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Spatial movement with nonlocal memory.
- Source :
- Discrete & Continuous Dynamical Systems - Series B; Nov2023, Vol. 28 Issue 11, p1-17, 17p
- Publication Year :
- 2023
-
Abstract
- Cognition and memory have a significant impact on the spatial movement of animals. This paper proposes a diffusive model with nonlocal memory-based diffusion to model animal movement. The stability of the positive homogeneous steady state and the bifurcation behaviors are investigated by taking the memory delay and the memory-based diffusion coefficient as bifurcation parameters. When the movement driven by the memory-based diffusion is slow, it has been shown that the memory does not affect the stability of the positive homogeneous steady state. However, when the memory-based diffusion is fast, a slight memory delay can destabilize the homogeneous steady state, while a large memory delay can strengthen the stability of the homogeneous equilibrium. Moreover, a series of Turing bifurcations and Hopf bifurcations lead to rich dynamics in the system. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15313492
- Volume :
- 28
- Issue :
- 11
- Database :
- Complementary Index
- Journal :
- Discrete & Continuous Dynamical Systems - Series B
- Publication Type :
- Academic Journal
- Accession number :
- 166735671
- Full Text :
- https://doi.org/10.3934/dcdsb.2023067