Volume 2 Number 3 (May 2012)
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IJAPM 2012 Vol.2(3): 175-178 ISSN:2010-362X
DOI: 10.7763/IJAPM.2012.V2.81

Harvesting in a Periodic Habitat with Allee Effect

Fatma Bayramoğlu Rizaner and Svitlana P. Rogovchenko

Abstract—The dynamics of a harvested single species that goes extinct when rare is described by a nonlinear differential equation &where r, K, A and h are positive continuous T-periodic functions. N is the population size, A (0 < A < K) is the threshold population size below which N < 0 due to Allee effect, r is the intrinsic growth rate and K is the carrying capacity of the environment and h is the harvesting. The aim of this paper is to study the existence of periodic solutions and their stability properties. We discuss the effect of harvesting on a single species population in a fluctuating environment whose dynamics is described by a nonlinear differential equation.

Index Terms—Nonlinear differential equation; Allee Effect; periodic solutions; stability; existence; harvesting; positive solutions.

F. B. Rizaner and S. P. Rogovchenko are with Eastern Mediterranean University, Dep. of Mathematics, Famagusta, TRNC, Mersin 10, Turkey (e-mail: fatma.bayramoglu@emu.edu.tr).

 

Cite: Fatma Bayramoğlu Rizaner and Svitlana P. Rogovchenko, "Harvesting in a Periodic Habitat with Allee Effect," International Journal of Applied Physics and Mathematics  vol. 2, no. 3, pp. 175-178, 2012.

General Information

ISSN: 2010-362X
Frequency: Bimonthly (2011-2014); Quarterly (Since 2015)
DOI: 10.17706/IJAPM
Editor-in-Chief: Prof. Haydar Akca
Abstracting/ Indexing: Index Copernicus, EI (INSPEC, IET), Chemical Abstracts Services (CAS), Electronic Journals Library, Nanowerk Database, Google Scholar, EBSCO, and ProQuest
E-mail: ijapm@iap.org
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