Faculty Dr Arun Kumar

Dr Arun Kumar

Assistant Professor

Department of Mathematics

Contact Details

arunkumar.bi@srmap.edu.in

Office Location

Education

2023
PhD
Banaras Hindu University, Uttar Pradesh
2017
MSc in Mathematics
Banaras Hindu University, Uttar Pradesh
2015
BSc
Choudhary Charan Singh University, Uttar Pradesh

Personal Website

Experience

  • Assistant Professor (August 2023 to December 2023), NIET, Greater Noida - Department of Mathematics
  • Two years Postdoc at IIT Mandi (April 2024 - April 2026)

Research Interest

  • My research focuses on the mathematical modeling and simulation of complex nonlinear dynamical systems in epidemiology and ecology, utilizing both ordinary and partial differential equations to study stability, bifurcations, chaos and spatio-temporal pattern formation. Additionally, I integrate data-driven techniques, parameter estimation, and machine learning algorithms to bridge theoretical models with experimental datasets for real-world applications.
  • Currently, my work focuses on constructing mechanistic models to analyze the spatio-temporal dynamics of disease spread across both spatial and non-spatial environments. To support this, I am actively developing deep learning algorithms to solve reaction-diffusion and advection systems, while employing modern data-driven frameworks for parameter estimation, sensitivity analysis, and forecasting using complex environmental and epidemiological datasets.

Awards

  • International Travel support by ANRF
  • SMB- Funding support of $750

Memberships

  • Indian Mathematical Society (IMS)
  • Society of Mathematical Biology (SMB)

Publications

Patents

Projects

Scholars

Interests

  • Chaos Analysis
  • Data Driven Dynamical Systems
  • Delay Differential Equation
  • Ecology
  • Mathematical Modelling and Simulations
  • Nonlinear Dynamical Systems
  • Parameter Estimation from Experimental datasets
  • Pattern Formation
  • Sensitivity Analysis
  • Spatio-temporal Models
  • Stability and Bifurcations Analysis

Thought Leaderships

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Top Achievements

Research Area

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Computer Science and Engineering is a fast-evolving discipline and this is an exciting time to become a Computer Scientist!

Computer Science and Engineering is a fast-evolving discipline and this is an exciting time to become a Computer Scientist!

Recent Updates

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Education
2015
BSc
Choudhary Charan Singh University
2017
MSc in Mathematics
Banaras Hindu University
2023
PhD
Banaras Hindu University
Experience
  • Assistant Professor (August 2023 to December 2023), NIET, Greater Noida - Department of Mathematics
  • Two years Postdoc at IIT Mandi (April 2024 - April 2026)
Research Interests
  • My research focuses on the mathematical modeling and simulation of complex nonlinear dynamical systems in epidemiology and ecology, utilizing both ordinary and partial differential equations to study stability, bifurcations, chaos and spatio-temporal pattern formation. Additionally, I integrate data-driven techniques, parameter estimation, and machine learning algorithms to bridge theoretical models with experimental datasets for real-world applications.
  • Currently, my work focuses on constructing mechanistic models to analyze the spatio-temporal dynamics of disease spread across both spatial and non-spatial environments. To support this, I am actively developing deep learning algorithms to solve reaction-diffusion and advection systems, while employing modern data-driven frameworks for parameter estimation, sensitivity analysis, and forecasting using complex environmental and epidemiological datasets.
Awards & Fellowships
  • International Travel support by ANRF
  • SMB- Funding support of $750
Memberships
  • Indian Mathematical Society (IMS)
  • Society of Mathematical Biology (SMB)
Publications
Contact Details

arunkumar.bi@srmap.edu.in

Scholars
Interests

  • Chaos Analysis
  • Data Driven Dynamical Systems
  • Delay Differential Equation
  • Ecology
  • Mathematical Modelling and Simulations
  • Nonlinear Dynamical Systems
  • Parameter Estimation from Experimental datasets
  • Pattern Formation
  • Sensitivity Analysis
  • Spatio-temporal Models
  • Stability and Bifurcations Analysis

Education
2015
BSc
Choudhary Charan Singh University
2017
MSc in Mathematics
Banaras Hindu University
2023
PhD
Banaras Hindu University
Experience
  • Assistant Professor (August 2023 to December 2023), NIET, Greater Noida - Department of Mathematics
  • Two years Postdoc at IIT Mandi (April 2024 - April 2026)
Research Interests
  • My research focuses on the mathematical modeling and simulation of complex nonlinear dynamical systems in epidemiology and ecology, utilizing both ordinary and partial differential equations to study stability, bifurcations, chaos and spatio-temporal pattern formation. Additionally, I integrate data-driven techniques, parameter estimation, and machine learning algorithms to bridge theoretical models with experimental datasets for real-world applications.
  • Currently, my work focuses on constructing mechanistic models to analyze the spatio-temporal dynamics of disease spread across both spatial and non-spatial environments. To support this, I am actively developing deep learning algorithms to solve reaction-diffusion and advection systems, while employing modern data-driven frameworks for parameter estimation, sensitivity analysis, and forecasting using complex environmental and epidemiological datasets.
Awards & Fellowships
  • International Travel support by ANRF
  • SMB- Funding support of $750
Memberships
  • Indian Mathematical Society (IMS)
  • Society of Mathematical Biology (SMB)
Publications
Contact Details

arunkumar.bi@srmap.edu.in

Scholars