| Non-equilibrium early-warning signals for critical transitions in ecological systems L Xu, D Patterson, SA Levin, J Wang Proceedings of the National Academy of Sciences 120 (5), e2218663120, 2023 | 60 | 2023 |
| Unifying deterministic and stochastic ecological dynamics via a landscape-flux approach L Xu, D Patterson, AC Staver, SA Levin, J Wang Proceedings of the National Academy of Sciences 118 (24), e2103779118, 2021 | 27 | 2021 |
| Probabilistic foundations of spatial mean-field models in ecology and applications DD Patterson, SA Levin, C Staver, JD Touboul SIAM journal on applied dynamical systems 19 (4), 2682-2719, 2020 | 22 | 2020 |
| COUP-TFI specifies the medial entorhinal cortex identity and induces differential cell adhesion to determine the integrity of its boundary with neocortex J Feng, WH Hsu, D Patterson, CS Tseng, HW Hsing, ZH Zhuang, ... Science advances 7 (27), eabf6808, 2021 | 18 | 2021 |
| Pattern formation in mesic savannas D Patterson, S Levin, AC Staver, J Touboul Bulletin of mathematical biology 86 (1), 3, 2024 | 10 | 2024 |
| Modeling immunity to malaria with an age-structured PDE framework Z Qu, D Patterson, LM Childs, CJ Edholm, J Ponce, O Prosper, L Zhao SIAM Journal on Applied Mathematics 83 (3), 1098-1125, 2023 | 10 | 2023 |
| Growth rates of sublinear functional and Volterra differential equations JAD Appleby, DD Patterson SIAM Journal on Mathematical Analysis 50 (2), 2086-2110, 2018 | 10 | 2018 |
| On necessary and sufficient conditions for preserving convergence rates to equilibrium in deterministically and stochastically perturbed differential equations with regularly … JAD Appleby, DD Patterson Recent advances in delay differential and difference equations, 1-85, 2014 | 9 | 2014 |
| Spatial dynamics with heterogeneity DD Patterson, AC Staver, SA Levin, JD Touboul SIAM journal on applied mathematics 84 (3), S225-S248, 2023 | 7 | 2023 |
| Large fluctuations and growth rates of linear Volterra summation equations JAD Appleby, DD Patterson Journal of Difference Equations and Applications 23 (6), 1047-1080, 2017 | 7 | 2017 |
| Classification of convergence rates of solutions of perturbed ordinary differential equations with regularly varying nonlinearity JAD Appleby, DD Patterson arXiv preprint arXiv:1303.3345, 2013 | 7 | 2013 |
| Hartman-Wintner growth results for sublinear functional differential equations JAD Appleby, DD Patterson Electronic Journal of Differential Equations 2017 (21), 45, 2017 | 6 | 2017 |
| Subexponential growth rates in functional differential equations JAD Appleby, DD Patterson arXiv preprint arXiv:1409.4201, 2014 | 6 | 2014 |
| Revealing Physical Mechanisms of Spatial Pattern Formation and Switching in Ecosystems via Nonequilibrium Landscape and Flux J Su, W Wu, DD Patterson, SA Levin, J Wang Advanced Science, 2501776, 2025 | 5 | 2025 |
| Memory dependent growth in sublinear Volterra differential equations JAD Appleby, DD Patterson The Journal of Integral Equations and Applications 29 (4), 531-584, 2017 | 5 | 2017 |
| Growth rates of solutions of superlinear ordinary differential equations JAD Appleby, DD Patterson Applied Mathematics Letters 71, 30-37, 2017 | 5 | 2017 |
| Mathematical modeling of malaria vaccination with seasonality and immune feedback Z Qu, D Patterson, L Zhao, J Ponce, CJ Edholm, OF Prosper Feldman, ... PLOS Computational Biology 21 (5), e1012988, 2025 | 4 | 2025 |
| Blow-up and superexponential growth in superlinear Volterra equations JAD Appleby, DD Patterson Discrete & Continuous Dynamical Systems Series A 38 (8), 24, 2018 | 4 | 2018 |
| On the admissibility of unboundedness properties of forced deterministic and stochastic sublinear Volterra summation equations JAD Appleby, DD Patterson Electronic Journal of the Qualitative Theory of Differential Equations, 44, 2016 | 4 | 2016 |
| Growth and fluctuation in perturbed nonlinear Volterra equations JAD Appleby, DD Patterson Applied Mathematics and Computation 396, 125938, 2021 | 2* | 2021 |
Simon LevinProfessor of Ecology and Evolutionary Biology, Princeton UniversityVerified email at princeton.edu
