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Qualitative Analysis of a Spatiotemporal Prey-Predator Model with Additive Allee Effect and Fear Effect
- Source :
- Complexity, Vol 2022 (2022)
- Publication Year :
- 2022
- Publisher :
- Wiley, 2022.
-
Abstract
- A diffusive predator-prey system with both the additive Allee effect and the fear effect in the prey subject to Neumann boundary conditions is considered in this paper. Firstly, non-negative and non-trivial solution a priori estimations are shown. Furthermore, for specific parameter ranges, the absence of non-constant positive solutions is demonstrated. Secondly, we use the linearized theory to investigate the stability of non-negative constant solutions. The spatially homogeneous and non-homogeneous periodic solutions, as well as non-constant steady state solutions, are next investigated by using Allee effect parameters as the bifurcation parameter. Finally, numerical simulation is used to illustrate some theoretical results.
- Subjects :
- Electronic computers. Computer science
QA75.5-76.95
Subjects
Details
- Language :
- English
- ISSN :
- 10990526
- Volume :
- 2022
- Database :
- Directory of Open Access Journals
- Journal :
- Complexity
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.bc27378f3d5e43bab32c1b9e950f697b
- Document Type :
- article
- Full Text :
- https://doi.org/10.1155/2022/5715922