Maximal sustainable yield in a multipatch habitat

Igor Nazarov; Bai-Lian Li

doi:10.3934/proc.2005.2005.682

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2005, Volume 2005: 682-691. Doi: 10.3934/proc.2005.2005.682 open access

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Maximal sustainable yield in a multipatch habitat

Igor Nazarov¹ and
Bai-Lian Li^2,

1.
Department of Mathematics, Michigan State University, East Lansing, MI 48824
2.
Ecological Complexity and Modeling Laboratory, Department of Botany and Plant Sciences, University of California, Riverside, CA 92521-0124

Received: August 31, 2004

Revised: March 31, 2005

Published: August 2005

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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.

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Mathematics Subject Classification: Primary:92D25 ; Secondary: 70K20.

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