Dynamics of a system of three interacting populations with Allee effects and stocking

DOI10.1080/10236198.2015.1011148zbMath1347.92062OpenAlexW2042627624MaRDI QIDQ5247376

Yunshyong Chow, Sophia R.-J. Jang

Publication date: 24 April 2015

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2015.1011148

zbMATH Keywords

existence of equilibriadomains of attractionlocal and global attractivitythree-dimensional and two-dimensional systems of discrete difference equationsuniform persistence of solutions

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory for difference equations (39A30) Applications of difference equations (39A60)

Related Items (6)

Dynamics of a class of host-parasitoid models with external stocking upon parasitoids ⋮ The role of host refuge and strong Allee effects in a host–parasitoid system ⋮ Dynamics of a discrete host-parasitoid system with stocking ⋮ Bifurcation analysis and chaos control in a discrete epidemic system ⋮ Mathematical Analysis of an Eco-Epidemic Model with Different Functional Responses of Healthy and Infected Predators on Prey Species ⋮ Cooperative hunting in a discrete predator–prey system

Cites Work

• A theorem on average Liapunov functions
• Global behavior of a two-dimensional competitive system of difference equations with stocking
• Scramble competitions can rescue endangered species subject to strong Allee effects
• Allee effects, extinctions, and chaotic transients in simple population models
• INVARIANT MANIFOLDS FOR COMPETITIVE DISCRETE SYSTEMS IN THE PLANE
• Dynamics of a discrete-time host–parasitoid system with cannibalism
• Global Stability of Cycles: Lotka-Volterra Competition Model With Stocking
• Coexistence and extinction in a competitive exclusion Leslie/Gower model with harvesting and stocking
• Planar competitive and cooperative difference equations
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Coexistence in a discrete competition model with dispersal
• Allee effects in a discrete-time host-parasitoid model

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