A mathematical model for weed dispersal and control

DOI10.1007/BF02459485zbMath0856.92024OpenAlexW4242630532MaRDI QIDQ1817461

S. Ponweera, Linda J. S. Allen, Edward J. Allen

Publication date: 8 December 1996

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

Full work available at URL: https://doi.org/10.1007/bf02459485

zbMATH Keywords

travelling wave solutionsintegrodifference equationsperiodic controlherbicide applicationplant dispersalspatially heterogeneous populationweed dispersal

Mathematics Subject Classification ID

Application models in control theory (93C95) Ecology (92D40) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (5)

Optimization of total population in logistic model with nonlocal dispersals and heterogeneous environments ⋮ Multi-seasonal modelling of the African maize stalk borer with assessment of crop residue management ⋮ Spatial pattern formation in activator-inhibitor models with nonlocal dispersal ⋮ Classification of global dynamics of competition models with nonlocal dispersals. I: Symmetric kernels ⋮ Global dynamics of competition models with nonsymmetric nonlocal dispersals when one diffusion rate is small

Cites Work

• Properties of some density-dependent integrodifference equation population models
• Discrete-time growth-dispersal models
• Global stability of population models
• Discrete-time travelling waves: Ecological examples
• Qualitative analyses of communicable disease models
• Some discrete-time SI, SIR, and SIS epidemic models
• Dispersal and competition models for plants
• 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
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