Traveling wave solutions in a plant population model with a seed bank

DOI10.1007/s00285-011-0481-xzbMath1251.92042OpenAlexW2036063814WikidataQ33454106 ScholiaQ33454106MaRDI QIDQ690653

Bingtuan Li

Publication date: 28 November 2012

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

Full work available at URL: https://doi.org/10.1007/s00285-011-0481-x

zbMATH Keywords

Laplace transformspreading speedtraveling wave solutionintegro-difference model

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Ecology (92D40) Functional equations and inequalities (39B99) Applications of difference equations (39A60)

Related Items (5)

Monotone traveling waves in a general discrete model for populations ⋮ NonMonotonicity of Traveling Wave Profiles for a Unimodal Recursive System ⋮ Propagation of invasive plant species in the presence of a road ⋮ Success, failure, and spreading speeds for invasions on spatial gradients ⋮ Should I stay or should I go: partially sedentary populations can outperform fully dispersing populations in response to climate-induced range shifts

Cites Work

• Unnamed Item
• The Africanized honey bee dispersal: a mathematical zoom
• The joint evolution of seed dormancy and flowering time in annual plants living in variable environments
• Density-dependent regulation of spatially distributed populations and their asymptotic speed of spread
• Dispersion population models discrete in time and continuous in space
• Spreading speeds and traveling waves for abstract monostable evolution systems
• Existence of traveling waves for integral recursions with nonmonotone growth functions
• Existence and stability of travelling wave solutions of a nonlinear integral operator
• Discrete-time growth-dispersal models
• Discrete-time travelling waves: Ecological examples
• Dispersal and pattern formation in a discrete-time predator-prey model
• Dispersal and competition models for plants
• Asymptotic properties of a continuous-space discrete-time population model in a random environment
• Long-Time Behavior of a Class of Biological Models
• Spreading Speeds and Traveling Waves for Nonmonotone Integrodifference Equations
• On the bounded solutions of a nonlinear convolution equation
• Elements of Mathematical Ecology
• A Nonlinear Integral Operator Arising from a Model in Population Genetics I. Monotone Initial Data
• A Nonlinear Integral Operator Arising from a Model in Population Genetics II. Initial Data with Compact Support
• Spreading speed and travelling wave solutions of a partially sedentary population
• The fixed point index and asymptotic fixed point theorems for $k$-set-contractions

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