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http://hdl.handle.net/10397/93896
Title: | Asymptotic dynamics and spatial patterns of a ratio-dependent predator–prey system with prey-taxis | Authors: | Cai, Y Cao, Q Wang, ZA |
Issue Date: | 2022 | Source: | Applicable analysis, 2022, v. 101, no. 1, p. 81-99 | Abstract: | This paper is concerned with the global dynamics of a ratio-dependent predator–prey system with prey-taxis. We establish the global existence and uniform-in-time boundedness of solutions in any dimensional bounded domain with Neumann boundary conditions, and furthermore prove the global stability of homogeneous steady states under certain conditions. Finally we perform numerical simulations to show that the pattern formation may arise and prey-taxis is a factor driving the evolution of spatial inhomogeneity into homogeneity. | Keywords: | Global stability Pattern formation Predator–prey system Prey-taxis Ratio-dependent |
Publisher: | Taylor & Francis | Journal: | Applicable analysis | ISSN: | 0003-6811 | EISSN: | 1563-504X | DOI: | 10.1080/00036811.2020.1728259 | Rights: | © 2020 Informa UK Limited, trading as Taylor & Francis Group This is an Accepted Manuscript of an article published by Taylor & Francis in Applicable Analysis on 14 Feb 2020 (published online), available at: http://www.tandfonline.com/10.1080/00036811.2020.1728259 |
Appears in Collections: | Journal/Magazine Article |
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Wang_Asymptotic_Dynamics_Spatial.pdf | Pre-Published version | 591.45 kB | Adobe PDF | View/Open |
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