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Bifurcations and global dynamics in a predator–prey model with a strong Allee effect on the prey, and a ratio-dependent functional response

  • Published:2014-04 Issue: Volume:16 Page:235-249
  • ISSN:1468-1218
  • Container-title:Nonlinear Analysis: Real World Applications
  • language:en
  • Short-container-title:Nonlinear Analysis: Real World Applications

Author:

Aguirre Pablo,Flores José D.,González-Olivares Eduardo

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,General Economics, Econometrics and Finance,General Engineering,General Medicine,Analysis

Reference58 articles.

1. Allee Effects in Ecology and Conservation;Courchamp,2008

2. Deterministic Mathematical Models in Population Ecology;Freedman,1980

3. The Struggle for Existence;Gause,1934

4. Stability and Complexity in Model Ecosystems;May,2001

5. Complex Population Dynamics. A Theoretical/Empirical Synthesis;Turchin,2003

Cited by 45 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Comparative Study of Allee Effects and Fear-Induced Responses: Exploring Hyperbolic and Ratio-Dependent Models;International Journal of Applied and Computational Mathematics;2024-08-27

2. How can we avoid the extinction of any species naturally? A mathematical model;International Journal of Biomathematics;2024-07-10

3. Turing patterns in a predator–prey model with double Allee effect;Mathematics and Computers in Simulation;2024-06

4. Dynamical integrity estimation in time delayed systems: A rapid iterative algorithm;Journal of Sound and Vibration;2024-02

5. Dynamical transition and bifurcation of a diffusive predator–prey model with an Allee effect on prey;Communications in Nonlinear Science and Numerical Simulation;2023-11
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