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The collective effect of finite-sized inhomogeneities on the spatial spread of populations in two dimensions
Wolfram Möbius, Francesca Tesser, Kim M. J. Alards +3
The dynamics of a population expanding into unoccupied habitat has been primarily studied for situations in which growth and dispersal parameters are uniform in space or vary in on…
Eigenvalue Repulsion and Eigenfunction Localization in Sparse Non-Hermitian Random Matrices
Grace H. Zhang, David R. Nelson
Complex networks with directed, local interactions are ubiquitous in nature, and often occur with probabilistic connections due to both intrinsic stochasticity and disordered envir…
Nucleation of antagonistic organisms and cellular competitions on curved, inflating substrates
Maxim O. Lavrentovich, David R. Nelson
We consider the dynamics of spatially-distributed, diffusing populations of organisms with antagonistic interactions. These interactions are found on many length scales, ranging fr…