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In many fields of scientific endeavor a careful scrutiny of the situation being investigated may suggest a formalized analytic structure or, as it is usually referred to, a mathematical model, for the description of the given system. To a degree, depending on the complexity of the problem, a model may be thought of as an idealized image constructed upon directly or indirectly observed elements of the system and a set of assumptions encompassing all of its pertinent aspects. A model may be purely deterministic or probabilistic, or it may involve both deterministic and probabilistic elements. Briefly, a deterministic model may be said to lead to a unique prediction of the state of a given system, whereas a probabilistic (or stochastic) model incorporates chance fluctuations of the system and consequently allows for a prediction in terms of a probability statement. Experience indicates that the problem of constructing a plausible model for a biological system or for a population consisting of biological organisms is quite complex.
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