Open problems in PDE models for knowledge-based animal movement via nonlocal perception and cognitive mapping
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Publication:2699747
DOI10.1007/s00285-023-01905-9OpenAlexW4362716678MaRDI QIDQ2699747
Publication date: 19 April 2023
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.09150
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Animal behavior (92D50) Fokker-Planck equations (35Q84) Mathematical modeling or simulation for problems pertaining to biology (92-10)
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Bifurcation analysis of a predator-prey model with memory-based diffusion ⋮ Epidemic dynamics and spatial segregation driven by cognitive diffusion and nonlinear incidence ⋮ Double Hopf bifurcation induced by spatial memory in a diffusive predator-prey model with Allee effect and maturation delay of predator ⋮ Spatial movement with temporally distributed memory and Dirichlet boundary condition ⋮ Biological modeling with nonlocal advection–diffusion equations ⋮ On cognitive epidemic models: spatial segregation versus nonpharmaceutical interventions ⋮ Spatial memory drives spatiotemporal patterns in a predator-prey model describing intraguild predation ⋮ Diffusive spatial movement with memory in an advective environment ⋮ Cognitive consumer-resource spatiotemporal dynamics with nonlocal perception ⋮ Spatio-temporal Dynamics in a Reaction-Diffusion Equation with Nonlocal Spatial Memory
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