Dr. Rajanish Kumar Rai

Assistant Professor

Specialization

Mathematical Modeling in Epidemiology and Eco-epidemiology, Differential Equations, Dynamical Systems.

Email

rajanish.rai@thapar.edu

Specialization

Mathematical Modeling in Epidemiology and Eco-epidemiology, Differential Equations, Dynamical Systems.

Email

rajanish.rai@thapar.edu

Contact No.

+91-8115-706-426

Assistant Professor

rajanish.rai@thapar.edu, rajanishrai94@gmail.com

Personal website: https://sites.google.com/view/dr-rajanish-kumar-rai/

Biography

Dr. Rajanish Kumar Rai is working with Department of Mathematics, Thapar Institute of Engineering and Technology, Patiala since July, 2022. He has completed his Ph.D. degree (2019) from the Department of Mathematics, Banaras Hindu University, Varanasi. His broad area of research includes Mathematical Modeling in Epidemiology, Public Health and Management, Mathematical modeling of COVID-19 and its behavioral Epidemiology, Applications of Ordinary and Delay Differential Equations, Bifurcation analysis and its chaotic dynamics.

Educational Qualifications:

  • Ph.D. from B.H.U. Varanasi in Dynamics of infectious diseases and its behavioral Epidemiology (2019).
  • M.Sc. (Mathematics) from Department of Mathematics, B.H.U., Varanasi in (2014).
  • B.Sc. (Mathematics, Physics) from V.B.S. Purvanchal University, Jaunpur Uttar Pradesh in (2012).

Teaching Experience: Total Teaching Experience 5 years 2 months.

  • Assistant Professor (Grade-I): Thapar Institute of Engineering and Technology (Deemed to be University), Patiala, India from July, 2022 to Present.
  • Assistant Professor (Grade-I): Jaypee Institute of Information Technology (Deemed to be University), Noida, Uttar Pradesh, India from December, 2021 to July, 2022.
  • Assistant Professor (Ad-hoc): Department of Mathematics (School of Sciences), National Institute of Technology (NIT) Andhra Pradesh, Tadepalligudem, India from July 2021 to November 2021.
  • Assistant Professor: Department of Mathematics, Institute of Engineering and Rural Technology (IERT), Engineering Degree Division, Prayagraj, Uttar Pradesh, India from July 2019 to June 2021.
  • Tutor: Took tutorial classes of Calculus, Linear Algebra, Complex Analysis and Ordinary and Partial Differential Equations at Banaras Hindu University, Varanasi India during December 2014 to January 2019.

Teaching Interests:

  • Engineering Mathematics
  • Probability, Statistics and Random Processes
  • Mathematical Biology and Nonlinear Dynamical Systems
  • Complex Analysis
  • Ordinary and Partial Differential Equations
  • Advanced Differential Equations
  • Optimization Techniques
  • Research Methodology
  • Real Analysis
  • Linear Algebra
  • Integral Equations

Research Interests:

  • Mathematical Modeling in Epidemiology and Eco-epidemiology, Public Health and Management
  • Applications of Ordinary and Delay Differential Equations, Dynamical Systems in Biology
  • Qualitative theory of Differential Equations, Bifurcation analysis and its Chaotic dynamics
  • Stability theory and Optimal Control Theory in Epidemiology

Ph.D. Thesis Guiding/Supervised:

  1. Guiding one Ph.D. student as a co-supervisor at Department of Mathematics, Thapar Institute of Engineering and Technology, Patiala from January 2024 to present.

