Dr. Anuj Kumar

About

My broad area of research includes mathematical modeling in epidemiology, ecology, applications of differential equations in biology, stability, and bifurcation analysis. More precisely, mathematical modeling, analysis, and control of the spread of infectious diseases through various control interventions with the help of optimal control theory.

Employment

• Thapar Institute of Engineering and Technology (Deemed to be University) Assistant Professor

Education

• Indian Institute of Technology Patna PhD

Projects & Funding

Projects & funding information is unavailable.

Publications (19)

• Optimal Control Analysis and Cost – Effectiveness of Dengue Transmission Model Along With Implementation Time Effects in Applying the Control Interventions
  Optimal Control Applications and Methods 2026 DOI: 10.1002/oca.70127
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• Modeling and Optimal Control of Infectious Diseases With Information's Impact on Behavioural Change and on Vaccination Under Saturated Medical Environment and Time Delays in Controls
  Optimal Control Applications and Methods 2026 DOI: 10.1002/oca.70071
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• Stability and bifurcation analysis of a delayed information-induced SIR model with generalized incidence function and Holling Type II treatment
  Mathematics and Computers in Simulation 2026 DOI: 10.1016/j.matcom.2026.06.022
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• Modeling and Optimal Management of Control Policies for Vector‐Borne Diseases: A Study of Cost‐Effectiveness and Policy Impact
  Optimal Control Applications and Methods 2025 DOI: 10.1002/oca.70035
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• Period-doubling cascade to chaos and optimal quadratic harvesting in a prey–predator–scavenger model using Crowley–Martin functional response
  Scientific Reports 2025 DOI: 10.1038/s41598-025-16107-0
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• Role of Optimal Screening and Treatment on Infectious Diseases Dynamics in Presence of Self-protection of Susceptible
  Differential Equations and Dynamical Systems 2023 DOI: 10.1007/S12591-019-00467-X
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• Stability switches, periodic oscillations and global stability in an infectious disease model with multiple time delays
  Mathematical Biosciences and Engineering 2023 DOI: 10.3934/MBE.2023487
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• Study of the impact of information and limited medical resources on Zika prevalence: an optimal control approach
  The European Physical Journal Plus 2023 DOI: 10.1140/EPJP/S13360-023-04665-Z
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• Modeling and optimal control of dengue disease with screening and information
  The European Physical Journal Plus 2021 DOI: 10.1140/EPJP/S13360-021-02164-7
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• Nonlinear dynamical behavior of an SEIR mathematical model: Effect of information and saturated treatment
  Chaos 2021 DOI: 10.1063/5.0039048
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