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    請使用永久網址來引用或連結此文件: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/122111

    題名: Global dynamics and traveling wave solutions for a three-species model
    作者: Li, Fanfan;Han, Zhenlai;Yang, Ting-Hui
    日期: 2022-03-15
    上傳時間: 2022-02-14 12:10:57 (UTC+8)
    出版者: Wiley
    摘要: 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.
    關聯: Mathematical Methods in the Applied Sciences 45(4), P.2380-2397
    DOI: 10.1002/mma.7934
    顯示於類別:[數學學系暨研究所] 期刊論文


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