Bistable travelling waves in competitive recursion systems

DOI10.1016/j.jde.2011.10.005zbMath1229.92083OpenAlexW2095014546MaRDI QIDQ656180

Xiao-Qiang Zhao, Yu-Xiang Zhang

Publication date: 16 January 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.10.005

Mathematics Subject Classification ID

Stability theory for integral equations (45M10) Ecology (92D40) Systems of nonlinear integral equations (45G15)

Related Items (17)

Bistable traveling waves in impulsive reaction-advection-diffusion models ⋮ Minimal wave speed of a competition integrodifference system ⋮ The existence of traveling wave solutions in an integro-difference competition–cooperation system ⋮ Propagation dynamics for a spatially periodic integrodifference competition model ⋮ Existence and stability of time periodic traveling waves for a periodic bistable Lotka-Volterra competition system ⋮ Propagation dynamics of a three-species nonlocal competitive-cooperative system ⋮ Bistable traveling waves for a lattice competitive-cooperative system with delay ⋮ Propagation dynamics of Lotka-Volterra competition systems with asymmetric dispersal in periodic habitats ⋮ Asymptotic behavior and uniqueness of traveling wave fronts in a competitive recursion system ⋮ Bistable traveling waves for a competitive-cooperative system with nonlocal delays ⋮ Bistable waves of a recursive system arising from seasonal age-structured population models ⋮ Traveling wave solutions for integro-difference systems ⋮ Propagation thresholds of competitive integrodifference systems ⋮ Propagation phenomena for a bistable Lotka-Volterra competition system with advection in a periodic habitat ⋮ Persistence and propagation of a discrete-time map and PDE hybrid model with strong Allee effect ⋮ Uniqueness and stability of bistable waves for monotone semiflows ⋮ Speed sign of traveling waves to a competitive Lotka-Volterra recursive system with bistable nonlinearity

Cites Work

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• Analysis of linear determinacy for spread in cooperative models
• Long-Time Behavior of a Class of Biological Models
• Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
• Spreading Speeds and Traveling Waves for Nonmonotone Integrodifference Equations
• Some Discrete Competition Models and the Competitive Exclusion Principle^†
• A Nonlinear Integral Operator Arising from a Model in Population Genetics I. Monotone Initial Data
• The Theory of the Chemostat
• Dynamical systems in population biology

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