A Theoretical Approach to the Dynamics of Single Populations
Although a large part of mathematical ecology, the theory of competition in particular, rests upon models of growth of single populations, the theoretical foundations of this class of models are rather weak. Their logical status in the whole theory tends to be that of “primitive objects”. Almost the sole constraint for them is that they should express in a simple way the basic property of natural populations, namely self regulation through density dependent factors (Wangersky, 1978). Thus, single population models are not themselves the product of a logical sequence from more basic principles, rooted in the several branches of the biology of single organisms such as physiology and ethology. The pathways which where opened in this direction at the origin of mathematical ecology (e.g. Volterra, 1938, 1939; Kostitzin, 1940a, b) seem abandoned.
KeywordsConsumer Population Individual Biomass Mathematical Ecology Consumer Species Density Dependent Factor
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