Research

Research interest:

My research interest lies in understanding mainly the transmission and control mechanisms of infectious diseases. To understand the disease progression in the population level more accurately, it is very important to understand the dynamics of the pathogen within the infected host, which can vary depending upon the time-since-infection. I mainly focus on immuno-epidemic models described by systems of integro-differential equations, with time distributed parameters. Using mathematical tools, I investigate the existence and uniqueness of positive solutions for our systems and derive analytical expressions for various epidemiological characteristics. Additionally, I utilize statistical tools to estimate the time-distributed parameters involved in our models based on real data. Furthermore, I am working on nonlocal reaction-diffusion systems to understand the mechanisms of virus mutation and the re-emergence of epidemics. 

Journal articles:

• Aniţa, S., Banerjee, M., Ghosh, S., Volpert, V. (2021). Vaccination in a two-group epidemic model. Applied Mathematics Letters (Q1, I.F.-3.7, MCQ-1.25), 119, 107197 (link).

• Ghosh, S., Volpert, V., Banerjee, M. (2022b). An epidemic model with time-distributed recovery and death rates. Bulletin of Mathematical Biology (Q1, I.F.-3.5, MCQ-0.59), 84(8), 1–19 (link).

• Ghosh, S., Volpert, V., Banerjee, M. (2022a). An epidemic model with time delay determined by the disease duration. Mathematics (Q2, I.F.-2.4), 10(15), 2561 (link).

• Ghosh, S., Banerjee, M., Volpert, V. (2022). Immuno-epidemiological model-based prediction of further COVID-19 epidemic outbreaks due to immunity waning. Mathematical Modelling of Natural Phenomena (Q2, I.F.-2.2, MCQ-0.62), 17, 9 (link).

• Banerjee, M., Ghosh, S. (2022). Behavioral and game-theoretic modeling of dengue epidemic: Comment on “mathematical models for dengue fever epidemiology: A 10-year systematic review” by M. Aguiar et al. Physics of Life Reviews (Q1, I.F.-11.7), 43, 20–22 (link).

• Ghosh, S., Volpert, V., Banerjee, M. (2023). An age-dependent immuno-epidemiological model with distributed recovery and death rates. Journal of Mathematical Biology (Q1, I.F.-1.9, MCQ-0.91), 86, 21 (link).

• Banerjee, M, Ghosh, S., Manfredi, P., D'Onofrio, A. (2023). Spatio-temporal chaos and clustering induced by nonlocal information and vaccine hesitancy in the SIR epidemic model. Chaos Solitons \& Fractals (Q1, I.F.-7.8, MCQ-0.68), 170,113339 (link).

• Saade, M, Ghosh, S., Banerjee, M., Volpert, V. (2023). An Epidemic Model with Time Delays Determined by the Infectivity and Disease Durations. Mathematical Biosciences and Engineering (Q1, I.F.-2.6, MCQ-0.43), 20, 12864--12888 (link).

• Ghosh, S., Ogueda-Oliva, A., Ghosh A., Banerjee, M., Seshaiyer, P. (2023). Understanding the implications of Under-Reporting, Vaccine Efficiency and Social Behavior on the Post-Pandemic spread using Physics Informed Neural Networks: A case study of China. PLoS ONE (Q1, I.F.-3.75), 18(11), e0290368 (link).

• Saade, M, Ghosh, S., Banerjee, M., Volpert, V. (2024). Delay epidemic models determined by latency, infection, and immunity duration. Mathematical Biosciences (Q1, I.F.-4.3, MCQ-0.51), 370, 109155 (link).

Book Chapters:

• Banerjee, M., Ghosh, S.,  Volpert, V. (2022). Epidemic progression in a heterogeneously distributed population,267-317 (42). Moving From COVID-19 Mathematical Models to Vaccine Design: Theory, Practice and Experiences, ISBN: 978-981-5051-91-9(Print), Bentham Publications (link).

Conference proceedings:

• Ghosh, S., Banerjee, M. (2021). A multi-strain model for COVID-19. International Conference on Nonlinear Applied Analysis and Optimization,  Springer, 125-141 (link).

Conferences and workshops attended:

• Participated and presented my work in the Conference on Nonlinear Systems and Dynamics (CNSD) 2022, IISER Pune, India.

• Participated and presented my work in the Annual Departmental Open House-2023, IIT Kanpur, India.

• Participated and presented my work in the Workshop on Mathematical modelling in biology and medicine-2023, Arpino, Italy.

• Presented my work in the Young Researcher Seminar-18 October, 2023, University Lyon 1, 69622, Villeurbanne, France.

• Participated and presented my work in the  Annual Symposium on Biomathematics and Ecology Education and Research,- 4, 5 November, 2023, Illinois State University, USA.

• Participated in the Workshop on Modelling of infectious diseases--Malaria, 28-29, Nov., 2023, at National Disease Modelling Consortium, IIT Bombay, India.

• Participated and presented my work in the ICNAAO-2023,- 8-10 December, 2023, NIT Durgapur, India.

• Participated in the Measles and rubella transmission modeling workshop, 5-8, February, 2024, at National Disease Modelling Consortium, IIT Bombay, India.

Served as reviewer in Journals:

• Mathematical Modelling of Natural Phenomena

• Applied Mathematical Modelling