Dynamical analysis of a spatial memory prey-predator system with gestation delay and strong Allee effect
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Publication:6153632
DOI10.1007/s00033-023-02171-xMaRDI QIDQ6153632
Luhong Ye, Daiyong Wu, Hongyong Zhao
Publication date: 14 February 2024
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Reaction-diffusion equations (35K57) General topics in linear spectral theory for PDEs (35P05) Population dynamics (general) (92D25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Boundary value problems on manifolds (58J32) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcations in context of PDEs (35B32) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
- Unnamed Item
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- The mathematics behind biological invasions
- Dynamics in a diffusive predator-prey system with strong Allee effect and Ivlev-type functional response
- Dynamics and pattern formation in a diffusive predator-prey system with strong Allee effect in prey
- Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching
- Predator-prey system with strong Allee effect in prey
- Delays in recruitment at different trophic levels: Effects on stability
- Discrete delay, distributed delay and stability switches
- Convergence results in a well-known delayed predator-prey system
- Predator-prey models with delay and prey harvesting
- The effect of delay on a diffusive predator-prey system with Holling type-II predator functional response
- Spatial memory and taxis-driven pattern formation in model ecosystems
- Influence of fear effect and predator-taxis sensitivity on dynamical behavior of a predator-prey model
- Traveling waves for a diffusive mosquito-borne epidemic model with general incidence
- Spatiotemporal patterns of a diffusive prey-predator model with spatial memory and pregnancy period in an intimidatory environment
- Impact of discontinuous harvesting on a diffusive predator-prey model with fear and Allee effect
- Diffusive spatial movement with memory
- Analysis of a spatial memory model with nonlocal maturation delay and hostile boundary condition
- Memory-based movement with spatiotemporal distributed delays in diffusion and reaction
- Spatiotemporal dynamics in the single population model with memory-based diffusion and nonlocal effect
- The stability of predator\,-\,prey systems subject to the Allee effects
- On stability crossing curves for general systems with two delays
- Spatial movement with distributed memory
- Delayed responses and stability in two-species systems
- Diffusive spatial movement with memory and maturation delays
- Spatial movement with memory-induced cross-diffusion effect and toxin effect in predator
- Spatiotemporal dynamics of a diffusive consumer‐resource model with explicit spatial memory