A mathematical model for weed dispersal and control

L. J.S. Allen, E. J. Allen, S. Ponweera

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


Mathematical models for weed dispersal and control are developed, analyzed and numerically simulated. A model incorporating periodic control, e.g. herbicide application, is derived for a plant population in a spatially homogeneous setting. The model is extended to a spatially heterogeneous population where plant dispersal is incorporated. The dispersal and control model involves integrodifference equations, discrete in time and continuous in space. The models are analyzed to determine values of the control parameter that prevent weed spread. The effects of the control on travelling wave solutions are investigated numerically.

Original languageEnglish
Pages (from-to)815-834
Number of pages20
JournalBulletin of Mathematical Biology
Issue number5
StatePublished - Sep 1996


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