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Dr. Purnedu mishra

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Dr. Purnedu mishra

Assistant Professor

Email: pmishra@iiitm.ac.in

Experience: 6+ Years Post-PhD (MIMUW Poland: Oct 2019-Feb 2021, NMBU Norway: March 2021- June 2023, ABV-IIITM Gwalior: July 2023-- till continue)

Address:

Room No. 206, Block E, Department of Engineering Sciences, ABV-IIITM Gwalior

Personal Web Page: https://sites.google.com/view/purunitrr

Dr. Purnedu mishra

Biography

Dr. Mishra is an Assistant Professor in the Department of Engineering Sciences at ABV-IIITM Gwalior, having joined in July 2023. He holds a PhD in Applied Mathematics with a specialization in mathematical biology from NIT Raipur and completed a prestigious ERCIM postdoctoral fellowship at the University of Warsaw. His extensive research background includes tenures at the Norwegian University of Life Sciences, where he specialized in slow-fast dynamical systems and stochastic differential equations applied to sustainable development and biology.

His research focuses on the mathematical modeling of natural and engineering systems through ODEs, PDEs, and stochastic equations, with particular expertise in mathenatical biology. Currently, Dr. Mishra is expanding his research repertoire to include climate modeling and mechanistic digital twin modeling, utilizing numerical simulations to bridge complex mathematical theory with real-world ecological and environmental sustainability.

  • Assistant Professor Grade-II at Department of Engineering Sciences, ABV-IIITM Gwalior from July 3, 2023 to the present date. 
  • Postdoctoral fellow at Faculty of Science and Technology (REALTEK), Norwegian University of Life Sciences NMBU Norway from March 1, 2021 to June 30, 2023.
  • ERCIM Postdoctoral fellow at Faculty of Mathematics, Informatics and Mechanics, University of Warsaw Poland from October 1, 2019 to February 28, 2021.

Other Details

 

Department: Engineering Sciences

Date of Joining: 03/07/2023

Contact Number: +91-9301437823

Office Room No.: E-block, Room No. 206

Area(s) of Specialization: Mathematical Biology, Differential Equations,

                                            Machine Learning for Dynamical Systems

Academic Qualifications

  • Ph.D. in Applied Mathematics, National Institute of Technology Raipur, Awarded March 2019.
  • M.Sc. in Mathematics and Scientific Computing, MNNIT Allahabad, 2012
  • B.Sc. in Mathematics and Computer Application, CSJM University Kanpur, 2010

Professional Experience

 

  • ABV-IIITM Gwalior, Assistant Professor Grade II, July 2023-till date 
  • Norwegian University of Life Sciences, Norway Postdoctoral fellow, March 2021-June 2023 
  • University of Warsaw Poland, ERCIM Postdoc fellow, Oct 2019-Feb 2021
  • MATS University Raipur, Assistant Professor, Sep 2018-Sep 2019, Contractual  

Teaching Interests and Courses Taught

 

Engineering mathematics, modeling & simulation, differential equations, Numerical methods, vector calculus, optimization techniques etc.

Research Areas and Interest

 

Dr. Mishra's research pursuits are marked by a passionate focus on mathematical modeling of natural systems, with a special emphasis on the field of life sciences. His expertise shines in the realm of dynamical systems modeling, enabling him to delve deep into complex sustainability issues intertwined with ecology and the environment. His primary research interests revolve around the captivating chemotaxis phenomenon observed in ecological species interactions, which he diligently explores through complex mathematical models.

Research Projects

 

  • Modeling extreme weather events in fishery dynamics
    • Funding Agency: IGC, UK | Role: PI | Duration: 16 months | Amount: ₹17 Lakhs | Status: Ongoing
  • Conceptual mathematical modeling for ecological sustainability
    • Funding Agency: NMBU Norway | Role: PI | Duration: 12 months | Amount: ₹3.6 Lakhs | Status: Ongoing
  • Development of AI/ML modules in Aristo platform for chemotherapy automation process
    • Funding Agency: MIDAS Lifecare Pvt. Ltd. | Role: Co-PI | Duration: 24 months | Amount: ₹16.5 Lakhs | Status: Ongoing

Publications (Last 5 Years)

 

List of Publications: 

