting and time delay on predator-prey systems with Holling type II functional response J Xia, Z Liu, R Yuan, S Ruan SIAM Journal on Applied Mathematics 70 (4), 1178-1200, 2009 | 65 | 2009 |
A model to predict COVID-19 epidemics with applications to South Korea, Italy, and Spain Z Liu, P Magal, O Seydi, G Webb medRxiv, 2020.04. 07.20056945, 2020 | 58 | 2020 |
Stability and bifurcation in a predator–prey model with age structure and delays Z Liu, N Li Journal of Nonlinear Science 25 (4), 937-957, 2015 | 45 | 2015 |
Normal forms for semilinear equations with non-dense domain with applications to age structured models Z Liu, P Magal, S Ruan Journal of Differential Equations 257 (4), 921-1011, 2014 | 43 | 2014 |
Hopf bifurcation for a predator–prey model with age structure H Tang, Z Liu Applied Mathematical Modelling 40 (2), 726-737, 2016 | 41 | 2016 |
Hopf bifurcation of an age-structured compartmental pest-pathogen model Z Wang, Z Liu Journal of Mathematical Analysis and Applications 385 (2), 1134-1150, 2012 | 38 | 2012 |
Stability and bifurcation in a harvested one-predator–two-prey model with delays Z Liu, R Yuan Chaos, Solitons & Fractals 27 (5), 1395-1407, 2006 | 37 | 2006 |
Projectors on the generalized eigenspaces for functional differential equations using integrated semigroups Z Liu, P Magal, S Ruan Journal of Differential Equations 244 (7), 1784-1809, 2008 | 36 | 2008 |
Hopf bifurcation analysis in a predator-prey model with predator-age structure and predator-prey reaction time delay X Zhang, Z Liu Applied Mathematical Modelling 91, 530-548, 2021 | 34 | 2021 |
Periodic oscillations in age-structured ratio-dependent predator–prey model with Michaelis–Menten type functional response X Zhang, Z Liu Physica D: Nonlinear Phenomena 389, 51-63, 2019 | 29 | 2019 |
Bifurcations in predator–prey systems with nonmonotonic functional response Z Liu, R Yuan Nonlinear Analysis: Real World Applications 6 (1), 187-205, 2005 | 28 | 2005 |
Oscillations in age-structured models of consumer-resource mutualisms Z Liu, P Magal, S Ruan Disc. Cont. Dyna. Systems-B 21, 537-555, 2016 | 26 | 2016 |
Large speed traveling waves for the Rosenzweig–MacArthur predator–prey model with spatial diffusion A Ducrot, Z Liu, P Magal Physica D: Nonlinear Phenomena 415, 132730, 2021 | 24 | 2021 |