Rikhiya Dhar

@bppimt.ac.in

Assistant Professor; Department of mathematics
B. P. Poddar Institute of management and technology

Rikhiya Dhar


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https://researchid.co/rikhiya.dhar
5

Scopus Publications

88

Scholar Citations

5

Scholar h-index

3

Scholar i10-index

Scopus Publications

  • THE ROLE of ADDITIONAL FOOD in A PREDATOR-PREY MODEL with A PREY REFUGE
    SUDIP SAMANTA, RIKHIYA DHAR, IBRAHIM M. ELMOJTABA, JOYDEV CHATTOPADHYAY
    Journal of Biological Systems, 2016
    In this paper, we propose and analyze a predator–prey model with a prey refuge and additional food for predators. We study the impact of a prey refuge on the stability dynamics, when a constant proportion or a constant number of prey moves to the refuge area. The system dynamics are studied using both analytical and numerical techniques. We observe that the prey refuge can replace the predator–prey oscillations by a stable equilibrium if the refuge size crosses a threshold value. It is also observed that, if the refuge size is very high, then the extinction of the predator population is certain. Further, we observe that enhancement of additional food for predators prevents the extinction of the predator and also replaces the stable limit cycle with a stable equilibrium. Our results suggest that additional food for the predators enhances the stability and persistence of the system. Extensive numerical experiments are performed to illustrate our analytical findings.
  • Role of delay in a predator-prey model with prey infected through external source and contact of the species
    Nonlinear Studies, 2014
  • Effect of enrichment on plankton dynamics where phytoplankton can be infected from free viruses
    Nonlinear Studies, 2013
  • Analytical study on optimal distribution of heating power in hyperthermia
    Piyanka Dhar, Rikhiya Dhar, Ranajit Dhar
    International Communications in Heat and Mass Transfer, 2012
  • Analytical study on optimization problem in hyperthermia by controlling heating probe at tumour and surface cooling temperature
    Applied Mathematical Sciences, 2012

RECENT SCHOLAR PUBLICATIONS

  • The role of additional food in a predator–prey model with a prey refuge
    S Samanta, R Dhar, IM Elmojtaba, J Chattopadhyay
    Journal of Biological Systems 24 (02n03), 345-365 , 2016
    2016.0
    Citations: 41
  • Role of delay in a predator-prey model with prey infected through external source and contact of the species.
    R Dhar, S Sen, J Chattopadhyay
    Nonlinear Studies 21 (3) , 2014
    2014.0
  • Optimal Control Problems in Hyperthermia
    R Dhar, P Dhar, R Dhar
    (No Title) , 2014
    2014.0
  • Effect of enrichment on plankton dynamics where phytoplankton can be infected from free viruses.
    S Samanta, R Dhar, J Pal, J Chattopadhyay
    Nonlinear Studies 20 (2) , 2013
    2013.0
    Citations: 12
  • Analytical study on optimal distribution of heating power in hyperthermia
    P Dhar, R Dhar, R Dhar
    International communications in heat and mass transfer 39 (3), 419-423 , 2012
    2012.0
    Citations: 11
  • An optimal control problem on temperature distribution in tissue by induced microwave
    P Dhar, R Dhar, R Dhar
    Adv. Appl. Math. Biosciences 2 (1), 27-38 , 2011
    2011.0
    Citations: 3
  • Optimization of temperature distribution in tissue by microwave induced heating power
    P Dhar, R Dhar, R Dhar
    Annals of academy of Romanian Scientists, Series of Science and Technology … , 2011
    2011.0
    Citations: 1
  • Problem on optimal distribution of induced microwave by heating probe at tumour site in hyperthermia
    R Dhar, P Dhar, R Dhar
    Advanced modeling and optimization 13 (1), 39-48 , 2011
    2011.0
    Citations: 8
  • A short review of analytical studies in hyperthermia
    P Dhar, R Dhar, R Dhar
    Vidyasagar University, Midnapore, West-Bengal, India , 2011
    2011.0
    Citations: 2
  • Optimal Control problem in hyperthermia by heating probe
    P Dhar, R Dhar, R Dhar
    Vidyasagar University, Midnapore, West-Bengal, India , 2010
    2010.0
    Citations: 1
  • An analytical study of temperature control in hyperthermia by microwave
    P Dhar, R Dhar, R Dhar
    Vidyasagar University, Midnapore, West-Bengal, India , 2009
    2009.0
    Citations: 9
  • An Optimal Control Problem on Air Pollution Due to Emission From Moving Vehicle on Road
    R Dhar, R Dhar
    Vidyasagar University, Midnapore, West-Bengal, India , 2008
    2008.0
  • Role of delay in a predator-prey model with prey infected through external source and contact of the species
    K pada Das, R Dhar, S Sen, J Chattopadhyay, M Mahavidyalaya
  • Role of the inducible defenses of Zooplankton against Toxin released by Toxin producing Phytoplankton-Model based studies
    R Dhar
    Kolkata , 0

