Global dynamics and traveling wave solutions for a three-species model

機構典藏 > College of Sciences > Graduate Institute & Department of Mathematics > Journal Article > Item 987654321/122111

Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/122111

Title:	Global dynamics and traveling wave solutions for a three-species model
Authors:	Li, Fanfan;Han, Zhenlai;Yang, Ting-Hui
Date:	2022-03-15
Issue Date:	2022-02-14 12:10:57 (UTC+8)
Publisher:	Wiley
Abstract:	In this work, we investigate the system of a three-species ecological model involving one predator–prey subsystem coupling with a generalist predator with negative effect on the prey. Without diffusive terms, all global dynamics of its corresponding reaction equations are proved analytically for all classified parameters. With diffusive terms, the transitions of different spatial homogeneous solutions, the existence of traveling wave solutions, are investigated by a higher dimensional shooting method, the Wazewski method. These mathematical results, under mild conditions, imply that a generalist predator can stabilize a predator–prey system even with negative effects of coupling. Finally, some biological implications are given and the interesting numerical simulations are performed.
Relation:	Mathematical Methods in the Applied Sciences 45(4), P.2380-2397
DOI:	10.1002/mma.7934
Appears in Collections:	[Graduate Institute & Department of Mathematics] Journal Article

Files in This Item:

File	Description	Size	Format
index.html		0Kb	HTML	70	View/Open