Dr. Arun Kumar

About

I am currently working in the field of Mathematical Modelling and Simulations. Basically, Epidemiology and Ecology include Stability Analysis, Bifurcation Analysis, Turing Instability, and pattern formation.

Employment

• Indian Institute of Technology Mandi Research Associate
  2024 - Present

Education

• Indian Institute of Technology Mandi Research Associate
  2024 - 2024

Projects & Funding

Projects & funding information is unavailable.

Publications (8)

• Exploring the Impact of Saturated Treatment on Spatial Patterns via a Reduced SIR Model Analysis
  Differential Equations and Dynamical Systems 2026 DOI: 10.1007/s12591-026-00785-x
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• The first mathematical model for elk–wolf interaction in Yellowstone National Park using the E-SINDy algorithm
  Ecological Modelling 2026 DOI: 10.1016/j.ecolmodel.2026.111574
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• Autonomous and non-autonomous dynamics of an SIRS model with convex incidence rate
  Journal of the Franklin Institute 2025 DOI: 10.1016/j.jfranklin.2025.108236
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• A Nonlinear Cross-Diffusion Model for Disease Spread: Turing Instability and Pattern Formation
  Mathematics 2025 DOI: 10.3390/math13152404
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• Modelling the spread of MonkeyPox in USA with vertical transmission and saturated treatment
  Physica Scripta 2025 DOI: 10.1088/1402-4896/ada3a5
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• The complex dynamical study of a UAI epidemic model in non-spatial and spatial environments
  The European Physical Journal Plus 2024 DOI: 10.1140/epjp/s13360-024-04889-7
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• Influences of nonlinear cross-diffusion on a reduced SI epidemic model with saturated treatment
  2022 DOI: 10.21203/rs.3.rs-2214441/v1
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• Endemic bubble and multiple cusps generated by saturated treatment of an SIR model through Hopf and Bogdanov–Takens bifurcations
  Mathematics and Computers in Simulation 2022 DOI: 10.1016/j.matcom.2022.01.025
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