Nature's Longest Threads: New Frontiers in the Mathematics and Physics of Information in Biology
... In this current work we show that by making a small but significant modification of our models proposed in our previous work [17][18][19], we can qualitatively capture nearly all the features of the budmoth outbreaks in the French Alps. ...
... In the model we proposed [17][18][19], we described the populations in the system using q-deformed variables, taking different values of the deformation parameter q i for each species i, since each species could respond differently to any given stimulus. ...
... For the parasitoids, we chose q y = q parasitoids ≠ 1 (corresponding to the hyperbolic (Holling type-2) functional response) to avoid overcounting of parasitoids which results with the usual assumption made that the budmoth larvae are completely converted into parasitoid density. The actual biological feature of densitydependent removal of foliage (including damaged or partially consumed needles) by the budmoth is captured by taking q z = q PQI ≠ 1 [17][18][19]. This latter feature is captured only in our model and is absent in other models in the literature. ...
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