Denis D. Patterson

发表

Growth and fluctuation in perturbed nonlinear Volterra equations

John A. D. Appleby, Denis D. Patterson, 2021, Appl. Math. Comput..

Probabilistic Foundations of Spatial Mean-Field Models in Ecology and Applications

Jonathan Touboul, Simon A. Levin, Denis D. Patterson, 2019, SIAM J. Appl. Dyn. Syst..

Growth rates of solutions of superlinear ordinary differential equations

John A. D. Appleby, Denis D. Patterson, J. Appleby, 2017, Appl. Math. Lett..

Growth Rates of Sublinear Functional and Volterra Differential Equations

John A. D. Appleby, Denis D. Patterson, J. Appleby, 2016, SIAM J. Math. Anal..

On the admissibility of unboundedness properties of forced deterministic and stochastic sublinear Volterra summation equations

Denis D. Patterson, J. Appleby, 2016, 1607.00419.

Large fluctuations and growth rates of linear Volterra summation equations

Denis D. Patterson, J. Appleby, 2016, 1610.02835.

On Necessary and Sufficient Conditions for Preserving Convergence Rates to Equilibrium in Deterministically and Stochastically Perturbed Differential Equations with Regularly Varying Nonlinearity

Denis D. Patterson, J. Appleby, 2014, 1409.1024.

Unifying deterministic and stochastic ecological dynamics via a landscape-flux approach

Denis D. Patterson, Jin Wang, Li Xu, 2021, Proceedings of the National Academy of Sciences.

Blow-up and superexponential growth in superlinear Volterra equations

Denis D. Patterson, J. Appleby, 2017, 1710.07583.

Modeling Immunity to Malaria with an Age-Structured PDE Framework

Denis D. Patterson, L. Childs, O. Prosper, 2021, SIAM J. Appl. Math..

Probabilistic Foundations of the Staver-Levin Model

Denis D. Patterson, J. Touboul, S. Levin, 2019 .

COUP-TFI specifies the medial entorhinal cortex identity and induces differential cell adhesion to determine the integrity of its boundary with neocortex

Denis D. Patterson, J. Touboul, J. Rubenstein, 2021, Science Advances.

Non-equilibrium early-warning signals for critical transitions in ecological systems

Denis D. Patterson, Li Xu, S. Levin, 2023, Proceedings of the National Academy of Sciences of the United States of America.

Hartman-Wintner growth results for sublinear functional differential equations

Denis D. Patterson, J. Appleby, 2016, 1612.00512.

Classification of convergence rates of solutions of perturbed ordinary differential equations with regularly varying nonlinearity

Denis D. Patterson, J. Appleby, 2013, 1303.3345.

Memory dependent growth in sublinear Volterra differential equations

Denis D. Patterson, J. Appleby, 2016, 1604.00945.

Spatial Dynamics with Heterogeneity

Denis D. Patterson, J. Touboul, S. Levin, 2023, SIAM Journal on Applied Mathematics.

Pattern Formation in Mesic Savannas

Denis D. Patterson, J. Touboul, S. Levin, 2023, Bulletin of Mathematical Biology.