Work

Periodic traveling waves in an integro-difference equation with non-monotonic growth and strong Allee effect

Year: 2026

Type: article

Abstract: We derive sufficient conditions for the existence of a periodic traveling wave solution to an integro-difference equation with a piecewise constant growth function exhibiting a stable period- 2 2 cycle and strong Allee effect. The mean traveling wave speed is shown to be the asymptotic spreading speed of solutions with compactly supported initial data under appropriate conditions. We then conduct case studies for the Laplace kernel and uniform kernel.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/proc/17052

Authors: Michael Nestor, Bingtuan Li

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: green

Funder: National Science Foundation

Awards: Spreading Speeds and Non-Spreading Solutions for Spatial Population Models with Allee Effects, Persistence and Spreading Speeds in Multi-Species Models with A Shifting Habitat Edge

OpenAlex ID: W7170617301

FWCI:

Cites: 16

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