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Dr. Sangeeta Kumari

Assistant Professor, Department of Mathematics, School of Physical Sciences, Coimbatore

Qualification: MPhil, MSc, Ph.D
k_sangeeta@cb.amrita.edu
ORCID Profile
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Scopus ID
Research Interest: E-Epidemiological Modelling, Mathematical Ecology, Mathematical Modelling, Stability and bifurcation Analysis

Bio Publications Academic Qualifications Professional Experience Research Guidance PG / UG Projects Guided Awards & Recognitions Invited Talks / Keynote Lectures Teaching
Bio

Dr. Sangeeta Kumari currently serving as Assistant Professor, Department of Mathematics, School of Physical Sciences, Amrita Vishwa Vidyapeetham, Coimbatore, since July 2021. Her areas of research include Dynamical System, Mathematical Modelling, Mathematical Ecology, Nonlinear Analysis, e-Epidemiological Modelling. Earlier, she earned her Ph.D. from the Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, India. The title of her Ph.D. thesis was “Dynamical studies of malware propagation models in wireless sensor network: An epidemic approach”. She has published several research papers in reputed SCI/SCIE indexed journals.

Publications

Journal Article

Year : 2026

A mathematical model for deciphering the impact of obesity on diabetes

Cite this Research Publication : Parimita Roy, Sangeeta Kumari, Ani Jain, Jasmeen Kaur, A mathematical model for deciphering the impact of obesity on diabetes, Franklin Open, Elsevier BV, 2026, https://doi.org/10.1016/j.fraope.2026.100505

Publisher : Elsevier BV

Year : 2025

Exploring the Dynamics of a Model for HIV Infection Featuring Dual Time Delays

Cite this Research Publication : Sangeeta Kumari, Parimita Roy, Exploring the Dynamics of a Model for HIV Infection Featuring Dual Time Delays, Journal of Applied Nonlinear Dynamics, L and H Scientific Publishing, LLC, 2025, https://doi.org/10.5890/jand.2025.09.007

Publisher : L and H Scientific Publishing, LLC

Year : 2025

Impact of cross-diffusion and Allee effect on modified Leslie–Gower model

Cite this Research Publication : Sidharth Menon, Sangeeta Kumari, Impact of cross-diffusion and Allee effect on modified Leslie–Gower model, Mathematics and Computers in Simulation, Elsevier BV, 2025, https://doi.org/10.1016/j.matcom.2025.03.031

Publisher : Elsevier BV

Year : 2025

Dynamical system of quokka population depicting Fennecaphobia by Vulpes vulpes

Cite this Research Publication : Sangeeta Kumari, , Sidharth Menon, Abhirami K, Dynamical system of quokka population depicting Fennecaphobia by Vulpes vulpes, Mathematical Biosciences and Engineering, American Institute of Mathematical Sciences (AIMS), 2025, https://doi.org/10.3934/mbe.2025050

Publisher : American Institute of Mathematical Sciences (AIMS)

Year : 2021

Exploring the Dynamics of a Malware Propagation Model and Its Control Strategy

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Publisher : Springer US

Year : 2021

Exploring the behavior of malware propagation on mobile wireless sensor networks: Stability and control analysis

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Publisher : North-Holland

Year : 2020

Exploring the delayed and optimally controlled dynamics of malicious objects in computer network

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Publisher : Nova Science Publishers

Year : 2020

Parametric excitation and Hopf bifurcation analysis of a time delayed nonlinear feedback oscillator

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Publisher : Springer India

Year : 2019

Delay dynamics of worm propagation model with non-linear incidence rates in wireless sensor network

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Publisher : Zhejiang University (Science Edition)

Year : 2019

Virus dynamics of a distributed attack on a targeted network: Effect of firewall and optimal control

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Publisher : Elsevier

Year : 2019

A delayed e-epidemic SLBS model for computer virus

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Publisher : Springer

Year : 2019

Discrete and data packet delays as determinants of switching stability in wireless sensor networks

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Publisher : Elsevier

Year : 2019

Dynamics of an SEIR epidemic model with nonlinear incidence and treatment rates

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Publisher : Nonlinear Dynamics

Year : 2018

Global Stability of Worm Propagation Model with Nonlinear Incidence Rate in Computer Network

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Publisher : International Journal of Network Security

Year : 2018

Salton Sea: An Ecosystem in Crisis

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Publisher : World Scientific Publishing Company

Year : 2018

Detecting malicious chaotic signals in wireless sensor network

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Publisher : North-Holland

Year : 2018

Bifurcation analysis of an e-epidemic model in wireless sensor network

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Publisher : International Journal of Computer Mathematics

Year : 2017

Modeling the virus dynamics in computer network with SVEIR model and nonlinear incident rate

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Publisher : Journal of Applied Mathematics and Computing

Year : 2016

Identifying clues to molecular etiology of multiple sclerosis in South Indian patients

Cite this Research Publication : D. Joseph and Kumar, S., “Identifying clues to molecular etiology of multiple sclerosis in South Indian patients”, Multiple Sclerosis and Related Disorders, vol. 5, pp. 7-11, 2016.

