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Photo of Dr. Manoj Kumar

Dr. Manoj Kumar

Faculty - School of Engg. & Science

manoj@iitmz.ac.in

website

Educational Qualifications

PhD 2023

School of Mathematical and Statistical Sciences

IIT Mandi

MSc 2018

Mathematics

IIT Ropar

BSc (Hons) 2016

Mathematics

Himachal Pradesh University

Awards

  • Qualified CSIR

    National Eligibility Test (2019) and Graduate Aptitude Test in Engineering (GATE-2018)

  • Certificate of merit for highest CGPA

    IIT Ropar, 2018

  • Certificate of merit

    Himachal Pradesh University Shimla, 2016

Research Interests

My Research interests lie in the field of age and size-structured population models, with a specific focus on their applications in epidemiology and criminology. My primary research interests revolve around investigating the influence of structural variables on diverse ecological populations and the dynamics of infectious diseases. To study these models, we employ a multidisciplinary approach that encompasses deterministic and stochastic Partial Differential Equations (PDEs), Bayesian statistics, and control theory.

Selected Papers

2023

Modelling and prevention of crime using age-structure and law enforcement

M. Kumar

S. Abbas

J. Math. Anal. Appl., 519 126849

2023

Diffusive size-structured population model with time-varying diffusion rate

M. Kumar

S. Abbas

Discrete Contin. Dyn. Syst. Ser. B, 28, 1414-1435

2023

Analysis of Diffusive Size-Structured Population Model and Optimal Birth Control

M. Kumar

S. Abbas

Evol. Equ. Control Theory, 12, 423-445.

2022

Global Dynamics of an Age-Structured Model for HIV Viral Dynamics with Latently Infected T Cells

M. Kumar

S. Abbas

Math. Comput. Simulation. 198, 237-252.

2022

Analysis of steady-state solutions to an age-structured SEQIR model with optimal vaccination

M. Kumar

S. Abbas

Math. Methods Appl. Sci., 45, 10718-10735

2022

Analysis of Diffusive Size-Structured Population Model with Stochastic Perturbation

M. Kumar

S. Abbas

Differential Integral Equations. 35, 641-658

2022

A novel method for basic reproduction ratio of a diffusive size-structured population model with delay

M. Kumar

S. Abbas

A Tridane

Nonlinear Dynamics, 109 3189-3198.

2023

Optimal control and stability analysis of an age-structured SEIRV model with imperfect vaccination

M. Kumar

S. Abbas

A Tridane

Math. Biosci. Eng., 20, 14438-14463

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