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Dr. B. Krithika

Assistant Professor, Department of Science and Humanities, School of Engineering, Chennai

Qualification: BSc, M.Phil, MSc, Ph.D
b_krithika@ch.amrita.edu
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Google Scholar Profile
Research Interest: Mathematical modelling ,Dynamical systems , Stability and bifurcation analysis , Fractional-order systems , Mathematical Epidemiology and Oncology ,Systems biology

Bio Publications Qualifications Appointments Awards Workshops Technical Profile
Bio

Dr. B. Krithika currently serves as Assistant Professor in the Department of Science and Humanities, School of Engineering, Chennai Campus.

She earned her Ph.D. in Mathematics from Amrita Vishwa Vidyapeetham, Ettimadai, Coimbatore, where her research focused on the stability and bifurcation analysis of certain biological systems. Her academic and research interests lie at the mathematical modelling of epidemics and other biological systems. Moreover, She has published 3+Research Articles in Peer-reviewed International Journals (SCI, SCIE, and Scopus indexed journal). In addition to that, she has attended various International and National Conferences, Workshops, and Training Programs.

Publications

Journal Article

Year : 2025

Temporal dynamics of immunity: modeling susceptibility delay in antibody-shielded populations

Cite this Research Publication : B. Krithika, P. Tamilalagan, Temporal dynamics of immunity: modeling susceptibility delay in antibody-shielded populations, Mathematical Modelling and Numerical Simulation with Applications, Mathematical Modelling and Numerical Simulation with Applications, 2025, https://doi.org/10.53391/mmnsa.1567457

Publisher : Mathematical Modelling and Numerical Simulation with Applications

Year : 2024

Exploring tumor-induced immunosuppression dynamics by myeloid-derived suppressor cells: insights via a fractional-order mathematical model

Cite this Research Publication : B. Krithika, P. Tamilalagan, Exploring tumor-induced immunosuppression dynamics by myeloid-derived suppressor cells: insights via a fractional-order mathematical model, The European Physical Journal Special Topics, Springer Science and Business Media LLC, 2024, https://doi.org/10.1140/epjs/s11734-024-01260-w

Publisher : Springer Science and Business Media LLC

Year : 2023

Unveiling the spread of epidemics involving partial immunity and reinfection: insights from a time-delayed mathematical model

Cite this Research Publication : B. Krithika, P. Tamilalagan, Unveiling the spread of epidemics involving partial immunity and reinfection: insights from a time-delayed mathematical model, The European Physical Journal Special Topics, Springer Science and Business Media LLC, 2023, https://doi.org/10.1140/epjs/s11734-023-00995-2

Publisher : Springer Science and Business Media LLC

Year : 2023

Is reinfection negligible effect in COVID‐19? A mathematical study on the effects of reinfection in COVID‐19

Cite this Research Publication : P. Tamilalagan, B. Krithika, P. Manivannan, S. Karthiga, Is reinfection negligible effect in COVID‐19? A mathematical study on the effects of reinfection in COVID‐19, Mathematical Methods in the Applied Sciences, Wiley, 2023, https://doi.org/10.1002/mma.9614

Publisher : Wiley

Qualifications
2020 – 2025 Ph.D.

Amrita Vishwa Vidyapeetham, Ettimadai, Coimbatore.

Dissertation Title: “Studies on stability and bifurcation analysis of certain biological systems: A mathematical case study with real-time data.”
2019 – 2020 M. Phil. 

The Gandhigram Rural Institute.

Dissertation Title: Robust stability and synchronization for a class of delayed fractional-order gene regulatory networks.
2017 – 2019 M. Sc Mathematics

Bharathiar University, Coimbatore.
2014 – 2017 B. Sc Mathematics

Kongunadu arts and science college, Coimbatore.
Appointments
Dec 2025 to Present Assistant Professor, Department of Science and Humanities,Amrita School of Engineering, Chennai Campus.
Dec 2022 to Nov 2023 Senior Research Fellow at the School of Physical Sciences, Amrita Vishwa Vidyapeetham, Coimbatore.

A research project on “Studies on single and multi-valued fractional stochastic differential equations of higher-order” funded by National Board for Higher Mathematics.
Dec 2020 to Nov 2022 Junior Research Fellow at the School of Physical Sciences, Amrita Vishwa Vidyapeetham, Coimbatore.

A research project on “Studies on single and multi-valued fractional stochastic differential equations of higher-order” funded by National Board for Higher Mathematics.
Awards
  • Second rank holder in under graduate degree (B.Sc. Mathematics).
  • Honours Diploma in Computer Applications (HDCA)
Workshops
  • Attended international conference on advances in applied mathematics (ICAAM) held at The Gandhigram rural institute in the year 2019.
  • Attended international conference on mathematical modelling in science and engineering at the gandhigram rural institute in the year 2020.
  • Attended national level workshop on Algebra at bharathiar university in the year 2018.
  • Attended national level workshop on complex analysis at bharathiar university in the year 2018.
  • Presented a paper titled “Robust stability analysis for a class of time-lag fractional-order gene regulatory networks” in the international conference held at The Gandhigram Rural Institute.
  • Presented a paper titled “Exploring Tumor-Induced Immunosuppression dynamics by Myeloid-Derived Suppressor Cells: Insights via a fractional order mathematical model ” in the international conference held at Vellore Institute of Technology.
Technical Profile

Technical Skills

  • C
  • C++
  • MS Office
  • Matlab
  • LATEX
  • Maple
  • R programming language
  • Wolfram Mathematica
  • Julia programming language

Coursera Courses Completed

  • Developing the SIR model conducted by Imperial college, London.
  • Interventions and calibrations conducted by Imperial college, London.
  • Infectious disease modelling course conducted by Imperial college, London.

NPTEL Courses Completed

  • Functional Analysis.
  • Introduction to dynamical systems in biology.
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