Year: 2020
Author: Zhuanling Gao, Xiangkui Zhao, Zhihong Zhao
Annals of Applied Mathematics, Vol. 36 (2020), Iss. 3 : pp. 221–234
Abstract
In this paper, we study a class of predator-prey models with Beddington-DeAngelis functional response. And the predator equation has singularity in zero prey population, where a smoothing auxiliary function is introduced to overcome it. Our aim is to see if the predator and prey can eventually survive when an alien predator enters the habitat of an existing prey by employing traveling wave solutions, based on the upper and lower solutions and Schauder's fixed point theorem. In addition, the non-existence of traveling wave solutions is discussed by the comparison principle. At the same time, some simulations are carried out to further verify the results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2020-AAM-18582
Annals of Applied Mathematics, Vol. 36 (2020), Iss. 3 : pp. 221–234
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: predator-prey model Beddington-DeAngelis traveling wave solution existence.