Accession Number : AD0787736

Title :   Constant Rate Population Harvesting: Equilibrium and Stability.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Brauer,Fred ; Sanchez,David A.

Report Date : JUL 1974

Pagination or Media Count : 37

Abstract : The paper studies the effect of constant rate harvesting on population models described by ordinary differential equations. The dependence of limits on populations on the harvest rate, the possibility of extinction in finite time, and the effect of the introduction of a time-lag delay on stability are studied. Various models for one population are analysed, and a geometric technique for the study of two-population models is discussed. (Author)

Descriptors :   *STATISTICAL ANALYSIS, *POPULATION, *GROWTH(GENERAL), MATHEMATICAL MODELS, INEQUALITIES, STABILITY, TIME LAG THEORY

Subject Categories : Biology
      Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE