arXiv subjects

Abhijit Lahiri

Publications and source records attributed to Abhijit Lahiri.

2 recordsLinked to original sources

arXiv2019

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 computational results show that accurate solution may be obtained with few iterations.

math.DS↗

arXiv2019

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

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.

math.DS↗