Results 41 to 50 of about 184,298 (338)

Fuzzy-Stochastic Partial Differential Equations [PDF]

SIAM/ASA Journal on Uncertainty Quantification, 2019
31 ...
openaire   +3 more sources

Hybrid deterministic stochastic systems with microscopic look-ahead dynamics [PDF]

, 2010
We study the impact of stochastic mechanisms on a coupled hybrid system consisting of a general advection-diffusion-reaction partial differential equation and a spatially distributed stochastic lattice noise model.
Katsoulakis, M. A., Majda, A. J., Sopasakis, A.   +2 more
core  

A spectral-based numerical method for Kolmogorov equations in Hilbert spaces

, 2016
We propose a numerical solution for the solution of the Fokker-Planck-Kolmogorov (FPK) equations associated with stochastic partial differential equations in Hilbert spaces.
Delgado-Vences, Francisco J., Flandoli, Franco   +1 more
core   +1 more source

Network topology drives population temporal variability in experimental habitat networks

Population Ecology, EarlyView.
Habitat patches connected by dispersal pathways form habitat networks. We explored how network topology affects population outcomes in laboratory experiments using a model species (Daphnia carinata). Central habitat nodes in complex lattice networks exhibited lower temporal variability in population sizes, suggesting they support more stable ...
Yiwen Xu, J. Angus Webb, William D. Bovill, Elise L. King   +3 more
wiley   +1 more source

Controlled Reflected McKean–Vlasov SDEs and Neumann Problem for Backward SPDEs

Mathematics
This paper is concerned with the stochastic optimal control problem of a 1-dimensional McKean–Vlasov stochastic differential equation (SDE) with reflection, of which the drift coefficient and diffusion coefficient can be both dependent on the state of ...
Li Ma, Fangfang Sun, Xinfang Han
doaj   +1 more source

On a smooth and nowhere equal to zero distribution density of a stochastic differential equation’s solution on manifold

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2021
Background. E. Nelson [1-3] introduced derivatives on the average in the works and over time, they began to be studied as a separate class of stochastic differential equations.
O.O. Zheltikova
doaj   +1 more source

On a class of stochastic partial differential equations

Stochastic Processes and their Applications, 2017
46 ...
openaire   +6 more sources

Dynamics of stochastic nonlocal partial differential equations

The European Physical Journal Plus, 2021
This paper is concerned with the asymptotic behavior of solutions to nonlocal stochastic partial differential equations with multiplicative and additive noise driven by a standard Brownian motion, respectively. First of all, the stochastic nonlocal differential equations are transformed into their associated conjugated random differential equations, we
Jiaohui Xu, Tomás Caraballo
openaire   +3 more sources

Stochastic Maximum Principle for Optimal Control ofPartial Differential Equations Driven by White Noise

, 2017
We prove a stochastic maximum principle ofPontryagin's type for the optimal control of a stochastic partial differential equationdriven by white noise in the case when the set of control actions is convex.
Fuhrman, Marco, Hu, Ying, Tessitore, Gianmario   +2 more
core   +2 more sources

Speciation Through the Lens of Population Dynamics: A Theoretical Primer on How Small and Large Populations Diverge

Population Ecology, EarlyView.
Population size and dynamics fundamentally shape speciation by influencing genetic drift, founder events, and adaptive potential. Small populations may speciate rapidly due to stronger drift, whereas large populations harbor more genetic diversity, which can alter divergence trajectories. We highlight theoretical models that incorporate population size
Ryo Yamaguchi, Hidaka Kubo, Tokuya Ogawa, Hayate Omura   +3 more
wiley   +1 more source