Dynamics of traveling waves for predator-prey systems with Allee effect and time delay
DOI:
https://doi.org/10.58997/ejde.2024.33Keywords:
Predator-prey system; Allee effect; traveling waves; asymptotic behavior; geometric singular perturbationAbstract
This article aims to establish the existence of traveling waves for a predator-prey system with Beddington-DeAngelis functional response, reproductive Allee effect, and time delay. We investigate the existence of solutions for a system with two special delay kernels by geometric singular perturbation theory, invariant manifold theory, and Fredholm orthogonality theory. In addition, we discuss the asymptotic behaviors of traveling waves with the aid of the asymptotic theory.
For more information see https://ejde.math.txstate.edu/Volumes/2024/33/abstr.html
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Copyright (c) 2024 Yang Hua, Xiaojie Lin, Jiang Liu, Haixia Lu
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