A REACTION-DIFFUSION EQUATION ON STRATIFIED GROUPS

We study an extension of the classical Fisher-KPP equation to stratified groups. We show the positivity, boundedness, asymptotic time-behavior, and blow-up in finite time of solutions. These results are also discussed for the (time-fractional) Fisher-KPP equation by means of the Caputo time-fraction...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-09, Vol.266 (4), p.593-602
Main Authors: Jabbarkhanov, Khumoyun, Restrepo, Joel E., Suragan, Durvudkhan
Format: Article
Language:English
Subjects:
Asymptotic properties
Epidemiology
Mathematics
Mathematics and Statistics
Population biology
Reaction-diffusion equations
Wave propagation
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Summary:We study an extension of the classical Fisher-KPP equation to stratified groups. We show the positivity, boundedness, asymptotic time-behavior, and blow-up in finite time of solutions. These results are also discussed for the (time-fractional) Fisher-KPP equation by means of the Caputo time-fractional derivative.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-05965-y