The Effects of Variability on Metapopulation Dynamics and Rates of Invasion

Abstract

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Singular Perturbation Analysis of Travelling Waves for a Model in Phytopathology

“…We have obtained that the wave speed is discontinuous with respect to the proportion of long range dispersal and more specifically at F = 1 that corresponds to the case of short range dispersal only. This result is quite similar to the ones obtained for various models in the literature: on the one hand, in the context of composite dispersal kernels for integral kernel based models (see [7,12]), and on the other hand, for a simple model of a reaction-diffusion equation coupled with an ordinary differential one (see [6]). …”

Geographic spread of exotic species: Ecological lessons and opportunities from the invasion of the zebra mussel Dreissena polymorpha

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Competition–colonization dynamics in experimental bacterial metacommunities

“…Depending on allocation trade-offs, such as those determined by life history, these alternative strategies (that is, 'colonizers' versus 'competitors') reduce the ratio of interspecific to intraspecific competition and allow coexistence to occur without environmental heterogeneity among patches 6 . Although early CC models 1,2 somewhat unrealistically assumed strict trade-offs, including habitat homogeneity and the absence of both patch preemption and stochasticity, CC model predictions have been shown to be applicable to situations of greater complexity 4,7 .…”