  1. Adarsh Sruvastava P. Mishra* and J. Dhar. Thresholds and Transitions in Climate-Coupled Predator-Prey Models. Nonlinear Dynamics 114 (2026): 480, Impact Factor- 6.0, SCI-Q1 https://doi.org/10.1007/s11071-026-12346-6. 
  2. H. Jain, P. Mishra, A. Singh, & B. Tiwari. Nonlinear Dynamics of Extreme Weather and Greenhouse Gas Feedbacks in an Energy Balance Climate Model. Applied Mathematical Modeling. Under Review. https://doi.org/10.13140/RG.2.2.18716.86405 
  3. P. Mishra, M. Yadav, A. Shrivastava, & B. Tiwari. (2026). Spatio-temporal dynamics of Schoener–Polis–Holt intraguild predation model. The European Physical Journal Plus, 141(2026), 525. Impact Factor- 2.9, SCI-Q2. https://doi.org/10.1140/epjp/s13360-026-07783-6
  4. P. Mishra and D. Wrzosek.. Global existence for Lotka-Volterra models of predation and competition with diffusion and predator/competitor taxis in the spatial dimension n = 2, 3. Journal of Differential Equations (2025), 447, 113625. Impact Factor- 2.615, SCI. https://doi.org/10.1016/j.jde.2025.113625
  5. P. Mishra and D. Wrzosek. Schoener-Polis-Holt’s model of the intraguild predation with predator taxis and repulsive chemotaxis (2024). Discrete and Continuous Dynamical Systems-B 29 (12), 4698-4726. Impact Factor- 1.8, SCI. https://doi.org/10.3934/dcdsb.2024062
  6. P. Mishra, A. Ponossov and J. Wyller. On the dynamics of predator-prey models with role reversal (2023). Physica D: Nonlinear Phenomena, 461, 134100. Impact Factor- 4.0, SCI. https://doi.org/10.1016/j.physd.2024.134100
  7. P. Mishra, Wrzosek, Dariusz. Pursuit-Evasion Dynamics for Bazykin-Type Predator-Prey Model with Indirect Predator Taxis. Journal of Differential Equations 361 (2023) Impact Factor- 2.615, SCI. https://doi.org/10.1016/j.jde.2023.02.063
  8. H. Bergland, P. Mishra*, P.A. Pedersen, A. Ponossov and J. Wyller. Time delays and pollution in an open access fishery. Natural Resource Modeling (2022), 1-39. Impact Factor- 1.394. SCIE https://doi.org/10.1111/nrm.12363 
  9. P. Mishra and D. Wrzosek. Repulsive chemotaxis and predator evasion in predator prey models with diffusion and prey taxis. Mathematical Models and Methods in Applied Sciences 32 (2022), 1-42. Impact Factor- 4.144. SCI https://doi.org/10.1142/S0218202522500014 
  10. P. Mishra and D. Wrzosek. Indirect taxis drives spatio-temporal patterns in an extended Schoener’s intraguild predator-prey model. Applied Mathematics Letters 125 (2021), 107745. Impact Factor4.294. SCI https://doi.org/10.1016/j.aml.2021.107745 
  11. P. Mishra and B. Tiwari. Drivers of pattern formation in a predator-prey system with defense in fearful prey. Nonlinear Dynamics 105 (2021) Impact Factor- 5.741. SCI https://doi.org/10.1007/s11071-021-06719-2
  12. S.N. Raw, P. Mishra, B. Tiwari. B.P. Sarangi. Appearance of temporal and spatial chaos in an ecological system: A Mathematical Modeling Study. Iranian Journal of Science and Technology, Transactions A: Science 45 (2021) Impact Factor- 1.553, SCI https://doi.org/10.1007/s40995-021-01139-8
  13. S.N. Raw and B. Tiwari and P. Mishra. Qualitative analysis of a predator-prey system with double Allee effect and schooling behaviour. Nonlinear Dynamics 102(10)(2020). Impact Factor- 5.741. SCI. https://doi.org/10.1007/s11071-020-06018-2
  14. S.N. Raw and B. Tiwari and P. Mishra. Analysis of a plankton-fish model with external toxicity and non-linear harvesting. Ricerche Da Mathematica Vol. 69 (2020) Impact Factor- 1.166. Citations-02, SCIE. https://doi.org/10.1007/s11587-019-00478-4 •
  15. P. Mishra, S.N. Raw, B. Tiwari. On the dynamics of a cannibalistic predator-prey model with defense and diffusion. Applied Mathematical Modelling 90 (165-190) (2020) Impact Factor- 5.336. SCIE https://doi.org/10.1016/j.apm.2020.08.060
  16. S.N. Raw and P. Mishra, B. Tiwari, Mathematical study about a predator-prey model with anti-predator behavior. International Journal of Applied and Computational Mathematics Vol. 6 (1-22) (2020). SCOPUS. https://doi.org/10.1007/s40819-020-00822-5 •
  17. P. Mishra and D. Wrzosek. The role of indirect prey-taxis and interference among predators in pattern formation. Mathematical Methods in Applied Sciences Vol. 43(18) (2020). Impact Factor- 3.007, SCIE https://doi.org/10.1002/mma.6426 •
  18. S.N. Raw and B. Tiwari and P. Mishra. Dynamical complexities and pattern formation in an eco-epidemiological model with prey infection and harvesting. Journal of Applied Mathematics and Computing. Vol. 64 (17-52) (2020). Impact Factor- 2.196. SCIE https://doi.org/10.1007/s12190-020-01342-7 
  19. P. Mishra, S.N. Raw. Dynamical complexities in a predator-prey model involving team of two prey and one predator. Journal of Applied Mathematics and Computing. Vol. 61 (1-2) (2019) Impact Factor2.196, SCIE https://doi.org/10.1007/s12190-018-01236-9 
  20. S.N. Raw and P. Mishra. Modeling and analysis of inhibitory effect in plankton-fish model: Application to Swarjedski Lake, Western Poland. Nonlinear Analysis: Real World Application. Vol. 46 (2019). Impact Factor- 2.765, SCI https://doi.org/10.1016/j.nonrwa.2018.09.026
  21. P. Mishra, S.N. Raw and B. Tiwari. Study of a diffusive Leslie-Grower predator-prey system with mutual interference of predators and prey defense. Chaos, Solitons and Fractals. Vol. 120 (2019). Impact Factor- 9.922, SCI https://doi.org/10.1016/j.chaos.2019.01.012 
  22. S.N. Raw, P. Mishra, R. Kumar, S. Thakur. Complex dynamics of prey-predator system exhibiting group defense: A mathematical modeling study. Chaos, Solitons and Fractals. Vol. 100 (2017). Impact Factor- 9.922, SCI https://doi.org/10.1016/j.chaos.2017.05.010

