9 citations · 17 across the 10 of their papers we have counts for
10 papers
On the stability of fractional order Leslie-Gower type model with non-monotone functional response of intermediate predator
Shuvojit Mondal, Nandadulal Bairagi
In this paper, an attempt is made to understand the dynamics of a fractional order three species Leslie-Gower predator prey food chain model with simplified Holling type IV functio…
Multimodal distribution of transient time of predator extinction in a three-species food chain
Debarghya Pattanayak, Arindam Mishra, Syamal K. Dana +1
Studies of transient dynamics captures the time history of any dramatic changes in the dynamics of a system. The transient dynamics is investigated here in a classic ecological mod…
Study of a Discretized Fractional-order eco-epidemiological model with prey infection
Shuvojit Mondal, Xianbing Cao, Nandadulal Bairagi
In this paper, an attempt is made to understand the dynamics of a three-dimensional discrete fractional-order eco-epidemiological model with Holling type II functional response. We…
Infection spreading and recovery in a square lattice
Suman Saha, Arindam Mishra, Syamal K. Dana +2
We investigate spreading and recovery of disease in a square lattice, and in particular, emphasize the role of the initial distribution of infected patches in the network, on the p…
Dynamics of vertically and horizontally transmitted parasites: Continuous vs Discrete Models
Priyanka Saha, Nandadulal Bairagi
In this paper we analyze a continuous-time epidemic model and its discrete counterpart, where infection spreads both horizontally and vertically. We consider three cases: model wit…
On the Dynamic Consistency of a Discrete Predator-Prey Model
Priyanka Saha, Nandadulal Bairagi, Milan Biswas
We here discretize a predator-prey model by standard Euler forward method and non-standard finite difference method and then compare their dynamic properties with the corresponding…
Analysis of a fractional order eco-epidemiological model with prey infection and type II functional response
Shuvojit Mondal, Abhijit Lahiri, Nandadulal Bairagi
In this paper, we introduce fractional order into an ecoepidemiological model, where predator consumes disproportionately large number of infected preys following type II response…
Local and global dynamics of a fractional-order predator-prey system with habitat complexity and the corresponding discretized fractional-order system
Shuvojit Mondal, Milan Biswas, Nandadulal Bairagi
This paper is focused on local and global stability of a fractional-order predator-prey model with habitat complexity constructed in the Caputo sense and corresponding discrete fra…
A fractional calculus approach to Rosenzweig-MacArthur predator-prey model and its solution
Shuvojit Mondal, Nandadulal Bairagi, Abhijit Lahiri
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 h…
Global stability of a Leslie-Gower-type fractional order tritrophic food chain model
Shuvojit Mondal, Nandadulal Bairagi, Gaston M. N'Guerekata
Recently, the dynamical behaviors of a fractional order three species food chain model was studied by Alidousti and Ghahfarokhi ({\it Nonlinear Dynamics, doi: org/10.1007/s11071-01…