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Qualitative theory of stochastic dynamical systems—Applications to life sciences (1983)

Kliemann, Wolfgang

Springer

Bulletin of mathematical biology 45 (1983), S. 483-506

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ISSN: 1522-9602

Source: Springer Online Journal Archives 1860-2000

Topics: Biology , Mathematics

Notes: Abstract Qualitative theory for multidimensional stochastic dynamical models $$\dot x = f(x, \xi )$$ is presented where the random influences ξ may be white or colored, i.e. a (possibly bounded) diffusion process. We concentrate on transience, stationary solutions and boundary behavior and discuss a set-up for reliable simulations. The method consists in associating a deterministic control system where the (approximate) controllability properties determine the qualitative behavior of the stochastic system. Applications to some biological systems indicate the usefulness of qualitative theory in life sciences.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02459584

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