Publications

62 publications

1. 1

   Rana, Kanav Singh, and Nitu Kumari. Dynamic mode decomposition with multiple initial conditions for linearizing nonlinear partial differential equations. Engineering with Computers (Springer) 42, no. 5 (2026): 156.

   Paper2026
2. 2

   Nitu Kumari, Anurag Singh and Arun Kumar (2026) The first mathematical model for elk–wolf interaction in Yellowstone National Park using the E-SINDy algorithm, Ecological Modelling (Elsevier) 516, 111574.

   Paper2026
3. 3

   Sumit Kumar and Nitu Kumari (2026). Dynamic analysis of COVID-19 transmission in India: A compartmental model with phase specific sensitivity and uncertainty evaluation. Nonlinear Science, Elsevier Vol 7, 100142.

   Paper2026
4. 4

   Vikas Kumar and Nitu Kumari (2026). Exploring the impact of time delay with fractional derivative and diffusion in a three species food chain model. Iranian Journal of Science, Volume 50, pages 837–856.

   Paper2026
5. 5

   A Kumar, Nitu Kumari, S Mandal, PK Tiwari (2025). Autonomous and nonautonomous dynamics of an SIRS model with convex incidence rate, Journal of the Franklin Institute, 108236.

   Paper2025
6. 6

   Anurag Singh and Nitu Kumari (2025). Data-driven Modeling of Moose-Wolf Prey-Predator Dynamics of Isle Royale National Park using SINDy Algorithm, Scientific Reports, Nature 15 (1), 34683. (IF = 3.8)

   Paper2025
7. 7

   Nitu Kumari and Anurag Singh (2025). Data-driven enhancement of the Hastings–Powell model using sparse identification algorithm, Journal of Computational Science (Springer), 102682.

   Paper2025
8. 8

   OJ Peter, Nitu Kumari, A Kumar, BI Omede, OP Ogunmola, GB Balogun (2025). Analysis and dynamics of rubella with control strategies: a data-driven mathematical modeling approach, Boletín de la Sociedad Matemática Mexicana 32 (1), 36.

   Paper2025
9. 9

   Kanav Singh Rana and Nitu Kumari (2025). Transformer-based Koopman Autoencoder for Linearizing Fisher’s Equation, 35, 053101, Chaos AIP Publishing, Wiley. (IF = 2.7, Q1 Journal, MCQ = 0.3)

   Paper2025
10. 10

    Shivesh Singh, Nitu Kumari and Aditya Nigam (2025). Deep spatio-temporal modeling of vegetation index and population density in Himachal Pradesh, India, Spatial Information Research, Springer, Volume 33, article number 26 (2025) (IF = 2.0, Q2 Journal)

    Paper2025
11. 11

    A Kumar, Nitu Kumari, S Kumar (2025). Modelling the Spread of Monkeypox in USA with Vertical Transmission and Saturated Treatment, Accepted, Physica Scripta (IF = 2.6, Q2 journal)

    Paper2025
12. 12

    Shubhangi Dwivedi, Bilel Elbetch, Nitu Kumari (2025). Species migration induced by fear triggers synchrony in two-habitat system. Journal of Computational Science, Elsevier. (IF = 4, Q1 Journal)

    Paper2025
13. 13

    Sumit Kumar, S. Sharma, A. Kashyap and Nitu Kumari, R. P. Agarwal (2025). Modelling the effect of environmental pollution on Zika outbreak: A case study of Brazil, Discrete and Continuous Dynamical Systems-S 18 (5), 1132-1158.

    Paper2025
14. 14

    S. Kundu, S. Kouachi, Sumit Kumar, Nitu Kumari (2024). Pattern formation and stability analysis in a delayed epidemic model with two aware classes, The European Physical Journal Plus, Springer, (2024) 139:1079.

    Paper2024
15. 15

    Sumit Kumar, S. Sharma, A. Kashyap and Nitu Kumari (2024). Role of Pollution in the Recent Zika Outbreak in Colombia: A Mathematical Study, Journal of Applied Nonlinear Dynamics. ESCI, 13, no. 3 : 491-505. (MCQ = 0.07)

    Paper2024
16. 16

    Shubhangi Dwivedi and Nitu Kumari (2023) Assessment of Parameters for Phase Synchronization of A Chaotic Food Chain System with Allee and Refugia Effects under Seasonal Fluctuations, Chaos, American Institute of Physics (IF = 3.74, MCQ = 0.35)

    Paper2023
17. 17

    Kanav Singh Rana and Nitu Kumari (2023) Application of Dynamic Mode Decomposition and Compatible Window-Wise Dynamic Mode Decomposition in deciphering COVID-19 dynamics of India, Computational and Mathematical Biophysics, De Gruyter (MCQ = 0.68)

