论文信息 - Fuzzy differential inclusions as substitutes for stochastic differential equations in population biology

Fuzzy differential inclusions as substitutes for stochastic differential equations in population biology

The familiar procedure of adding white noise to deterministic systems of equations may not be appropriate or even possible in some modelling problems arising in the biological sciences. Although some mathematical handle on indeterminant factors (i.e. “noise”) may be necessary, sometimes the probabilistic requirements involved cannot be rigorously verified for the data set in hand. As an alternative, we discuss here the modelling utility of fuzzy differential inclusions associated with given systems of nonlinear ODE's. We give concrete examples and give account of the conservative stochastic mechanics of E. Nelson applied to growth of a dimorphic clone, and its fuzzy differential inclusion analogue.

Vlastimil Křivan | V. Křivan | P. Antonelli | Peter L. Antonelli

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