Administrative and Institutional Contributions

 

  • Assistant warden (BH-2) from April 2025 to March 2026.
  • Member of standing purchase Committee Oct 2024-Sep 2025
  • DPGC Convener Nov 2024-Oct 2025
  • Faculty coordinator sports from April 2024 to March 2025.
  • Faculty-in-charge sports from July 2023 to April 2024.
  • Convener of SII admission 2024-2025.

Collaborations and Professional Memberships

 

  • University of Warsaw, Poland
    • Nature of Collaboration: Research Collaboration
  • Norwegian University of Life Sciences, Norway
    • Nature of Collaboration: Research Collaboration
  • The London School of Economics and Political Science (LSE)
    • Nature of Collaboration: Research Collaboration
  • University of Tromsø, Norway
    • Nature of Collaboration: Research Collaboration

Awards and Recognitions

 

 

  • ANRF International Travel Grant  for participation in NUMTA-2026 Conference, to visit Calabria, Italy.
  • ANRF seminar/symposia grant if Rs. 3.0 lakhs for conducting M^3LS-2026 workshop.
  • International Reserch Exchange Grant of NOK 195000 (approx. Rs. 17.55 lakh) from the Norwegian University of Life Sciences NMBU Norway
  • ERCIM Alain Bensoussan Grant of Euro 25360/- (approx. Rs. 26.42 lakh) from Oct 1, 2019-Feb 28, 2025

Student Guidance and Mentorship (04)

 

PhD Supervision:

  • Adarsh Shrivastava (Ongoing from January 2024 with Prof. Joydip Dhar)
  • Shivani Sharma (Ongoing from January 2025 with Dr. Anuwedita Singh)
  • Abhishek Kumar (Ongoing from January 2025, Part-Time)
  • Suchi Sharda (Ongoing from July 2026)

Postdoc Mentorship:

  • Dr. Himanshu Jain under IGC project (Ongoing from February 2026).

Outreach and Extension Activities

 

  • Delivered expert lectures: 14
  • Organized / Attended FDPs, Training, or Industry Outreach: 03

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