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Pré-Publication, Document De Travail Année : 2023

Super-linear spreading in local and non-local cane toads equations

Résumé

In this paper, we show super-linear propagation in a nonlocal reaction-diffusion-mutation equation modeling the invasion of cane toads in Australia that has attracted attention recently from the mathematical point of view. The population of toads is structured by a phenotypical trait that governs the spatial diffusion. In this paper, we are concerned with the case when the diffusivity can take unbounded values, and we prove that the population spreads as $t^{3/2}$. We also get the sharp rate of spreading in a related local model.
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Dates et versions

hal-01248264 , version 1 (24-12-2015)
hal-01248264 , version 2 (07-02-2023)

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Emeric Bouin, Christopher Henderson, Lenya Ryzhik. Super-linear spreading in local and non-local cane toads equations. 2023. ⟨hal-01248264v2⟩
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