Research Publications:

International Journals:

  1. Rajanish Kumar Rai, Kalyan Kumar Pal, Pankaj Kumar Tiwari, Maia Martcheva, Arvind Kumar Misra*, Modeling the influence of social media and word-of-mouth on the transmission dynamics of non-communicable and communicable diseases, International Journal of Biomathematics, World Scientific, (2024), ISSN No-17935245. https://doi.org/10.1142/S1793524524500943 [(SCIE)(Q2), IF-2.4, World Scientific.]
  2. Kalyan Kumar Pal, Rajanish Kumar Rai*, Pankaj Kumar Tiwari, Influences of media-induced awareness and sanitation practices on cholera epidemic: A study of bifurcation and optimal control, International Journal of Bifurcation and Chaos (Accepted), (2024) ISSN No- 02181274. [(SCI) (Q1), IF-1.9, World Scientific.]
  3. Kalyan Kumar Pal, Nazmul Sk, Rajanish Kumar Rai, Pankaj Kumar Tiwari, Examining the impact of incentives and vaccination on COVID-19 control in India: addressing environmental contamination and seasonal dynamics, The European Physical Journal Plus, (2024) 139:225, ISSN No- 21905444. https://doi.org/10.1140/epjp/s13360-024-04997-4 [(SCIE)(Q2), IF- 3.4, Springer.]
  4. Kalyan Kumar Pal, Rajanish Kumar Rai*, P. K. Tiwari, Y. Kang, Role of incentives on the dynamics of infectious diseases: Implications from a mathematical model, The European Physical Journal Plus, (2023), 138:564, ISSN No- 21905444. https://link.springer.com/article/10.1140/epjp/s13360-023-04163-2 [(SCIE)(Q2), IF- 3.4, Springer.]
  5. R. K. Gupta, Rajanish Kumar Rai, P. K. Tiwari, A. K. Misra, Maia Martcheva*, A mathematical model for the impact of disinfectants on the control of bacterial diseases, Journal of Biological Dynamics, (2023), 17(1), 2206859, 1-28, ISSN No- 17513758. https://doi.org/10.1080/17513758.2023.2206859 [(SCI)(Q1), IF- 2.726, Taylor & Francis.]
  6. Rajanish Kumar Rai, P. K. Tiwari, Subhas Khajanchi*, Modeling the influence of vaccination coverage on the dynamics of COVID-19 pandemic with the effect of environmental contamination, Mathematical Methods in the Applied Sciences, (2023) 1-29, ISSN No-01704214. http://doi.org/10.1002/mma.9185 [(SCIE)(Q1), IF-3.007, Wiley Online Library]
  7. P. K. Tiwari, Rajanish Kumar Rai, R.K. Gupta, Maia Martcheva, A. K. Misra*, Modeling the control of bacterial disease by social media advertisements: Effects of awareness and sanitation. Journal of Biological Systems, (2022), Vol. 30(1), pp. 51–92. ISSN No- 0218-3390. https:///dx.doi.org/10.1142/S0218339022500024 [(SCIE)(Q2), IF- 1.3, World Scientific.]
  8. Rajanish Kumar Rai, Subhas Khajanchi, P.K. Tiwari, Ezio Venturino, A.K. Misra*, Impact of social media advertisements on the transmission dynamics of COVID-19 pandemic in India. Journal of Applied Mathematics and Computing, (2022), Vol. 68, pp. 19-44, ISSN No-15985865. https://doi.org/10.1007/s12190-021-01507-y [(SCIE)(Q1), IF- 2.4, Springer Verlag.]
