Mathematical modeling of plant autotoxicity dose-responses

Plant autotoxicity widely exists in natural and agricultural ecosystems. Based on the hormetic dose responses of plants to autotoxins, this study introduced the Mitscherlich limiting-factor model into the An-Johnson-Lovett hormesis model and established a new autotoxicity dose/response model. Illustration of the model is in a good agreement with the literature. It demonstrates that the new model has better described the mechanisms of autotoxic phenomenon from the point view of ecological limiting-factor. The new model may be a good tool for analysing autotoxicity data as well as a platform for further research on plant autotoxicity.