Comparison of weed spread models

Abstract

Numerous models of weed spread and growth exist in ecology. We compare four common models: reaction diffusion, integro-difference, `scatter' model, and an `occupation' model. We discuss their similarities, strengths and limitations. After verifying the equivalence of the integro-difference model, with a Gaussian kernel, against the reaction diffusion model, we show how to equate parameters of the different models. We also investigate the effect of the occupation model parameters on spread behaviour. References

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