Asymptotic dynamics of the Leslie-gower competition system with Allee effects and stocking

DOI10.1186/s13662-014-0330-5zbMath1351.37273OpenAlexW2141224757WikidataQ59413212 ScholiaQ59413212MaRDI QIDQ318597

Yunshyong Chow, Sophia R.-J. Jang

Publication date: 5 October 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-014-0330-5

zbMATH Keywords

stable manifoldAllee effectscompetition systemstocking

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Attractors of solutions to ordinary differential equations (34D45)

Related Items (1)

Dynamics of planar systems that model stage-structured populations

Cites Work

• The effects of planting and harvesting on endangered species in discrete competitive systems
• Global behavior of a two-dimensional competitive system of difference equations with stocking
• Allee effects, extinctions, and chaotic transients in simple population models
• Competitive exclusion and coexistence in a Leslie–Gower competition model with Allee effects
• INVARIANT MANIFOLDS FOR COMPETITIVE DISCRETE SYSTEMS IN THE PLANE
• Global Stability of Cycles: Lotka-Volterra Competition Model With Stocking
• THE PROPERTIES OF A STOCHASTIC MODEL FOR TWO COMPETING SPECIES
• Coexistence and extinction in a competitive exclusion Leslie/Gower model with harvesting and stocking
• Planar competitive and cooperative difference equations
• Open problems and conjectures
• Some Discrete Competition Models and the Competitive Exclusion Principle^†
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Allee effects in a discrete-time host-parasitoid model
• Unnamed Item

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