Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/105852
Title: | Global dynamics and pattern formation for predator-prey system with density-dependent motion | Authors: | Feng, T Wu, L |
Issue Date: | 2023 | Source: | Mathematical biosciences and engineering, 2023, v. 20, no. 2, p. 2296-2320 | Abstract: | In this paper, we concern with the predator-prey system with generalist predator and density-dependent prey-taxis in two-dimensional bounded domains. We derive the existence of classical solutions with uniform-in-time bound and global stability for steady states under suitable conditions through the Lyapunov functionals. In addition, by linear instability analysis and numerical simulations, we conclude that the prey density-dependent motility function can trigger the periodic pattern formation when it is monotone increasing. | Keywords: | Asymptotic stability Global existence Pattern formation |
Publisher: | AIMS Press | Journal: | Mathematical biosciences and engineering | ISSN: | 1547-1063 | EISSN: | 1551-0018 | DOI: | 10.3934/mbe.2023108 | Rights: | ©2023 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0) The following publication Tingfu Feng, Leyun Wu. Global dynamics and pattern formation for predator-prey system with density-dependent motion[J]. Mathematical Biosciences and Engineering, 2023, 20(2): 2296-2320 is available at https://doi.org/10.3934/mbe.2023108. |
Appears in Collections: | Journal/Magazine Article |
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