Abstract
A deterministic model for the spread of infectious disease in a plant population consisting of N interacting groups with periodic removals of the infected plants is considered. In the case of two interacting groups with low infection levels, the problem is solved analytically. In the case of N interacting groups arranged in line, where the interaction between the groups decreases exponentially with distance, the mathematical model consists of N nonlinear equations. Numerical solution of these equations for some values of the parameters shows a pattern similar to the solution for the two interacting groups.
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Contributed from the Agricultural Research Organization, The Volcani Center, Bet Dagan, Israel. No. 1067-E, 1984 series
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Fishman, S., Marcus, R. A model for spread of plant disease with periodic removals. J. Math. Biology 21, 149–158 (1984). https://doi.org/10.1007/BF00277667
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DOI: https://doi.org/10.1007/BF00277667