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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. Prior to joining ABV-IIITM Gwalior, Dr. Mishra has gained 4.5+ years of postdoctoral and teaching experience from the national and international repute of institutions. He holds a PhD in Applied Mathematics with a specialization in mathematical biology from the National Institute of Technology 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 complex natural and engineering systems through the lens of dynamical systems, with particular interest in mathematical biology and medicine. 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. Dr. Mishra worked as faculty and in a postdoctoral position in various reputed institutions: 

  • Assistant Professor (Grade-II, Level 11) at the 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 the Faculty of Mathematics, Informatics, and Mechanics, University of Warsaw, Poland, from October 1, 2019, to February 28, 2021.
  • Assistant Professor (Temporary) at the Department of Information Technology, MATS University Raipur, from September 2018 to September 2019.

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, Climate Modeling, Pattern Formation, 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, Kulbhaskar PG College Allahabad,  CSJM University Kanpur, 2010

Professional Experience

 

  • ABV-IIITM Gwalior, Assistant Professor (Grade II, Level 11) 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 and computational medicine. 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. I am interested in following areas:

  • Mathematical Biology
  • Dynamical Systems and Chaos Theory
  • Reaction-Diffusion-Taxis Models in Biology and Medicine
  • Climate Modeling under Deterministic and Stochastic Flactuations
  • Machine Learning for Dynamical System Models

 

Research Projects

 

  • Modeling extreme weather events in fishery dynamics
    • Funding Agency: IGC, UK | Role: PI | Host: ABV-IIITM Gwalior | Duration: 18 months | Amount: ₹17 Lakhs | Status: Ongoing
  • Conceptual mathematical modeling for ecological sustainability
    • Funding Agency: NMBU Norway | Role: PI | Host: ABV-IIITM Gwalior | 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 | Project Host: ABV-IIITM Gwalior | Duration: 24 months | Amount: ₹16.5 Lakhs | Status: Ongoing
  • The role of chemical signalling and animal's aggregation in predator-prey interactions: Mathematical modelling approach 
    • Funding Agency: ERCIM | Role: PI | Project Host: University of Warsaw Poland | Duration: 18 months | Amount: ₹26.42 Lakhs | Status: Completed

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 . 
  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.
  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.
  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-Q1.
  5. P. Mishra and D. Wrzosek. Schoener-Polis-Holt’s model of the intraguild predation with predator taxis and repulsive chemotaxis. Discrete and Continuous Dynamical Systems-B 29 (12) (2024),4698-4726. Impact Factor- 1.8, SCI-Q1.
  6. P. Mishra, A. Ponossov and J. Wyller. On the dynamics of predator-prey models with role reversal. Physica D: Nonlinear Phenomena, 461, 134100 (2023). Impact Factor- 4.0, SCI-Q1.
  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-Q1
  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-Q2.
  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-Q1
  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-Q1
  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-Q1
  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-Q2
  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-Q1
  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.
  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. SCI-Q1
  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. 
  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-Q1.
  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-Q2.  
  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) SCIE-Q2 
  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-Q1
  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). SCI-Q1
  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). SCI-Q1

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 (ITS)  for participation in NUMTA-2026 Conference, to visit Calabria, Italy in May 2026.
  • ANRF seminar/symposia (SSY) grant of Rs. 3.0 lakhs for conducting M^3LS-2026 workshop in May 2026.
  • 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, 2021 in July 2019.

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)
  • Suruchi Sharda (Ongoing from July 2026)

Postdoc Mentorship:

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

Outreach and Extension Activities

 

  • Delivered expert lectures: 18
  • Organized / Attended FDPs, Training, or Industry Outreach: 03

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