Dynamics of a diffusive predator-prey model with Allee effect on predator
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Publication:1956149
DOI10.1155/2013/984960zbMath1264.34166OpenAlexW2047986370WikidataQ58921323 ScholiaQ58921323MaRDI QIDQ1956149
Huihai Ma, Yongli Cai, Xiaoqin Wang
Publication date: 13 June 2013
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/984960
Population dynamics (general) (92D25) Qualitative investigation and simulation of models involving functional-differential equations (34K60)
Related Items (5)
Spatiotemporal dynamics of Leslie-Gower predator-prey model with Allee effect on both populations ⋮ Predator-prey models with component Allee effect for predator reproduction ⋮ Analytical detection of stationary and dynamic patterns in a prey-predator model with reproductive Allee effect in prey growth ⋮ Stability and Turing patterns of a predator-prey model with Holling type II functional response and Allee effect in predator ⋮ Role of allee effect on prey-predator model with component allee effect for predator reproduction
Uses Software
Cites Work
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- Predator-prey system with strong Allee effect in prey
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- Qualitative analysis of predator-prey models with Beddington-De Angelis functional response and diffusion
- Global stability of the equilibrium of a diffusive Holling-Tanner prey-predator model
- Effect of cross-diffusion on pattern formation - a nonlinear analysis
- Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
- How predator functional responses and Allee effects in prey affect the paradox of enrichment and population collapses
- The stability of predator\,-\,prey systems subject to the Allee effects
- Allee effect and bistability in a spatially heterogeneous predator-prey model
- Sharp spatial patterns of the diffusive Holling-Tanner prey-predator model in heterogeneous environment
- Positive steady states of the Holling–Tanner prey–predator model with diffusion
- Speeds of invasion in a model with strong or weak Allee effects
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