  9. P. K. Tiwari, Rajanish Kumar Rai, Subhas Khajanchi, R. K. Gupta, A. K. Misra*, Dynamics of coronavirus pandemic: Effects of community awareness and global information campaigns. The European Physical Journal Plus, (2021), Vol. 136(10), pp. 994. ISSN No- 2190-5444. https://doi.org/10.1140/epjp/s13360-021-01997-6 [(SCI)(Q2), IF- 3.758, Springer Verlag.]
  10. A.K. Misra, Rajanish Kumar Rai, P.K. Tiwari, Maia Martcheva*, Delay in budget allocation for vaccination and awareness induces chaos in an infectious disease model. Journal of Biological Dynamics, (2021), Vol. 15(1), pp. 395-429. ISSN No- 17513758. https://doi.org/10.1080/17513758.2021.1952322 [(SCI)(Q1), IF- 2.726, Taylor & Francis.]
  11. P. K. Tiwari, Rajanish Kumar Rai, A. K. Misra* and J. Chattopadhyay, Dynamics of infectious diseases: Local versus global awareness. International Journal of Bifurcation and Chaos, (2021), Vol. 31(7), pp. 2150102, 1-26. ISSN No- 02181274. https://doi.org/10.1142/S0218127421501029 [(SCI)(Q1), IF-1.9, World Scientific.]
  12. Rajanish Kumar Rai, Pankaj Kumar Tiwari, Yun Kang and Arvind Kumar Misra*, Modeling the effect of literacy and social media advertisements on the dynamics of infectious diseases. Mathematical Biosciences and Engineering, (2020), Vol. 17(5), pp. 5812–5848. ISSN No-15471063. http://dx.doi.org/10.3934/mbe.2020311 [(SCIE) (Q2), IF-2.080, American Institute of Mathematical Sciences (AIMS).]
  13. Arvind Kumar Misra, Rajanish Kumar Rai*, Impacts of TV and radio advertisements on the dynamics of an infectious disease: A modeling study. Mathematical Methods in the Applied Sciences, (2019), Vol. 42(1), pp. 1262–1282. ISSN No-01704214. https://doi.org/10.1002/mma.5438 [(SCIE)(Q1), IF-3.007 Wiley Online Library.]
  14. Rajanish Kumar Rai, Arvind Kumar Misra* and Yasuhiro Takeuchi, Modeling the impact of sanitation and awareness on the spread of infectious diseases. Mathematical Biosciences and Engineering, (2019), Vol. 16(2), pp. 667-700, ISSN No- 15471063. https://doi.org/10.3934/mbe.2019032 [(SCIE) (Q2), IF-2.080, American Institute of Mathematical Sciences (AIMS).]
  15. Arvind Kumar Misra*, Rajanish Kumar Rai and Yasuhiro Takeuchi, Modeling the control of infectious diseases: Effects of TV and social media advertisements. Mathematical Biosciences and Engineering, (2018), Vol. 15(6), pp. 1315-1343. ISSN No- 15471063. http://dx.doi.org/10.3934/mbe.2018061 [(SCIE) (Q2), IF-2.080, American Institute of Mathematical Sciences (AIMS).]
  16. A.K. Misra and Rajanish Kumar Rai*, A mathematical model for the control of infectious diseases: Effects of TV and radio advertisements. International Journal of Bifurcation and Chaos, (2018), Vol. 28(3), pp. 1850037, 1-27 ISSN No- 02181274. https://doi.org/10.1142/S0218127418500372 [(SCI) (Q1), IF-1.9, World Scientific.]
  17. A.K. Misra*, Rajanish Kumar Rai and Yasuhiro Takeuchi, Modeling the effect of time delay in budget allocation to control an epidemic through awareness. International Journal of Biomathematics, (2018), Vol. 11(2), pp. 1850037, 1-20. ISSN No- 17935245. https://doi.org/10.1142/S1793524518500274 [(SCIE)(Q2), IF-2.4, World Scientific.]

