Results 221 to 230 of about 1,851,663 (252)

Stochasticity, invasions, and branching random walks

Theoretical Population Biology, 2004
We link deterministic integrodifference equations to stochastic, individual-based simulations by means of branching random walks. Using standard methods, we determine speeds of invasion for both average densities and furthest-forward individuals.
Jan Medlock, Mark Kot
exaly   +3 more sources

Branching random walks in random environment

open access: yes, 2021
We consider branching particle processes on discrete structures like the hypercube in a random fitness landscape (i.e. random branching/killing rates). The main question is about the location where the main part of the population sits at a late time, if the state space is large. For answering this, we take the expectation with respect to the migration (
Wolfgang König, König, Wolfgang
openaire   +3 more sources

Simplicial branching random walks

Journal of Applied and Computational Topology, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Branching Random Walks with Immigration

2017
The paper contains several results on the existence of limits for the first two moments of the popular model in the population dynamics: continuous-time branching random walks on the multidimensional lattice \(\mathbb Z^d\), \(d\ge 1\), with immigration and infinite number of initial particles.
Dan Han   +3 more
openaire   +1 more source

Branching random walk with a critical branching part

Journal of Theoretical Probability, 1995
Let \(M_n\) be the maximal displacement of a branching random walk, where the offspring distribution has finite variance and mean 1 and the increments of the random walk have \((4 + \varepsilon)\)-th finite moment and mean zero. Let \(\beta>0\). The main result is that \(n^{-1/2}M_n\) conditioned on nonextinction till time \(n \beta\) of the branching ...
openaire   +1 more source

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