Integrodifference equations, Allee effects, and invasions
From MaRDI portal
Publication:1605967
DOI10.1007/s002850100116zbMath0991.92032OpenAlexW1992312556WikidataQ77906373 ScholiaQ77906373MaRDI QIDQ1605967
Michael G. Neubert, Mark Kot, Mei-Hui Wang
Publication date: 29 July 2002
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002850100116
Problems related to evolution (92D15) Numerical methods for integral equations (65R20) Ecology (92D40) Qualitative behavior of solutions to integral equations (45M99)
Related Items
Existence of stable localized structures in population dynamics through the Allee effect ⋮ Constraints on the use of lifespan-shortening \textit{Wolbachia} to control dengue fever ⋮ Establishing a beachhead: a stochastic population model with an Allee effect applied to species invasion ⋮ Spreading Phenomena in Integrodifference Equations with Nonmonotone Growth Functions ⋮ NonMonotonicity of Traveling Wave Profiles for a Unimodal Recursive System ⋮ Connecting Orbits for Compact Infinite Dimensional Maps: Computer Assisted Proofs of Existence ⋮ 28 models later: model competition and the zombie apocalypse ⋮ Bistable traveling waves in impulsive reaction-advection-diffusion models ⋮ Neutral genetic patterns for expanding populations with nonoverlapping generations ⋮ A spatially explicit model for an Allee effect: why wolves recolonize so slowly in Greater Yellowstone ⋮ Propagation of second order integrodifference equations with local monotonicity ⋮ Accelerating invasions and the asymptotics of fat-tailed dispersal ⋮ The effects of stochasticity on pattern formation in a space- and time-discrete predator-prey system with strong Allee effect in the prey ⋮ Bifurcation diagrams of a \(p\)-Laplacian Dirichlet problem with Allee effect and an application to a diffusive logistic equation with predation ⋮ Seed predation-induced Allee effects, seed Dispersal and masting jointly drive the diversity of seed sources during population expansion ⋮ Block-pulse integrodifference equations ⋮ Persistence and extinction of population in reaction-diffusion-advection model with strong Allee effect growth ⋮ Spread and persistence for integro-difference equations with shifting habitat and strong Allee effect ⋮ Dynamical behavior of solutions of a reaction-diffusion-advection model with a free boundary ⋮ Relating coupled map lattices to integro-difference equations: dispersal-driven instabilities in coupled map lattices ⋮ Patchy invasion of stage-structured alien species with short-distance and long-distance dispersal ⋮ Almost Periodicity for a Nonautonomous Discrete Dispersive Population Model ⋮ Deploying dengue-suppressing \textit{Wolbachia} : robust models predict slow but effective spatial spread in \textit{Aedes aegypti} ⋮ Can a barrier zone stop invasion of a population? ⋮ The importance of census times in discrete-time growth-dispersal models ⋮ Bistable wave fronts in integrodifference equations ⋮ Optimal sterile insect release for area-wide integrated pest management in a density regulated pest population ⋮ Expansion or extinction: Deterministic and stochastic two-patch models with Allee effects ⋮ Weak Allee effects and species coexistence ⋮ The role of protection zone on species spreading governed by a reaction-diffusion model with strong Allee effect ⋮ Density-dependent dispersal in integrodifference equations ⋮ Modelling the biological invasion ofCarcinus maenas(the European green crab) ⋮ Pinned, locked, pushed, and pulled traveling waves in structured environments ⋮ Traveling wave solutions for integro-difference systems ⋮ Speeds of invasion in a model with strong or weak Allee effects ⋮ Exact solutions in front propagation problems with superdiffusion ⋮ Persistence in reaction diffusion models with weak Allee effect ⋮ Persistence and failure of complete spreading in delayed reaction-diffusion equations ⋮ Three-dimensional random walk models of individual animal movement and their application to trap counts modelling ⋮ Spatial patterns in a discrete-time SIS patch model ⋮ Habitat destruction and the extinction debt revisited: the Allee effect ⋮ Dynamics of a predator-prey system with prey subject to Allee effects and disease ⋮ Population extinction in discrete-time stochastic population models with an Allee effect ⋮ Dynamics of a generalized Ricker–Beverton–Holt competition model subject to Allee effects ⋮ Persistence and propagation of a discrete-time map and PDE hybrid model with strong Allee effect ⋮ Spreading speeds and traveling wavefronts for second order integrodifference equations ⋮ Dynamic study of a predator-prey model with weak Allee effect and delay ⋮ Wave speed and critical patch size for integro-difference equations with a strong Allee effect ⋮ Rotational symmetry and rotating waves in planar integro-difference equations ⋮ Speed sign of traveling waves to a competitive Lotka-Volterra recursive system with bistable nonlinearity ⋮ Optimal control of integrodifference equations in a pest-pathogen system
This page was built for publication: Integrodifference equations, Allee effects, and invasions
