Research Article
Stability of solutions to functional KPP-Fisher equations
https://doi.org/10.21203/rs.3.rs-2485926/v1
This work is licensed under a CC BY 4.0 License
published 14 Aug, 2023
Read the published version in Journal of Dynamics and Differential Equations →
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We study the stability properties of semi-wavefronts of the KPPFisher equation with infinite delay ∂/∂t u(t, x) = ∂/∂x2 u(t, x)+∫0+∞ u(t−s, x)dμ1(s)(1 − ∫0+∞ u(t − s, x)dμ2(s)), t > 0, x ∈ R, where μ1 and μ2 are Borel measures. We make an interesting remark about the non convergence in form when the delay is finite, unlike the classic convergence result to KPP-Fisher equation without delay. We also present a result about the stability of semi-wavefronts to the Neutral KPP-Fisher.
No competing interests reported.
published 14 Aug, 2023
Read the published version in Journal of Dynamics and Differential Equations →
Editorial decision: Major revision
31 Mar, 2023
Reviews received at journal
31 Mar, 2023
Reviewers agreed at journal
01 Feb, 2023
Reviewers invited by journal
27 Jan, 2023
Editor assigned by journal
18 Jan, 2023
Submission checks completed at journal
18 Jan, 2023
First submitted to journal
16 Jan, 2023
You are reading this latest preprint version