English

Analysis of a fractional order eco-epidemiological model with prey infection and type II functional response

Dynamical Systems 2019-06-05 v1

Abstract

In this paper, we introduce fractional order into an ecoepidemiological model, where predator consumes disproportionately large number of infected preys following type II response function. We prove different mathematical results like existence, uniqueness, non-negativity and boundedness of the solutions of fractional order system. We also prove the local and global stability of different equilibrium points of the system. The results are illustrated with several examples.

Keywords

Cite

@article{arxiv.1906.01226,
  title  = {Analysis of a fractional order eco-epidemiological model with prey infection and type II functional response},
  author = {Shuvojit Mondal and Abhijit Lahiri and Nandadulal Bairagi},
  journal= {arXiv preprint arXiv:1906.01226},
  year   = {2019}
}