Delivered Invited Talk:

  1. Delivered an invited talk on July 27th 2022 on Concepts of linear Algebra and Its Applications in “one week Faculty Development Program on Mathematical Foundations of Machine Learning” organized through online mode by the Department of Mathematics, Jaypee Institute of Information Technology, Noida, India during July 25 -30, (2022).
  2. Delivered an invited talk on “Dynamics of Infectious Diseases and its Behavioral Epidemiology with Special Focus on COVID-19 Pandemic” in the 36th Siksha ‘O’ Anusandhan Weekly Academic Lecture (SOAWAL), organized by the Centre for Data Science (CDS), Faculty of Engineering & Technology (ITER), Siksha ‘O’ Anusandhan (Deemed to be University), Bhubaneswar – 751030, India on April 2, (2022).
  3. Delivered an invited talk on January 12, (2022) in “One-week interactive program: Career Guidance Session” conducted for the students of M.Sc. Mathematics (2020-22 and 2021-2023 Batch) during January 10-15, (2022) in online mode through Google meet organized by the Department of Mathematics, Jaypee Institute of Information Technology, Noida-201309, India.

International and National Conferences/Symposiums:

  1. Presented a paper in the “International Symposium on Optimization Theory & its Applications (ISOTA-2023)” organized by the School of Mathematics, Thapar Institute of Engineering and Technology, Patiala held during April 13-15, (2023).
  2. Presentation in the “International Conference on Advances in Transport Phenomena (ICATP 2022) - A Virtual Meet” organized by the School of Advanced Sciences, VIT-AP University, Amaravati held during July 16-18, (2022).
  3. Presentation in ``First international conference on recent researches in mathematics (FICRRM-22)’’ organized by the Department of Mathematics, College of Natural and Computational Science, Mizan-Tepi University, Tepi Campus, Ethiopia during 20-21 April, (2022).
  4. Participation in 13th Conference on ``Dynamical Systems Applied to Biology and Natural Sciences’’ (DSABNS 2022) (Virtual mode), organized by the Mathematical and Theoretical Biology Group at the Basque Center for Applied Mathematics (BCAM), Spain during February 8-11, (2022).
  5. Participation in 5th International Conference on “Recent Advances in Mathematical Sciences and its Applications (RAMSA-2021)” organized through online mode by the Department of Mathematics, Jaypee Institute of Information Technology, Noida, India during December 02-04, (2021).
  6. Presentation in “International Conference on Differential equations and Control problems” held at School of Basic Sciences, IIT Mandi Himachal Pradesh India during 17-19 June (2019).
  7. Presentation in “International conference on Mathematical Modelling and Computation” held at Department of Mathematics, South Asian University, New Delhi, India during December 1-3, (2018).
  8. Presentation in “33th Annual National Conference of The Mathematical Society Banaras Hindu University on Recent advances in Mathematical Modelling and Analysis” held at Department of Mathematics, Institute of Science Banaras Hindu University Varanasi-221005 during February 16-17, (2018).
  9. Presentation in “International conference on Mathematical Analysis and Application in Modelling” held at Department of Mathematics, Jadavpur University during Jan 9-12, (2018).
  10. Presentation in “6th China India Japan Korea Mathematical Biology Colloquium Cum Conference” held at Department of Mathematics and Statistics, Indian Institute of Technology Kanpur during August 23-26, (2017).
  11. Presentation in “National conference on Mathematical and Theoretical Biology” held at Department of mathematics, Jadavpur University and Bio mathematical Society of India during March 16-17, (2017).
  12. Presentation in “32nd Annual National Conference of Mathematical Society Banaras Hindu University on Recent trends in Mathematical analysis and its applications” held at Department of Mathematics, Institute of Science Banaras Hindu University, Varanasi-221005 during February 17-18, (2017).
  13. Presentation in “National Conference, 4th India Biodiversity Meet-2016” held at Indian Statistical Institute, Kolkata and Government College of Engineering and Textile Technology, Barhampore during October 24-27, (2016).
  14. Presentation in “International Conference on Mathematical modelling & Simulation”, organized by Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi & Indian Academy of Mathematical Modelling and Simulation, Head Quarter, IIT-Kanpur during August 29-31, (2016).
  15. Presentation in “International Conference on Mathematical modelling, Differential Equations, Scientific Computation & Application under IAMMS”, organized by Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur during March 27-29, (2016).

Participated in short term course/workshop/seminar/FDP:

