Abstract
This paper considers a model of foodwebs taking into account species extinction and invasion. We show that system stability depends not only on usual parameters (mortality rates, self-limitation coefficients, and resource abundances), but also on an additional parameter (“biodiversity potential”). The main result is as follows. For foodwebs with random parameters, we obtain an estimate of probability that the foodweb exposed to invasion survives. This estimate involves different system parameters, size and its topological properties.
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Acknowledgments
We are grateful to referees for interesting comments and remarks. The second author was financially supported by Linkoping University, in part by Government of Russian Federation, Grant 074-U01 and by Grant 16-01-00648 of Russian Fund of Basic Research.
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Kozlov, V., Vakulenko, S. & Wennergren, U. Stability of Ecosystems Under Invasions. Bull Math Biol 78, 2186–2211 (2016). https://doi.org/10.1007/s11538-016-0216-7
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DOI: https://doi.org/10.1007/s11538-016-0216-7