    Paper2023
18. 18

    Shubhangi Dwivedi, S.Keerthana Perumal, Sumit Kumar, Samit Bhattacharyya and Nitu Kumari (2023) Impact of Cross border reverse migration in Delhi-UP region of India during COVID-19 Lockdown, Computational and Mathematical Biophysics, De Gruyter, 11, no. 1: 20220151 (MCQ = 0.68)

    Paper2023
19. 19

    Sumit Kumar, S. Sharma, A. Kashyap, Nitu Kumari and Ravi P. Agarwal (2023) Modelling the effect of environmental population on Zika outbreak: A case study of Brazil, Discrete and Continuous Dynamical Systems Series S, AIMS. (IF = 1.86, MCQ = 0.73)

    Paper2023
20. 20

    Nitu Kumari, Sumit Kumar, Sandeep Sharma, Fateh Singh and Rana Parshad (2023) Basic Reproduction Number Estimation and Forecasting of COVID-19: A Case Study of India, Brazil and Peru, Communications on Pure and Applied Analysis (AIMS), 22. No. 2 doi: 10.3934/cpaa.2021170. (IF = 1.916, MCQ = 0.94)

    Paper2023
21. 21

    Vikas Kumar and Nitu Kumari (2022) Stability and Bifurcation Analysis of Fractional-Order Delayed Prey–Predator System and the Effect of Diffusion, International Journal of Bifurcation and Chaos (World Scientific) https://doi.org/10.1142/S021812742250002X (IF = 2.83, MCQ = 0.23)

    Paper2022
22. 22

    Nitu Kumari and Vikas Kumar (2022) Controlling chaos and pattern formation study in a tritrophic food chain model with cannibalistic intermediate predator, European Physical Journal Plus, 137, Article number: 345 (IF = 3.758)

    Paper2022
23. 23

    V Kumar, Nitu Kumari, Ravi P Agarwal (2022) Spatiotemporal dynamics and Turing patterns in an eco-epidemiological model with cannibalism, Results in Control and Optimization 9, 100183

    Paper2022
24. 24

    S Dwivedi, Nitu Kumari, R K Upadhyay (2022) Chaos synchronization: Using prey abundance to synchronize two chaotic GLV models, (Accepted), Journal of Dynamical Systems and Geometric Theories, Taylor & Francis Publ. (MCQ = 0.15)

    Paper2022
25. 25

    O.J. Peter, A. Yusuf, M.M. Ojo, Sumit Kumar, Nitu Kumari, F.A. Oguntolu (2022) A Mathematical Model Analysis of Meningitis with Treatment and Vaccination in Fractional Derivatives. International Journal of Applied and Computational Mathematics 8, 117, https://doi.org/10.1007/s40819-022-01317-1 (MCQ = 0.18)

    Paper2022
26. 26

    Peter, O. J., Sumit Kumar, Nitu Kumari, Oguntolu, F. A., Oshinubi, K., & Musa, R. (2022). “Transmission dynamics of Monkeypox virus: a mathematical modelling approach”. Modeling Earth Systems and Environment, Springer, 8, pp. 3423–3434.

    Paper2022
27. 27

    Soumen Kundu, Nitu Kumari, Said Kouachi and Piu Kundu (2022) “Stability and bifurcation analysis of a heroin model with diffusion, delay and nonlinear incidence rate”, Modeling Earth Systems and Environment (Springer), 8, pp.1351–1362.

    Paper2022
28. 28

    Shubhangi Dwivedi, Nitu Kumari and Ranjit Kumar Upadhyay (2021) Chaos Synchronization of Two Coupled GLV Models using Active and Adaptive Control Techniques, Journal of Dynamical Systems and Geometric Theories, Taylor & Francis (MCQ = 0.15)

    Paper2021
29. 29

    Nishith Mohan and Nitu Kumari (2021) Coexistence States of a Ratio-Dependent Predator-Prey Model with Nonlinear Diffusion, 176, Art 11, Acta Applicandae Mathematicae (IF = 1.56, MCQ = 0.86)

    Paper2021
30. 30

    Vikas Kumar and Nitu Kumari (2021) “Bifurcation study and pattern formation analysis of a tritrophic food chain model with group defense and Idle-like nonmonotonic functional response”, Chaos, Solitons and Fractals (Elsevier), 147, 110964 https://doi.org/10.1016/j.chaos.2021.110964 (IF: 7.8, MCQ = 0.68)