  1. Participated in “one week Faculty Development Program on Mathematical Foundations of Machine Learning” organized through online mode by the Department of Mathematics, Jaypee Institute of Information Technology, Noida, India during July 25 -30, (2022).
  2. Participated in the Online Teachers Enrichment Workshop on “Algebra, Number Theory and Graph Theory” hosted by Department of Mathematics, Amity School of Applied Sciences, Amity University Haryana during July 04 – July 16, (2022).
  3. Participated in online GIAN Course on Stochastic Processes: Theory and Its Applications in Medical Sciences organized by the Department of Mathematics, Maharshi Dayanand University, Rohtak during 14-18 March (2022).
  4. Participated in Teachers’ Enrichment Workshop on Differential Equations and Mathematical Modelling (virtual mode) organized by the Department of Mathematics, Jaypee Institute of Information Technology, Noida, Uttar Pradesh during February 14-27, (2022).
  5. Participated in online Teachers’ Enrichment Workshop on “Real Analysis, Multivariable Calculus and Linear Algebra hosted by Department of Mathematics, St. Joseph's College (Autonomous), Bengaluru during January 17 – February 5, (2022).
  6. Participated in an online 5-Days National Workshop on ‘Vedic Mathematics’, organized by Department of Mathematics, Swami Shraddhanand College, New Delhi during 6th -11th January, (2022).
  7. Participated in five days online Faculty Development Program on "Mathematical Perspective of Epidemic Outbreak with Special Focus on COVID-19’’ organized by Department of Basic science and Humanities, IIIT Bhagalpur during March, 18-22 (2021).
  8. Participated in twelve days Faculty Development Program on SCILAB (Scientific Laboratories) organized by IQAC, A.N. College, Patna in association with IIT Bombay through Spoken Tutorials during 22 May, (2020) to 2nd June, (2020).
  9. Participated in one-week online Faculty Development Program (FDP) on ‘’Moodle Learning Management System” organized by Atal Bihari Vajpayee University, Bilaspur in association with IIT Bombay through Spoken Tutorial during May 12-17, (2020).
  10. Participated in the “Science Leadership workshop” organized by central university of Panjab, Bhatinda, India, from June 22-28, (2020).
  11. Participated in “Advance Level Research Workshop on Mathematical Modelling of Environmental, Ecological and Epidemiological systems” under the auspices of NPDE-TCA held at DST-CIMS, Banaras Hindu University Varanasi during August 24-29, (2016).
  12. Participated in “Science Academy’s Refresher Course on Differential Equation and their Application in Science and Engineering” held at Department of Applied Mathematics, IIT (ISM), Dhanbad during July 04-16, (2016).
  13. Participated in “Advance Level Workshop on Singularly Perturbed Partial Differential Equation Theory Computation and Application”, organized by Department of Mathematics and Statistics, IIT- Kanpur Uttar Pradesh, during March 24 – 28, (2016).
  14. Participated in “Postgraduate Level Training Program on Differential Equation under the auspices of NPDE-TCA”, organized by Indian Institute of Technology, Kanpur during 18th May – 4th June, (2015).

Achievements, Awards and Recognitions:

  • Qualified CSIR-UGC NET Examination (June-2016) AIR-26.
  • Qualified GATE in Mathematics, Years (2015) & (2016).
  • Secured second rank in M.Sc. Mathematics at Department of Mathematics, Banaras Hindu University, Varanasi (2014).
  • Secured 5th rank in M.Sc. Mathematics Entrance Examination, Banaras Hindu University, Varanasi.

Membership of Professional Bodies/Professional Achievements:

  • Lifetime membership of India Academy for Mathematical Modelling and Simulation (IAMMS) (Membership No. - 6).
  • Lifetime membership of Indian Science Congress Association (Membership No. - L33633).
  • Lifetime membership of Mathematical Society B.H.U. Varanasi. (Membership No. - 232).
  • Reviewer of Ecological Complexity Journal, Elsevier.
  • Reviewer of International Journal of Biomathematics, World Scientific.
  • Reviewer of The European Physical Journal Plus, Springer.

Websites:

  • Web of Science Researcher ID: https://www.webofscience.com/wos/author/record/AAQ-5169-2021
  • Scopus ID: https://www.scopus.com/authid/detail.uri?authorId=57200938338
  • MathSciNet ID: https://mathscinet.ams.org/mathscinet/author?authorId=1263871
  • IRINS ID: https://thapar.irins.org/profile/483503
  • ORCID: https://orcid.org/0000-0002-8815-7808
  • Google Scholar: https://scholar.google.com/citations?user=g6YsKjoAAAAJ&hl=en
  • Research Gate: https://www.researchgate.net/profile/Rajanish-Rai
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