Stochastic population dynamics in turbulent fields
نویسندگان
چکیده
The behavior of interacting populations typically displays irregular temporal and spatial patterns that are difficult to reconcile with an underlying deterministic dynamics. A classical example is the heterogeneous distribution of plankton communities, which has been observed to be patchy over a wide range of spatial and temporal scales. Here, we use plankton communities as prototype systems to present theoretical approaches for the analysis of the combined effects of turbulent advection and stochastic growth in the spatiotemporal dynamics of the population. Incorporation of these two factors into mathematical models brings an extra level of realism to the description and leads to better agreement with experimental data than that of previously proposed models based on reaction-diffusion equations.
منابع مشابه
Stochastic functional population dynamics with jumps
In this paper we use a class of stochastic functional Kolmogorov-type model with jumps to describe the evolutions of population dynamics. By constructing a special Lyapunov function, we show that the stochastic functional differential equation associated with our model admits a unique global solution in the positive orthant, and, by the exponential martingale inequality with jumps, we dis...
متن کاملStochastic modelling of a wind turbine’s power output with special respect to turbulent dynamics
A frequent challenge for wind energy applications is to grasp the impacts of turbulent wind fields properly. The wind turbine power performance curve, usually determined applying the IEC standard 61400-12, provides a functional relation between the measured wind speed u and the corresponding power output P of the turbine. But it is not sufficient to describe the actual dynamics of the power out...
متن کاملA Thickened Stochastic Fields Approach for Turbulent Combustion Simulation
The Stochastic Fields approach is an effective way to implement transported Probability Density Function modelling into Large Eddy Simulation of turbulent combustion. In premixed turbulent combustion however, thin flame-like structures arise in the solution of the Stochastic Fields equations that require grid spacing much finer than the filter scale used for the Large Eddys Simulation. The conv...
متن کاملResolution Requirements in Stochastic Field Simulation of Turbulent Premixed Flames
The spatial resolution requirements of the Stochastic Fields probability density function approach are investigated in the context of turbulent premixed combustion simulation. The Stochastic Fields approach is an attractive way to implement transported Probability Density Function modelling into Large Eddy Simulations of turbulent combustion. In premixed combustion LES, the numerical grid shoul...
متن کاملDynamic Stochastic Superresolution of sparsely observed turbulent systems
Real-time capture of the relevant features of the unresolved turbulent dynamics of complex natural systems from sparse noisy observations and imperfect models is a notoriously difficult problem. The resulting lack of resolution and statistical accuracy in estimating the important turbulent processes which intermittently send significant energy to the large-scale fluctuations hinders efficient p...
متن کامل