Maximal sustainable yield in a multipatch habitat

Pages: 682 - 691, Issue Special, August 2005

 Abstract        Full Text (149.8K)              

Igor Nazarov - Department of Mathematics, Michigan State University, East Lansing, MI 48824, United States (email)
Bai-Lian Li - Ecological Complexity and Modeling Laboratory, Department of Botany and Plant Sciences, University of California, Riverside, CA 92521-0124, United States (email)

Abstract: We have considered a generalized $n$-patch model of harvesting population dynamics with continuous and discrete time. The main result is the condition when parameters which maximize the total ’stationary’ yield also have to stabilize the stationary point, in order to produce and maintain sustainable yield. Conditions when reserves or no-take areas are needed to increase the yield are derived.

Keywords:  Harvesting, maximal sustainable yield, multipatch habitat, population dynamics.
Mathematics Subject Classification:  Primary:92D25 ; Secondary: 70K20.

Received: September 2004;      Revised: April 2005;      Published: September 2005.