    Paper2021
31. 31

    Nishith Mohan and Nitu Kumari (2021) “Positive steady states of a SI epidemic model with cross diffusion” Applied Mathematics and Computation (Elsevier) (IF: 4.39, MCQ = 0.7)

    Paper2021
32. 32

    Nitu Kumari and Shubhangi Dwivedi (2020) Fundamental Concepts of Synchronization: An Introduction: From Classical to Modern Resonance, 25, 539-565

    Paper2020
33. 33

    Nitu Kumari and Nishith Mohan (2020) “Positive solutions and pattern formation in a diffusive tritrophic system with Crowley–Martin functional response.” Nonlinear Dynamics (Springer) 1-22 (Impact factor 4.604)

    Paper2020
34. 34

    Vikas Kumar, Nitu Kumari (2020) “Controlling chaos in three species food chain model using fear effect”, AIMS Mathematics 5(2): 828-842.

    Paper2020
35. 35

    Sandeep Sharma and Nitu Kumari (2020) Modeling the impact of rain on population exposed to air pollution, International Journal of Nonlinear Sciences and Numerical Simulations (De Gruyter), https://doi.org/10.1515/ijnsns-2017-0109 (Impact factor 1.033)

    Paper2020
36. 36

    Vikas Kumar and Nitu Kumari (2020) “Stability and Bifurcation Analysis of Hassell-Varley Prey-Predator System with Fear Effect”, International Journal of Applied and Computational Mathematics (Springer)

    Paper2020
37. 37

    Binayak Nath, Vikas Kumar, Nitu Kumari, Prodip Roy and Krishna Pada Das (2020) “Role of Cannibalism in Controlling Chaos in Leslie-Gower-type Tritrophic Food Chain Model”, Nonlinear Studies, 27(3).

    Paper2020
38. 38

    B. Nath, Vikas Kumar, Nitu Kumari, S Maiti and K P Das (2020) “A Study of Chaos and its Possible Control in an Eco-epidemiological Model with an Alternative Food Source in Predator and Weak Allee Effect in Prey Species” Nonlinear Studies, 27(3).

    Paper2020
39. 39

    Nitu Kumari and Nishith Mohan (2019) Cross Diffusion Induced Turing patterns in a Tritrophic food chain model with Crowley Martin Functional Response, Mathematics (MDPI), Special Issue: Partial Differential Equations in Ecology: 80 years and Counting, Vol. 7 (3), pp. 229. (Impact factor 1.105)

    Paper2019
40. 40

    B Nath, Nitu Kumari, V Kumar, KP Das (2019) Refugia and Allee Effect in Prey Species Stabilize Chaos in a Tri-Trophic Food Chain Model, Differential Equations and Dynamical Systems (Springer), pp. 1-27

    Paper2019
41. 41

    Sandeep Sharma and Nitu Kumari (2019) Dynamics of a waterborne pathogen model under the influence of environmental pollution, Applied Mathematics and Computation (Elsevier). Vol 346, pp. 219-243 (Impact factor 3.092)

    Paper2019
42. 42

    Nitu Kumari and Sandeep Sharma (2018) Modeling the dynamics of infectious disease under the influence of environmental pollution, International Journal of Applied and Computational Mathematics (Springer). Vol. 4 (3) Article 84.

    Paper2018
43. 43

    Sandeep Sharma and Nitu Kumari (2017) Backward Bifurcation in a Cholera Model: A case study of outbreak in Zimbabwe and Haiti, International Journal of Bifurcation and Chaos (World Scientific), Vol 27 (11), pp. 1750170 (20 pages) (Impact factor 2.145)

    Paper2017
44. 44

    Sandeep Sharma and Nitu Kumari (2017) Why to consider environmental pollution in cholera modelling?, Mathematical Methods in Applied Sciences (Wiley), Vol 40 (18), pp. 6348-6370 (Impact factor 1.017)

    Paper2017
45. 45

    R. D. Parshad, S. Kouachi, Nitu Kumari, and H. A. Abderrahmane (2017) Global Existence and Long Time Dynamics of a Four Compartment Brusselator Type System, Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, Vol. 24, pp. 79-120

    Paper2017
46. 46

    Nitu Kumari and Sandeep Sharma (2016) Does water disinfectant play a supportive role in the spread of infectious disease? A mathematical study, Natural Resource Modeling (Wiley), Vol. 29(2), pp. 259-288 (Impact factor 1.196)

    Paper2016
47. 47

    R. D. Parshad, S. Kouachi, and Nitu Kumari (2016) A Comment on “Mathematical study of a Leslie-Gower type tritrophic population model in a polluted environment” [Modeling Earth Systems and Environment 2 (2016) 1-11.], Modeling Earth Systems and Environment (Springer) Vol. 2, pp. 93

