Stochastic dynamics on slow manifolds

Demographic noise can lead to the spontaneous formation of species

(2012) T. Rogers et al.   EPL

Slow manifold and averaging for slow–fast stochastic differential system

(2012) W. Wang et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Features of Fast Living: On the Weak Selection for Longevity in Degenerate Birth-Death Processes

(2012) Yen Ting Lin et al.   JOURNAL OF STATISTICAL PHYSICS

Spontaneous genetic clustering in populations of competing organisms

(2012) Tim Rogers et al.   PHYSICAL BIOLOGY

Rigorous elimination of fast stochastic variables from the linear noise approximation using projection operators

(2012) Philipp Thomas et al.   PHYSICAL REVIEW E

Stochastic amplification in an epidemic model with seasonal forcing

(2010) Andrew J. Black et al.   JOURNAL OF THEORETICAL BIOLOGY

Stochastic effects in a seasonally forced epidemic model

(2010) G. Rozhnova et al.   PHYSICAL REVIEW E

Model reduction of multi-scale chemical Langevin equations

(2010) Marie-Nathalie Contou-Carrere et al.   SYSTEMS & CONTROL LETTERS

Accurate noise projection for reduced stochastic epidemic models

(2009) Eric Forgoston et al.   CHAOS

Limit cycles, complex Floquet multipliers, and intrinsic noise

(2009) Richard P. Boland et al.   PHYSICAL REVIEW E

Elimination of fast variables in chemical Langevin equations

(2008) Yueheng Lan et al.   JOURNAL OF CHEMICAL PHYSICS

Normal form transforms separate slow and fast modes in stochastic dynamical systems

(2007) A.J. Roberts   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Additive noise-induced Turing transitions in spatial systems with application to neural fields and the Swift–Hohenberg equation

(2007) Axel Hutt et al.   PHYSICA D-NONLINEAR PHENOMENA