TY - JOUR
T1 - Traveling Wave Solutions for a Predator-Prey Model with Beddington-DeAngelis Functional Response
AU - Gao , Zhuanling
AU - Zhao , Xiangkui
AU - Zhao , Zhihong
JO - Annals of Applied Mathematics
VL - 3
SP - 221
EP - 234
PY - 2021
DA - 2021/01
SN - 36
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/18582.html
KW - predator-prey model, Beddington-DeAngelis, traveling wave solution, existence.
AB - <p style="text-align: justify;">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&#39;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.</p>