Article ; Online: Global existence and stability of the classical solution to a density-dependent prey-predator model with indirect prey-taxis.
Mathematical biosciences and engineering : MBE
2021 Volume 18, Issue 5, Page(s) 6672–6699
Abstract: We study the existence of global unique classical solution to a density-dependent prey-predator population system with indirect prey-taxis effect. With two Lyapunov functions appropriately constructed, we then show that the solution can asymptotically ... ...
Abstract | We study the existence of global unique classical solution to a density-dependent prey-predator population system with indirect prey-taxis effect. With two Lyapunov functions appropriately constructed, we then show that the solution can asymptotically approach prey-only state or coexistence state of the system under suitable conditions. Moreover, linearized analysis on the system at these two constant steady states shows their linear instability criterion. By numerical simulation we find that some density-dependent prey-taxis and predators' diffusion may either flatten the spatial one-dimensional patterns which exist in non-density-dependent case, or break the spatial two-dimensional distribution similarity which occurs in non-density-dependent case between predators and chemoattractants (released by prey). |
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MeSH term(s) | Animals ; Computer Simulation ; Diffusion ; Ecosystem ; Models, Biological ; Population Dynamics ; Predatory Behavior |
Language | English |
Publishing date | 2021-09-13 |
Publishing country | United States |
Document type | Journal Article ; Research Support, Non-U.S. Gov't |
ZDB-ID | 2265126-3 |
ISSN | 1551-0018 ; 1551-0018 |
ISSN (online) | 1551-0018 |
ISSN | 1551-0018 |
DOI | 10.3934/mbe.2021331 |
Database | MEDical Literature Analysis and Retrieval System OnLINE |
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