Abstract
We have studied an ecological system of two species (called strongandweak)competing for a single food resource, modelled as a reaction diffusion process. A whole family of exact analytical solutions has been found resorting to a quantum mechanical analogy. Such solutions indicate that in certain situations (and essentially as a consequence of the weakspecies mobility), the classical results on extinction and coexistence of Lotka-Volterra type equations are no longer valid. We have analyzed the stability of these solutions and discussed different possibilities for extending our results.
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