Publisher : Multiple Sclerosis and Related Disorders

Year : 2012

Design of Stream cipher for text encryption using soft computing based techniques

Cite this Research Publication : S. Santhanalakshmi, Sangeeta, K., and Patra, G. K., “Design of Stream cipher for text encryption using soft computing based techniques”, IJCSNS International Journal of Computer Science and Network Security, vol. 12, pp. 149–152, 2012.

Publisher : IJCSNS International Journal of Computer Science and Network Security

Conference Paper

Year : 2017

A review: Information extraction techniques from research papers

Cite this Research Publication : K. Jayaram and Sangeeta, K., “A review: Information extraction techniques from research papers”, in IEEE International Conference on Innovative Mechanisms for Industry Applications, ICIMIA 2017 - Proceedings, 2017, pp. 56-59.

Publisher : IEEE International Conference on Innovative Mechanisms for Industry Applications, ICIMIA 2017 - Proceedings

Academic Qualifications
Degree Specialization & Thesis Title University / Institute Year (From- To)
Ph.D. Mathematics & Computing (Thesis: Dynamical studies of malware propagation models in wireless sensor network: An epidemic approach) IIT(ISM) Dhanbad July 2015 -March 2021
M. Phil. Applied Mathematics (Thesis: Dynamic Epidemic Models for Worms and Viruses in Computer Network) IIT(ISM) Dhanbad 2014 – 2015
M. Sc. Mathematics & Computing (Thesis: Application of Neural Networks in Data Analysis) IIT(ISM) Dhanbad 2012 – 2014
B.Sc. (Hons.) Mathematics Ranchi University 2008 – 2011
I. Sc. Mathematics, Computer Science, Chemistry, Physics, English Jharkhand Academic Council Ranchi 2006 – 2008
Secondary Exam Mathematics, Science, Social Science, English, Hindi Jharkhand Academic Council Ranchi 2005 – 2006
Professional Experience
Position Institution Duration
Assistant Professor Amrita Vishwa Vidyapeetham, Coimbatore 4 years 9 months
Research Guidance

Ph. D. Students

Student Name & Roll Number Research Topic Status
Sidharth Menon, CB.PS.R4MAT23002 Local and non-local interaction effects in prey-predator models Ongoing (July 2023 onwards) (INSPIRE Fellow)
PG / UG Projects Guided
Student Name & Roll Number Project Title Year
Ms. C Archana CB.SC.I5MAT17005 Prey predator dynamics induced by the fear and carry-over effects June 2022
Ms. Abhirami K CB.SC.I5MAT18001 Dynamical system of Quokka Population depicting Fennecaphobia by Vulpes Vulpes June 2023
Ms. Nandana K P CB.SC.I5MAT19014 Prey predator dynamics induced by the fear and carry-over effects with cross-diffusion June 2024
Ms. Gopika V CB.PS.P2DLS23005 Introduction of bacteriophages through ballast water and their impact on the population fluctuation of marine bacteria May 2025
Mr. Siddharthan K CB.SC.I5DAS20130 A comparative analysis of prompting techniques in large language models May 2025
Ms. Kiruba M CB.SC.I5DAS20116 Enhancing Public Health Fact Verification: A Comparative Study of RAG and Corrective RAG May 2025
Awards & Recognitions
Award Organization Year
Received best thesis award at the department level for the year 2021. IIT(ISM) Dhanbad 2022
Senior Research Fellowship IIT(ISM) Dhanbad 2017-2020
Junior Research Fellowship IIT(ISM) Dhanbad 2015-2017
Invited Talks / Keynote Lectures
Title of Talk Conference / Institution Year
Mathematical Ecology, e-Epidemiological Modelling Faculty Development Program on “Bridging Theory and Application: Mathematical Models in Biological Systems” 2025
Teaching

List major courses taught:

Sl. No. Name of Course No. of hrs. / week with credit
1 Probability Theory 4 hours per week (4 credit)
2 Fourier Transform and Complex Analysis 3 hours per week (3 credit)
3 Vector Calculus 4 hours per week (4 credit)
4 Differential and Integral Calculus 4 hours per week (4 credit)
5 Operator Theory 4 hours per week (4 credit)
6 Single Variable Calculus, Multiple Variable Calculus, Matrix Algebra 5 hours per week (1+2+2 credit)
 7 Calculus 4 hours per week (4 credit)
8 Problem Solving & Computer Programming Theory and Lab 3 Theory+2 lab hours per week (4 credit)
9 Multivariable Calculus and Laplace Transform 3 hours per week (3 credit)
10 Discrete Mathematics 4 hours per week (4 credit)
11 Numerical Methods 4 hours per week (4 credit)
12 Advanced Engineering Mathematics 4 hours per week (4 credit)
13 Linear Algebra 3 Theory+2 lab hours per week (4 credit)
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