Abstract
A few instances of current biocybernetical problems are thoroughly investigated to shed some light on the more general problem related to the dynamics of complex interactive systems subject to random perturbations. The validity of a conjecture on the persistence of a population in a randomly varying environment is proved for a wide class of models described by first order stochastic differential equations.
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References
M. W. Feldman and J. Roughgarden, “A Populations Stationary Distribution and Chance of Extinction with Remarks on the Theory of Species Packing” Theor. Pop. Biol. 7, 197–207 (1975).
A. H. Jazwinski, Stochastic Processes and Filtering Theory (Academic Press, New York, N.Y., 1970).
R. M. May, Stability and Complexity in Model Ecosystems (Princeton University Press. Princeton, N. J., 1973).
L. M. Ricciardi, Diffusion Processes and Related Topics in Biology (Springer-Verlag. Berlin, 1977).
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© 1978 The World Organisation of General Systems and Cybernetics
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Capocelli, R.M., Ricciardi, L.M. (1978). A Cybernetic Approach to Population Dynamics Modeling. In: Rose, J. (eds) Current Topics in Cybernetics and Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93104-8_197
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DOI: https://doi.org/10.1007/978-3-642-93104-8_197
Publisher Name: Springer, Berlin, Heidelberg
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