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Assist. Prof. Dr. Swati Tyagi | Mathematical Modelling | Women Researcher Award

Assistant Professor at Amity University Punjab, India

Assist. Prof. Dr. Swati Tyagi is an accomplished mathematician and educator, currently serving as an Assistant Professor at Amity University, Mohali. She holds a Ph.D. in Mathematics from IIT Mandi, where she specialized in neural network models and differential equations. With a strong academic background, including an M.Sc. in Mathematics (H) from Panjab University and a B.Sc. in Computer Science, she has held teaching and research positions at prestigious institutions such as Punjab Engineering College, Chandigarh University, and Shoolini University. Her research focuses on mathematical modeling, epidemiology, delay differential equations, fractional differential equations, and stability analysis. Dr. Tyagi has received several accolades, including the SERB National Postdoctoral Fellowship and recognition for her highly cited research. A prolific scholar, she has published extensively in reputed journals, presented at numerous international conferences, and contributed actively to academic administration and journal reviewing.

 

Profile

Education

Assist. Prof. Dr. Swati Tyagi has an impressive academic trajectory, reflecting her dedication to the field of mathematics. She completed her Ph.D. in Mathematics at IIT Mandi in 2016, earning a remarkable CGPA of 8. Prior to this, she pursued her M.Sc. in Mathematics (Hons.) from Panjab University, graduating in 2011 with a commendable score of 69.55%. Her foundational studies include a B.Sc. in Computer Science from Panjab University, where she excelled with a score of 78.75% in 2009. Dr. Tyagi’s secondary education also highlights her academic excellence, with 81% in her Senior Secondary (Non-Medical) from CBSE in 2006 and an outstanding 86.8% in her High School from PSEB in 2004. Her consistent academic performance was recognized through various scholarships and merit certificates, underscoring her strong academic foundation.

Experience

Assist. Prof. Dr. Swati Tyagi has extensive academic and research experience, having contributed to various prestigious institutions. Currently an Assistant Professor at Amity University, Mohali, she previously served as an Assistant Professor in Mathematics at Chandigarh University and Punjab Engineering College (Deemed to be University), Chandigarh. She gained valuable postdoctoral research experience as a SERB National Postdoctoral Fellow at IIT Ropar, where she worked on advanced neural network models under the mentorship of Dr. S.C. Martha. Earlier in her career, Dr. Tyagi held teaching positions at Shoolini University, Solan, and Chandigarh Group of Colleges, Landran. Her teaching portfolio includes a wide range of undergraduate and postgraduate courses, and she has also served as a teaching assistant for mathematics courses during her tenure at IIT Mandi and IIT Ropar. Dr. Tyagi has been actively involved in academic administration, event coordination, and mentoring students throughout her career.

Research Interests

Assist. Prof. Dr. Swati Tyagi’s research interests lie at the intersection of applied mathematics and computational sciences, with a focus on mathematical modeling and epidemiology. Her work encompasses the study of delay differential equations, fractional differential equations, and neural networks, delving into their stability analysis and solution approximations. Dr. Tyagi is particularly interested in exploring the dynamics of infectious diseases, developing advanced models for neural networks, and analyzing their implications in real-world applications. Her contributions also extend to numerical methods and theoretical frameworks that enhance the understanding of complex systems in her field.

Skills

Assist. Prof. Dr. Swati Tyagi possesses a diverse set of skills that bridge theoretical mathematics and practical computational applications. She is proficient in advanced mathematical techniques, including stability analysis, approximation methods, and modeling complex systems such as neural networks and infectious disease dynamics. Her expertise in computational tools like MATLAB, Maple, and LaTeX enhances her ability to conduct simulations and present research findings effectively. Additionally, her skills in teaching and mentoring students are demonstrated through her extensive experience in delivering undergraduate and postgraduate courses in mathematics and related subjects. Dr. Tyagi is also skilled in academic writing, peer review, and conference presentations, which complement her research and academic endeavors.

 

Publications

Global analysis of a delayed density dependent predator–prey model with Crowley–Martin functional response

  • Authors: JP Tripathi, S Tyagi, S Abbas
  • JournalCommunications in Nonlinear Science and Numerical Simulation
  • Year: 2016
  • Volume: 30, Issues: 1-3, Pages: 45-69
  • DOI: 10.1016/j.cnsns.2015.06.002

Finite-time stability for a class of fractional-order fuzzy neural networks with proportional delay

  • Authors: S Tyagi, SC Martha
  • JournalFuzzy Sets and Systems
  • Year: 2019
  • DOI: 10.1016/j.fss.2018.04.011

Discrete fractional‐order BAM neural networks with leakage delay: existence and stability results

  • Authors: J Alzabut, S Tyagi, S Abbas
  • JournalAsian Journal of Control
  • Year: 2020
  • Volume: 22, Issue: 1, Pages: 143-155
  • DOI: 10.1002/asjc.1973

Mathematical modeling and analysis for controlling the spread of infectious diseases

  • Authors: S Tyagi, SC Martha, S Abbas, A Debbouche
  • JournalChaos, Solitons & Fractals
  • Year: 2021
  • Volume: 144, Article: 110707
  • DOI: 10.1016/j.chaos.2021.110707

Global exponential stability of fractional‐order impulsive neural network with time‐varying and distributed delay

  • Authors: HM Srivastava, S Abbas, S Tyagi, D Lassoued
  • JournalMathematical Methods in the Applied Sciences
  • Year: 2018
  • Volume: 41, Issue: 5, Pages: 2095-2104
  • DOI: 10.1002/mma.4734

Global Mittag–Leffler stability of complex valued fractional-order neural network with discrete and distributed delays

  • Authors: S Tyagi, S Abbas, M Hafayed
  • JournalRendiconti del Circolo Matematico di Palermo Series 2
  • Year: 2016
  • Volume: 65, Pages: 485-505
  • DOI: 10.1007/s12215-015-0190-1

Stability and bifurcation analysis of a fractional‐order model of cell‐to‐cell spread of HIV‐1 with a discrete time delay

  • Authors: S Abbas, S Tyagi, P Kumar, VS Ertürk, S Momani
  • JournalMathematical Methods in the Applied Sciences
  • Year: 2022
  • Volume: 45, Issue: 11, Pages: 7081-7095
  • DOI: 10.1002/mma.8071

Conclusion

Dr. Swati Tyagi’s impressive academic achievements, pioneering research, and contributions to the mathematical community make her a deserving candidate for the Research for Women Researcher Award. Her dedication to advancing knowledge and mentoring future generations further underscores her exceptional profile.

Swati Tyagi | Mathematical Modelling | Women Researcher Award

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