Spreading speeds and traveling waves in competitive recursion systems

DOI10.1007/s00285-010-0334-zzbMath1232.92072OpenAlexW1985191231WikidataQ33534713 ScholiaQ33534713MaRDI QIDQ663127

Shigui Ruan, Guo Lin, Wang-Tong Li

Publication date: 14 February 2012

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-010-0334-z

zbMATH Keywords

Traveling wavesUpper and lower solutionsComparison principleCompetitive invadersSpreading speeds

Mathematics Subject Classification ID

Applications of functional analysis in biology and other sciences (46N60) Population dynamics (general) (92D25) Ecology (92D40) Functional equations and inequalities (39B99) Applications of difference equations (39A60)

Related Items (25)

Asymptotic speeds of spread and traveling wave solutions of a second order integrodifference equation without monotonicity ⋮ Asymptotic speeds of spread for a nonlocal diffusion equation ⋮ Spreading speed in an integrodifference predator-prey system without comparison principle ⋮ Minimal wave speed of a competition integrodifference system ⋮ Coinvasion–coexistence travelling wave solutions of an integro-difference competition system ⋮ Periodic traveling wave solutions of periodic integrodifference systems ⋮ The existence of traveling wave solutions in an integro-difference competition–cooperation system ⋮ Spreading speeds of a Lotka-Volterra predator-prey system: The role of the predator ⋮ Asymptotic spreading fastened by inter-specific coupled nonlinearities: a cooperative system ⋮ Spreading speeds for a class of non-local convolution differential equation ⋮ Traveling wave solutions in a Lotka-Volterra type competition recursion ⋮ Minimal wave speed of a competitive integrodifference system ⋮ Bistable travelling waves in competitive recursion systems ⋮ Traveling wave solutions in a diffusive system with two preys and one predator ⋮ Asymptotic spreading of competition diffusion systems: The role of interspecific competitions ⋮ Asymptotic behavior and uniqueness of traveling wave fronts in a competitive recursion system ⋮ Asymptotic spreading in a delayed dispersal predator-prey system without comparison principle ⋮ Multiple invasion speeds in a two-species integro-difference competition model ⋮ Asymptotic spreading of time periodic competition diffusion systems ⋮ Asymptotic spreading in a Lotka-Volterra predator-prey system ⋮ Traveling wave solutions for integro-difference systems ⋮ Propagation thresholds of competitive integrodifference systems ⋮ Spreading speeds of epidemic models with nonlocal delays ⋮ Traveling waves and spreading properties for a reaction-diffusion competition model with seasonal succession* ⋮ Traveling wave phenomena in a Kermack-McKendrick SIR model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Wave solutions for the deterministic non-reducible n-type epidemic
• Thresholds and travelling waves for the geographical spread of infection
• Density-dependent regulation of spatially distributed populations and their asymptotic speed of spread
• The uniqueness of wave solutions for the deterministic non-reducible n- type epidemic
• The velocity of spatial population expansion
• Spatial effects in discrete generation population models
• Some remarks on traveling wave solutions in competition models
• Biological growth and spread modeled by systems of recursions. I: Mathematical theory
• Biological growth and spread modeled by systems of recursions. II: Biological theory
• Traveling wave solutions in delayed reaction diffusion systems with applications to multi-species models
• Asymptotic stability of monostable wavefronts in discrete-time integral recursions
• Traveling wave solutions in delayed diffusion systems via a cross iteration scheme
• The asymptotic speed of propagation of the deterministic non-reducible n- type epidemic
• Discrete-time travelling waves: Ecological examples
• Multidimensional nonlinear diffusion arising in population genetics
• Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction--diffusion models.
• Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion
• Spreading speed and linear determinacy for two-species competition models
• Analysis of linear determinacy for spread in cooperative models
• On spreading speeds and traveling waves for growth and migration models in a periodic habitat
• Dispersal and competition models for plants
• Traveling waves for nonlocal delayed diffusion equations via auxiliary equations
• Anomalous spreading speeds of cooperative recursion systems
• Spreading speeds as slowest wave speeds for cooperative systems
• Long-Time Behavior of a Class of Biological Models
• Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
• Spreading speeds and travelling waves in a delayed population model with stage structure on a 2D spatial lattice
• Spreading Speeds and Traveling Waves for Nonmonotone Integrodifference Equations
• Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations.
• Asymptotic speed of propagation of wave fronts in a lattice delay differential equation with global interaction
• Some Discrete Competition Models and the Competitive Exclusion Principle^†
• Existence of travelling wave solutions in delayed reaction–diffusion systems with applications to diffusion–competition systems
• Spread rate for a nonlinear stochastic invasion

This page was built for publication: Spreading speeds and traveling waves in competitive recursion systems