A Mathematical Model with Modified Logistic Approach for SinglyPeaked Population Processes
Abstract
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.
 Publication:

arXiv eprints
 Pub Date:
 January 1999
 DOI:
 10.48550/arXiv.adaporg/9901005
 arXiv:
 arXiv:adaporg/9901005
 Bibcode:
 1999adap.org..1005H
 Keywords:

 Adaptation;
 Noise;
 and SelfOrganizing Systems;
 Nonlinear Sciences  Adaptation and SelfOrganizing Systems;
 Quantitative Biology
 EPrint:
 16 pages, LaTeX, 5 figures