  When a small number of individuals of organism of single species is confined
in a closed space with limited amount of indispensable resources, their
breading may start initially under suitable conditions, and after peaking, the
population should go extinct as the resources are exhausted. Starting with the
logistic equation and assuming that the carrying capacity of the environment is
a function of the amount of resources, a mathematical model describing such
pattern of population change is obtained. An application of this model to
typical population records, that of deer herds by Scheffer (1951) and O'Roke
and Hamerstrome (1948), yields estimations of the initial amount of
indispensable food and its availability or nutritional efficiency which were
previously unspecified.