    Paper2016
48. 48

    R. D. Parshad, S. Bhowmick, V. Chand, Nitu Kumari and N. Sinha (2016) What is India Speaking? Exploring the “Hinglish” Invasion, Physica A (Elsevier), Vol. 449, pp. 375-389 (Impact factor 1.732)

    Paper2016
49. 49

    R.D. Parshad, K. Black, E. Quansah, R.K. Upadhyay, S.K. Tiwari and Nitu Kumari (2016) Long time dynamics of a three-species food chain model with Allee effect in the top predator, Computers and Mathematics with Applications (Elsevier), Vol. 71, pp. 503-528 (Impact factor 1.697)

    Paper2016
50. 50

    R. D. Parshad, Nitu Kumari, Said Kouachi (2015) A remark on “Study of a Leslie Gower type tritrophic population model [Chaos Solitons and Fractals 14 (2002) 1275-1293]”, Chaos Solitons & Fractals (Elsevier), Vol. 71, pp. 22-28 (Impact factor 1.448)

    Paper2015
51. 51

    R. D. Parshad, Nitu Kumari, A. Kasimov and H. A. Abderrahmane (2014) Turing patterns and long time behavior in a three species food chain model, Mathematical Biosciences (Elsevier), Vol. 254, pp. 83-102 (Impact factor 1.622)

    Paper2014
52. 52

    Nitu Kumari (2013) “Pattern Formation in Spatially Extended Tritrophic Food Chain Model Systems: Generalist versus Specialist top predator”, ISRN Biomathematics, Article id 198185

    Paper2013
53. 53

    R. D. Parshad, H. A. Abderrahmane, R. K. Upadhyay, and Nitu Kumari (2013) “Finite time blow up in a realistic food chain model”, ISRN Biomathematics, Article id 424062

    Paper2013
54. 54

    V. Rai, R.K. Upadhyay, S. N. Raw and Nitu Kumari (2011) “Some aspects of animal behavior and community dynamics”, Computational Ecology and Software, Vol. 1, No.3, pp. 153-182 (Impact factor 0.1176)

    Paper2011
55. 55

    R.K. Upadhyay, Nitu Kumari and Vikas Rai (2010) “Modeling spatiotemporal dynamics of vole populations in Europe and America”, Mathematical Biosciences (Elsevier), Vol. 223, pp. 47-57 (Impact factor 1.622)

    Paper2010
56. 56

    B. Dubey, Nitu Kumari and R. K. Upadhyay (2009) Spatiotemporal pattern formation in a diffusive predator-prey system: An analytical approach, Journal of Applied Mathematics and Computing (Springer-Verlag), Vol. 31, pp. 413-432

    Paper2009
57. 57

    R. K. Upadhyay, Nitu Kumari and Vikas Rai (2009) Wave of chaos in a diffusive system: Generating realistic patterns of patchiness in plankton fish dynamics, Chaos Solitons and Fractals (Elsevier), Vol. 40, No. 1, pp. 262-276 (Impact factor 1.448)

    Paper2009
58. 58

    R. K. Upadhyay, Nitu Kumari and Vikas Rai (2009) Exploring dynamical complexity in diffusion driven predator-prey systems: effect of toxin producing phytoplankton and spatial heterogeneities, Chaos Solitons and Fractals (Elsevier), Vol. 42, pp. 584-594 (Impact factor 1.448)

    Paper2009
59. 59

    R. K. Upadhyay, Nitu Kumari and Vikas Rai (2009) “Wave phenomena and edge of chaos in a predator-prey system under Allee effect”, Differential Equations and Dynamical Systems (Springer-Verlag), Vol. 13, No. 3, pp. 301-317

    Paper2009
60. 60

    R. K. Upadhyay, Nitu Kumari and V. S. H. Rao (2008) Modelling the spread of Bird Flu and predicting outbreak diversity, Nonlinear Analysis: Real World Applications (Elsevier), Vol. 9, pp. 1638-1648 (Impact factor 2.519)

    Paper2008
61. 61

    R. K. Upadhyay, Nitu Kumari and Vikas Rai (2008) Wave of chaos and pattern formation in a spatial predator-prey system with Holling type IV functional response, Mathematical Modelling in Natural Phenomena, Vol. 3, No. 4, pp. 71-95 (Impact factor 0.725)

    Paper2008
62. 62

    R. K. Upadhyay, R. K. Naji and Nitu Kumari (2007) Dynamical complexity in some ecological models: effect of toxin production by phytoplankton, Nonlinear Analysis: Modelling and Control, Vol. 12, No. 1, pp. 1-16 (Impact factor 1.099)

    Paper2007