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Theoretical Modelling in Biology (G0G41A ) Pt II. Numerical Models III. Spatial models

Theoretical Modelling in Biology (G0G41A ) Pt II. Numerical Models III. Spatial models. Joost Vanoverbeke Dept. of Biology, K.U.Leuven. Spatial models. Inclusion of heterogeneous environment Example: hetrogeneous distribution of carrying capacity K

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Theoretical Modelling in Biology (G0G41A ) Pt II. Numerical Models III. Spatial models

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  1. Theoretical Modelling in Biology (G0G41A )Pt II. Numerical ModelsIII. Spatial models Joost Vanoverbeke Dept. of Biology, K.U.Leuven

  2. Spatial models • Inclusion of heterogeneous environment • Example: hetrogeneous distribution of carrying capacity K • Inclusion of heterogeneous species distribution • Population size N dependent on location • Positioning of individual in space • ‘Movement’ • Movement of individuals • Dispersal of fraction of a population

  3. Example: spatial predator-prey model • Grid of environmental patches • Continuous predator-prey model within each patch • Dispersal of predator and prey between patches • Linear with density • mpreyN • mpredP

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