Population invasion with bistable dynamics and adaptive evolution: The evolutionary rescue

DOI10.1090/PROC/14150zbMath1441.92029arXiv1801.07024OpenAlexW2963597480WikidataQ120221009 ScholiaQ120221009MaRDI QIDQ4683524

Matthieu Alfaro, Arnaut Ducrot

Publication date: 21 September 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.07024

zbMATH Keywords

energy methodreaction-diffusion systemlong-time behaviourAllee effectevolutionary rescue

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Initial value problems for second-order parabolic systems (35K45)

Related Items (3)

Quantitative Estimates of the Threshold Phenomena for Propagation in Reaction-Diffusion Equations ⋮ The stability of diverging traveling fronts and threshold phenomenon for the buffered bistable system ⋮ When the Allee threshold is an evolutionary trait: persistence vs. extinction

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• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Multidimensional nonlinear diffusion arising in population genetics
• Fujita blow up phenomena and hair trigger effect: the role of dispersal tails
• Threshold phenomena for symmetric decreasing solutions of reaction-diffusion equations
• Sharp transition between extinction and propagation of reaction

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