47 citations · 142 across the 6 of their papers we have counts for
7 papers
Demographic stochasticity and extinction in populations with Allee effect
Vicenç Méndez, Michael Assaf, Axel Masó-Puigdellosas +2
We study simple stochastic scenarios, based on birth-and-death Markovian processes, that describe populations with Allee effect, to account for the role of demographic stochasticit…
Stochastic foundations in nonlinear density-regulation growth
Vicenc Mendez, Michael Assaf, Werner Horsthemke +1
In this work we construct individual-based models that give rise to the generalized logistic model at the mean-field deterministic level and that allow us to interpret the paramete…
Langevin dynamics for ramified structures
Vicenç Méndez, Alexander Iomin, Werner Horsthemke +1
We propose a generalized Langevin formalism to describe transport in combs and similar ramified structures. Our approach consists of a Langevin equation without drift for the motio…
Mesoscopic description of random walks on combs
Vicenc Mendez, Alexander Iomin, Daniel Campos +1
Combs are a simple caricature of various types of natural branched structures, which belong to the category of loopless graphs and consist of a backbone and branches. We study cont…
Stochastic dynamics and logistic population growth
Vicenç Méndez, Michael Assaf, Daniel Campos +1
The Verhulst model is probably the best known macroscopic rate equation in population ecology. It depends on two parameters, the intrinsic growth rate and the carrying capacity. Th…
Steady-State Lévy Flights in a Confined Domain
S. I. Denisov, Werner Horsthemke, Peter Hänggi
We derive the generalized Fokker-Planck equation associated with a Langevin equation driven by arbitrary additive white noise. We apply our result to study the distribution of symm…