Tradeoffs between water requirements and yield stability in annual vs. perennial crops

G Vico, NA Brunsell - Advances in water resources, 2018 - Elsevier
Population growth and changes in climate and diets will likely further increase the pressure
on agriculture and water resources globally. Currently, staple crops are obtained from …

Broad class of nonlinear Langevin equations driven by multiplicative Ornstein–Uhlenbeck noise: Generalized n-moment and generalized second Einstein relation

KS Fa, S Pianegonda, MGE da Luz - Physica A: Statistical Mechanics and …, 2023 - Elsevier
A wide class of the nonlinear Langevin equations driven by a generic multiplicative Ornstein–
Uhlenbeck noise is investigated, with time–space-dependent drift and diffusion coefficients …

A broad class of nonlinear Langevin equations with drift and diffusion coefficients separable in time and space: generalized n-moment, ergodicity, Einstein relation …

KS Fa, S Pianegonda - Journal of Statistical Mechanics: Theory …, 2024 - iopscience.iop.org
An extensive class of nonlinear Langevin equations with drift and diffusion coefficients
separable in time and space driven by Gaussian white noise is analyzed in terms of a …

Langevin equation with multiplicative white noise: transformation of diffusion processes into the wiener process in different prescriptions

SF Kwok - Annals of Physics, 2012 - Elsevier
A Langevin equation with multiplicative white noise and its corresponding Fokker–Planck
equation are considered in this work. From the Fokker–Planck equation a transformation into …

Data collapse, scaling functions, and analytical solutions of generalized growth models

BCT Cabella, AS Martinez, F Ribeiro - … E—Statistical, Nonlinear, and Soft Matter …, 2011 - APS
We consider a nontrivial one-species population dynamics model with finite and infinite
carrying capacities. Time-dependent intrinsic and extrinsic growth rates are considered in …

Probabilistic description of crop development and irrigation water requirements with stochastic rainfall

G Vico, A Porporato - Water Resources Research, 2013 - Wiley Online Library
Supplemental irrigation represents one of the main strategies to mitigate the effects of
climatic variability on agroecosystems, stabilizing yields and profits. Because of the …

Noise-assisted interactions of tumor and immune cells

T Bose, S Trimper - Physical Review E—Statistical, Nonlinear, and Soft …, 2011 - APS
We consider a three-state model comprising tumor cells, effector cells, and tumor-detecting
cells under the influence of noises. It is demonstrated that inevitable stochastic forces …

Survival induced by short-scale autocorrelations in birth-death-diffusion models with negative growth

AB Melka, N Dori, Y Louzoun - Physical Review E, 2023 - APS
In a birth, death, and diffusion process, the extinction-survival transition occurs when the
average net growth rate is zero. For instance, in the presence of normally distributed time …

Asymmetric space-dependent systems: partial stabilization through the addition of noise and exact solutions for the corresponding nonlinear Langevin equations

KS Fa, CL Ho, YB Matos, MGE da Luz - Physica Scripta, 2023 - iopscience.iop.org
In many instances, the dynamical richness and complexity observed in natural phenomena
can be related to stochastic drives influencing their temporal evolution. For example, random …

Similar solutions for nonlinear Langevin equations with the drift and diffusion coefficients separable in time and space

KS Fa - Journal of Statistical Mechanics: Theory and …, 2020 - iopscience.iop.org
The exact solution is obtained for a class of nonlinear Langevin equations, driven by
Gaussian white noise, with drift and diffusion coefficients separable in time and space. In …