American Institute of Mathematical Sciences

Advanced
2005, 2005(Special): 682-691. doi: 10.3934/proc.2005.2005.682

Maximal sustainable yield in a multipatch habitat

Igor Nazarov 1, and  Bai-Lian Li 2,

1. 

Department of Mathematics, Michigan State University, East Lansing, MI 48824, United States
2. 

Ecological Complexity and Modeling Laboratory, Department of Botany and Plant Sciences, University of California, Riverside, CA 92521-0124

Received  September 2004 Revised  April 2005 Published  September 2005

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, population dynamics., multipatch habitat, maximal sustainable yield.
Mathematics Subject Classification: Primary:92D25 ; Secondary: 70K2.
Citation: Igor Nazarov, Bai-Lian Li. Maximal sustainable yield in a multipatch habitat. Conference Publications, 2005, 2005 (Special) : 682-691. doi: 10.3934/proc.2005.2005.682
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