English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We focus on the spreading properties of solutions of monostablereaction-diffusion equations. Initial data are assumed to have heavy tails,which tends to accelerate the invasion phenomenon. On the other hand, thenonlinearity involves a weak Allee effect, which tends to slow down theprocess. We study the balance between the two effects. For algebraic tails, weprove the exact separation between "no acceleration and acceleration". Thisimplies in particular that, for tails exponentially unbounded but lighter thanalgebraic , acceleration never occurs in presence of an Allee effect. This isin sharp contrast with the KPP situation [19]. When algebraic tails lead toacceleration despite the Allee effect, we also give an accurate estimate of theposition of the level sets.

Slowing Allee effect vs. accelerating heavy tails in monostable reaction diffusion equations