Periodic harvesting of renewable resources subjected to additive Allee effect

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Published: Nov 13, 2017

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Birku Demewoz Misganaw
University of Gondar

Abstract

Abstract. Allee effect refers to a reduction in individual tness at low
population density that can lead to extinction [1] Allee effect occurs whenever
fitness of an individual in a small or sparse population decreases as the
population size or density also declines [1], [2]. Bio-economics of renewable
resource in seasonally varying environment has been presented in [3]. In this
article we analyze a logistic model with Allee effect in proportionate periodic
harvesting also we study the bioeconomics of a renewable resources subject
to additive Allee effect. The Pontryagin maximum principle has been employedto solve the considered optimal harvesting problem [4].

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How to Cite
Misganaw, B. D. (2017). Periodic harvesting of renewable resources subjected to additive Allee effect. Journal of Global Research in Mathematical Archives(JGRMA), 4(11), 01–04. Retrieved from https://www.jgrma.com/index.php/jgrma/article/view/275
Issue
Vol. 4 No. 11 (2017): November-2017
Section
Research Paper

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Author Biography

Birku Demewoz Misganaw, University of Gondar

University of Gondar

College of Natural and Computational Sciences

Department of Mathematics

References

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Pontryagin, L.S.Bol'tyankii, V.G.Gamkrelidge, R.V. and Mishchenko,

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