Persistence and Global Stability in a Population Model

Author: Gopalsamy K.   Webb P.G.F.  

Publisher: Academic Press

ISSN: 0022-247X

Source: Journal of Mathematical Analysis and Applications, Vol.224, Iss.1, 1998-08, pp. : 59-80

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Abstract

A difference equation modelling the dynamics of a population undergoing a density-dependent harvesting is considered. A sufficient condition is established for all positive solutions of the corresponding discrete dynamic system to converge eventually to the positive equilibrium. Elementary methods of differential calculus are used. The result of this article provides a generalization of a result known for a simpler special model with no harvesting. Copyright 1998 Academic Press.