activity
20122014
most citedAn iterative action minimizing method for computing optimal paths in stochastic dynamical systems

48 citations · 104 across the 6 of their papers we have counts for

collaborators

6 papers

q-bio.PE2014★ 22 cited

Rare Event Extinction on Stochastic Networks

Brandon S. Lindley, Leah B. Shaw, Ira B. Schwartz

We consider the problem of extinction processes on random networks with a given structure. For sufficiently large well-mixed populations, the process of extinction of one or more s…

nlin.AO2013★ 23 cited

Intervention-Based Stochastic Disease Eradication

Lora Billings, Luis Mier-y-Teran-Romero, Brandon Lindley +1

Disease control is of paramount importance in public health with infectious disease extinction as the ultimate goal. Although diseases may go extinct due to random loss of effectiv…

math.DS2012★ 48 cited

An iterative action minimizing method for computing optimal paths in stochastic dynamical systems

Brandon S. Lindley, Ira B. Schwartz

We present a numerical method for computing optimal transition pathways and transition rates in systems of stochastic differential equations (SDEs). In particular, we compute the m…

nlin.PS2012

Noise Induced Pattern Switching in Randomly Distributed Delayed Swarm Patterns

Brandon Lindley, Luis Mier-y-Teran-Romero, Ira B. Schwartz

We study the effects of noise on the dynamics of a system of coupled self-propelling particles in the case where the coupling is time-delayed, and the delays are discrete and rando…

nlin.PS2012★ 11 cited

Statistical multi-moment bifurcations in random delay coupled swarms

Luis Mier-y-Teran-Romero, Brandon Lindley, Ira B. Schwartz

We study the effects of discrete, randomly distributed time delays on the dynamics of a coupled system of self-propelling particles. Bifurcation analysis on a mean field approximat…

nlin.PS2012

Randomly Distributed Delayed Communication and Coherent Swarm Patterns

Brandon Lindley, Luis Mier-y-Teran-Romero, Ira B. Schwartz

Previously we showed how delay communication between globally coupled self-propelled agents causes new spatio-temporal patterns to arise when the delay coupling is fixed among all…