A fractional calculus approach to Rosenzweig-MacArthur predator-prey model and its solution

In this paper we present analytical solution of a fractional order predator-prey model, where prey grows logistically and predation occurs following type II response function, by homotopy perturbation method. Numerical solutions are presented to illustrate different particular cases. Our computation...

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Bibliographic Details
Published inJournal of Modern Methods in Numerical Mathematics Vol. 8; no. 1-2; p. 66
Main Authors Mondal, Shuvojit, Bairagi, Nandadulal, Lahiri, Abhijit
Format Journal Article
LanguageEnglish
Published 16.09.2017
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Summary:In this paper we present analytical solution of a fractional order predator-prey model, where prey grows logistically and predation occurs following type II response function, by homotopy perturbation method. Numerical solutions are presented to illustrate different particular cases. Our computational results show that accurate solution may be obtained with few iterations.
ISSN:2090-8296
2090-4770
DOI:10.20454/jmmnm.2017.1097