MOST CITED SCHOLAR PUBLICATIONS

  • The role of additional food in a predator–prey model with a prey refuge
    S Samanta, R Dhar, IM Elmojtaba, J Chattopadhyay
    Journal of Biological Systems 24 (02n03), 345-365 , 2016
    2016.0
    Citations: 41
  • Effect of enrichment on plankton dynamics where phytoplankton can be infected from free viruses.
    S Samanta, R Dhar, J Pal, J Chattopadhyay
    Nonlinear Studies 20 (2) , 2013
    2013.0
    Citations: 12
  • Analytical study on optimal distribution of heating power in hyperthermia
    P Dhar, R Dhar, R Dhar
    International communications in heat and mass transfer 39 (3), 419-423 , 2012
    2012.0
    Citations: 11
  • An analytical study of temperature control in hyperthermia by microwave
    P Dhar, R Dhar, R Dhar
    Vidyasagar University, Midnapore, West-Bengal, India , 2009
    2009.0
    Citations: 9
  • Problem on optimal distribution of induced microwave by heating probe at tumour site in hyperthermia
    R Dhar, P Dhar, R Dhar
    Advanced modeling and optimization 13 (1), 39-48 , 2011
    2011.0
    Citations: 8
  • An optimal control problem on temperature distribution in tissue by induced microwave
    P Dhar, R Dhar, R Dhar
    Adv. Appl. Math. Biosciences 2 (1), 27-38 , 2011
    2011.0
    Citations: 3
  • A short review of analytical studies in hyperthermia
    P Dhar, R Dhar, R Dhar
    Vidyasagar University, Midnapore, West-Bengal, India , 2011
    2011.0
    Citations: 2
  • Optimization of temperature distribution in tissue by microwave induced heating power
    P Dhar, R Dhar, R Dhar
    Annals of academy of Romanian Scientists, Series of Science and Technology … , 2011
    2011.0
    Citations: 1
  • Optimal Control problem in hyperthermia by heating probe
    P Dhar, R Dhar, R Dhar
    Vidyasagar University, Midnapore, West-Bengal, India , 2010
    2010.0
    Citations: 1
  • Role of delay in a predator-prey model with prey infected through external source and contact of the species.
    R Dhar, S Sen, J Chattopadhyay
    Nonlinear Studies 21 (3) , 2014
    2014.0
  • Optimal Control Problems in Hyperthermia
    R Dhar, P Dhar, R Dhar
    (No Title) , 2014
    2014.0
  • An Optimal Control Problem on Air Pollution Due to Emission From Moving Vehicle on Road
    R Dhar, R Dhar
    Vidyasagar University, Midnapore, West-Bengal, India , 2008
    2008.0
  • Role of delay in a predator-prey model with prey infected through external source and contact of the species
    K pada Das, R Dhar, S Sen, J Chattopadhyay, M Mahavidyalaya
  • Role of the inducible defenses of Zooplankton against Toxin released by Toxin producing Phytoplankton-Model based studies
    R Dhar
    Kolkata , 0