Multiple stability and uniqueness of the limit cycle in a Gause-type predator-prey model considering the Allee effect on prey
DOI10.1016/j.nonrwa.2011.04.003zbMath1231.34053OpenAlexW1979059308MaRDI QIDQ660695
Betsabé González-Yañez, Héctor Meneses-Alcay, Eduardo González-Olivares, Jaime Mena-Lorca, Alejandro Rojas-Palma, Rodrigo Ramos-Jiliberto
Publication date: 5 February 2012
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.04.003
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
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- Multiple limit cycles in a Gause type predator-prey model with Holling type III functional response and Allee effect on prey
- Predator-prey system with strong Allee effect in prey
- Uniqueness of limit cycles in Gause-type models of predator-prey systems
- On a predator-prey system of Gause type
- How predator functional responses and Allee effects in prey affect the paradox of enrichment and population collapses
- Heteroclinic orbits indicate overexploitation in predator-prey systems with a strong Allee effect
- Qualitative theory of planar differential systems
- ALLEE EFFECTS: POPULATION GROWTH, CRITICAL DENSITY, AND THE CHANCE OF EXTINCTION
- Global Analysis of a System of Predator–Prey Equations
- Uniqueness of a Limit Cycle for a Predator-Prey System
- On the uniqueness and nonexistence of limit cycles for predator prey systems
- Geometric criteria for the nonexistence of cycles in Gause-type predator-prey systems
- Speeds of invasion in a model with strong or weak Allee effects
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