Berlin 2018 – scientific programme

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BP: Fachverband Biologische Physik

BP 15: Postersession III

BP 15.84: Poster

Tuesday, March 13, 2018, 14:00–16:00, Poster B

Generalized exponential models for mean population growth on a set of stochastic substrates — •Andrey Khalin¹, Eugene Postnikov¹, and Alexey Ryabov² — ¹Kursk State University, Kursk, Russia — ²Carl von Ossietzky University Oldenburg, Oldenburg, Germany

We use approximate analytical models confirmed by numerical simulations to describe the average population growth on a resource heterogeneously distributed in space. It can serve, for instance, as a model for growth of zooplankton feeding in a highly heterogeneous environment. It is shown that the model for the growth of population averaged over a set of patches, where substrate distribution satisfies the generalized exponential Taylor's law is equivalent to the search of the cumulant generating function corresponding to the substrate distribution function. We have found and analysed a set of solutions corresponding to the Tweedie distribution and different functional responses as well as shown that finite samples of patches lead to the asymptotical Malthusian growth, the parameters of which are found analytically. The work is supported by the Ministry of Education and Science, project 3.9499.2017/8.9.