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Competing Neutral Populations of Different Diffusivity

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Extended Abstracts Spring 2014

Part of the book series: Trends in Mathematics ((RPCRMB,volume 4))

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Abstract

The possibility of moving in space is fundamental for the survival of many biological organisms. While movement patterns can sometimes be complex, reflecting evolutionary strategies to search for food, in many settings movement can be mathematically described as Brownian motion. Macroscopically, this leads to a description in terms of a diffusion equation, or a Fisher equation [2, 3] if birth-death dynamics is also taken into account.

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References

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Acknowledgements

I thank Roberto Benzi, David Nelson, Prasad Perlekar, Mogens H. Jensen and Federico Toschi for a fruitful collaboration.

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Correspondence to Simone Pigolotti .

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Pigolotti, S. (2015). Competing Neutral Populations of Different Diffusivity. In: Corbera, M., Cors, J., Llibre, J., Korobeinikov, A. (eds) Extended Abstracts Spring 2014. Trends in Mathematics(), vol 4. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-22129-8_24

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