Dispersal and competition models for plants

DOI10.1007/BF00167944zbMath0842.92026OpenAlexW2007950399MaRDI QIDQ1911129

Linda J. S. Allen, Xiaoning Gilliam, Edward J. Allen

Publication date: 31 July 1996

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

Full work available at URL: https://doi.org/10.1007/bf00167944

zbMATH Keywords

travelling wave solutionsintegrodifference equationstwo-species modelsingle-species modelsseed dispersalplant speciesasymptotic wave speedcompeting annual plants

Mathematics Subject Classification ID

Ecology (92D40) Difference equations (39A99) Functional equations and inequalities (39B99) Qualitative behavior of solutions to integral equations (45M99)

Related Items (15)

On a nonlocal system for vegetation in drylands ⋮ Asymptotic results for a multi-type contact birth-death process and related \(SIS\) epidemic ⋮ Propagation of invasive plant species in the presence of a road ⋮ Convergence results for contact branching processes ⋮ Analysis of integrodifference equations with a separable dispersal kernel ⋮ Effects of intraguild prey dispersal driven by intraguild predator-avoidance on species coexistence ⋮ Spreading speeds and traveling waves in competitive recursion systems ⋮ Analysis of a model for banded vegetation patterns in semi-arid environments with nonlocal dispersal ⋮ Traveling wave solutions in a plant population model with a seed bank ⋮ Spatial pattern formation in activator-inhibitor models with nonlocal dispersal ⋮ Bifurcation analysis of a general activator-inhibitor model with nonlocal dispersal ⋮ Monotone maps: a review ⋮ A mathematical model for weed dispersal and control ⋮ A model for plant invasions: the role of distributed generation times ⋮ Spatial effects in discrete generation population models

Cites Work

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• The joint evolution of seed dormancy and flowering time in annual plants living in variable environments
• Dispersal strategies in patchy environments
• Properties of some density-dependent integrodifference equation population models
• Dispersion population models discrete in time and continuous in space
• Biological growth and spread modeled by systems of recursions. I: Mathematical theory
• Biological growth and spread modeled by systems of recursions. II: Biological theory
• Discrete-time growth-dispersal models
• Discrete-time travelling waves: Ecological examples
• Alternatives to Lotka-Volterra competition: Models of intermediate complexity
• Life history tactics of annual organisms: The joint effects of dispersal and delayed germination
• Long-Time Behavior of a Class of Biological Models
• 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
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS

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