Dynamics of a Leslie-Gower predator-prey model with additive Allee effect
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Publication:2338455
DOI10.1016/j.apm.2014.09.038zbMath1443.92149OpenAlexW1968748439WikidataQ115587647 ScholiaQ115587647MaRDI QIDQ2338455
Caidi Zhao, Yongli Cai, Weiming Wang, Jin-Feng Wang
Publication date: 21 November 2019
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2014.09.038
Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25)
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Cites Work
- Dynamics and pattern formation in a diffusive predator-prey system with strong Allee effect in prey
- Dynamical complexities in the Leslie-Gower predator-prey model as consequences of the Allee effect on prey
- Predator-prey system with strong Allee effect in prey
- Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
- Two limit cycles in a Leslie-Gower predator-prey model with additive Allee effect
- Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
- Heteroclinic orbits indicate overexploitation in predator-prey systems with a strong Allee effect
- Persistence in reaction diffusion models with weak Allee effect
- The stability of predator\,-\,prey systems subject to the Allee effects
- ALLEE EFFECTS: POPULATION GROWTH, CRITICAL DENSITY, AND THE CHANCE OF EXTINCTION
- Three Limit Cycles in a Leslie–Gower Predator-Prey Model with Additive Allee Effect
- SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
- Speeds of invasion in a model with strong or weak Allee effects
- Unnamed Item
- Unnamed Item