caa a22 4500 477067573 CHVBK 20180405111416.0 cr unu---uuuuu 170330e19960901xx s 000 0 eng 10.1007/BF02459485 doi (NATIONALLICENCE)springer-10.1007/BF02459485 A mathematical model for weed dispersal and control [Elektronische Daten] [L. Allen, E. Allen, S. Ponweera] 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. Society for Mathematical Biology, 1996 Allen L. Department of Mathematics, Texas Tech University, 79409-1042, Lubbock, TX, U.S.A. aut Allen E. Department of Mathematics, Texas Tech University, 79409-1042, Lubbock, TX, U.S.A. aut Ponweera S. Department of Mathematics, Texas Tech University, 79409-1042, Lubbock, TX, U.S.A. aut Bulletin of Mathematical Biology Kluwer Academic Publishers 58/5(1996-09-01), 815-834 0092-8240 58:5<815 1996 58 11538 https://doi.org/10.1007/BF02459485 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02459485 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Allen L. Department of Mathematics, Texas Tech University, 79409-1042, Lubbock, TX, U.S.A aut NATIONALLICENCE 700 1- Allen E. Department of Mathematics, Texas Tech University, 79409-1042, Lubbock, TX, U.S.A aut NATIONALLICENCE 700 1- Ponweera S. Department of Mathematics, Texas Tech University, 79409-1042, Lubbock, TX, U.S.A aut NATIONALLICENCE 773 0- Bulletin of Mathematical Biology Kluwer Academic Publishers 58/5(1996-09-01), 815-834 0092-8240 58:5<815 1996 58 11538 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer