Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/93889
Title: | Global dynamics and spatio-temporal patterns of predator–prey systems with density-dependent motion | Authors: | Jin, HY Wang, ZA |
Issue Date: | Aug-2021 | Source: | European journal of applied mathematics, Aug. 2021, v. 32, no. 4, p. 652-682 | Abstract: | In this paper, we investigate the global boundedness, asymptotic stability and pattern formation of predator-prey systems with density-dependent prey-Taxis in a two-dimensional bounded domain with Neumann boundary conditions, where the coefficients of motility (diffusiq'dfdon) and mobility (prey-Taxis) of the predator are correlated through a prey density-dependent motility function. We establish the existence of classical solutions with uniform-in time bound and the global stability of the spatially homogeneous prey-only steady states and coexistence steady states under certain conditions on parameters by constructing Lyapunov functionals. With numerical simulations, we further demonstrate that spatially homogeneous time-periodic patterns, stationary spatially inhomogeneous patterns and chaotic spatio-Temporal patterns are all possible for the parameters outside the stability regime. We also find from numerical simulations that the temporal dynamics between linearised system and nonlinear systems are quite different, and the prey density-dependent motility function can trigger the pattern formation. | Keywords: | Boundedness Global stability Lyapunov functional Predator-prey system Prey-Taxis |
Publisher: | Cambridge University Press | Journal: | European journal of applied mathematics | ISSN: | 1469-4425 | EISSN: | 0956-7925 | DOI: | 10.1017/S0956792520000248 | Rights: | This article has been published in a revised form in European Journal of Applied Mathematics http://doi.org/10.1017/S0956792520000248.
This version is free to view and download for private research and study only. Not for re-distribution or re-use. © The Author(s), 2020.
Published by Cambridge University Press. When citing an Accepted Manuscript or an earlier version of an article, the Cambridge University Press requests that readers also cite the Version of Record with a DOI link. The article is subsequently published in revised form in European Journal of Applied Mathematics https://dx.doi.org/10.1017/S0956792520000248. |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Wang_Global_Dynamics_Spatio-Temporal.pdf | Pre-Published version | 866.34 kB | Adobe PDF | View/Open |
Page views
42
Last Week
1
1
Last month
Citations as of Apr 28, 2024
Downloads
47
Citations as of Apr 28, 2024
SCOPUSTM
Citations
30
Citations as of May 3, 2024
WEB OF SCIENCETM
Citations
54
Citations as of May 2, 2024
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.