English

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

Dynamical Systems 2019-06-05 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1906.01192,
  title  = {A fractional calculus approach to Rosenzweig-MacArthur predator-prey model and its solution},
  author = {Shuvojit Mondal and Nandadulal Bairagi and Abhijit Lahiri},
  journal= {arXiv preprint arXiv:1906.01192},
  year   = {2019}
}