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I am working as an Assistant Professor at IIT Madras, Zanzibar. I have completed my Ph.D. from the School of Mathematical and Statistical Sciences, Indian Institute of Technology Mandi (IIT Mandi). Our research focuses on studying qualitative properties of population dynamics models, particularly age and size-structured population models. We employ a range of analytical and numerical techniques to investigate the qualitative aspects of these models. These techniques include semi-groups of linear or non-linear operators, the method of characteristics, optimal control theory, measure theoretical techniques, and finite difference schemes. 

I obtained my master's degree from the Indian Institute of Technology Ropar (IIT Ropar) in 2018 and received a certificate of merit for obtaining the highest CGPA in M.Sc Mathematics. In 2016, I completed my B.Sc (Hons.) from Himachal Pradesh University (HPU) and was awarded the first position overall for achieving the highest CGPA at Govt. College Bilaspur.


Research Highlights

Population density of infected CD4+ T cells in age-structured HIV model 

Kumar and Abbas

Relation between age and crime in age-structured social interaction model

Kumar and Abbas

Population density of infected individuals in age-structured SEQIR model

Kumar and Abbas

Significance of time dependent diffusion rate in size-structured diffusive model 

Kumar and Abbas