Li Chen

TL;DR: The organization and dynamics of alkaloid loci and abundant repeat blocks in the epichloae suggested that these fungi are under selection for alkaloids diversification, and it is suggested that such selection is related to the variable life histories of the epICHloae, their protective roles as symbionts, and their associations with the highly speciose and ecologically diverse cool-season grasses.

TL;DR: The global existence of a nonnegative weak solution to a multidimensional parabolic strongly coupled model for two competing species is proved and the main feature of the model is that the diffusion matrix is nonsymmetric and generally not positive definite.

TL;DR: In this article, the global existence of non-negative weak solutions to a strongly coupled parabolic system arising in population dynamics is shown based on a positivity-preserving backward Euler-Galerkin approximation, discrete entropy estimates, and L 1 weak compactness arguments.

TL;DR: Greater understanding of the ecoevolutionary factors that underlie the diversification of M. oryzae is provided and the practicality of genomic data for epidemiological surveillance in this important multihost pathogen is highlighted.

TL;DR: In this paper, the difference between the many-body Schrodinger evolution in the mean-field regime and the effective nonlinear Hartree dynamics is at most of the order 1/N, for any fixed time.