2025

1.  Mehta, Suman, Amar Nath Chatterjee, and Fahad Al Basir. "AI in the Medical System: Exploring its Role and Future in Healthcare Innovation." Applied Mathematical Biosystems 1, no. 1 (2025): 50-54. 

2. Samui, Piu, Samapti Mondal, Jayanta Mondal, and Amar Nath Chatterjee. "Effect of vaccination to control measles epidemic in light of economic progression: P. Samui et al." International Journal of Dynamics and Control 13, no. 10 (2025): 359. 

3. Amar Nath Chatterjee, Santosh Kumar Sharma, Fahad Al Basir, and Aeshah A. Raezah. "A dynamics and control study of the new H1N1 influenza with two roots of infection: the impact of optimal vaccination and treatment." Mathematics 13, no. 19 (2025): 3086. 

4. Das, Subhadipa, Amar Nath Chatterjee, and Sourav Rana. "Complex Dynamics of a Discrete Time One Prey Two Predator System with Prey Refuge." International Journal of Applied and Computational Mathematics 11, no. 3 (2025): 86. 

5. Samui, Piu, Jayanta Mondal, and Amar Nath Chatterjee. "A delay differential equation model of SEIV in presence of media coverage." International Journal of Nonlinear Analysis and Applications 16, no. 6 (2025): 47-58. 

6. Bag, Amit Kumar, Salil Ghosh, Amar Nath Chatterjee, and Priti Kumar Roy. "A mathematical framework investigating the impact of Chemo-iPSC therapy for the dynamics of cervical cancer." Journal of Applied Mathematics and Computing (2025): 1-33. 

7. Bag, Amit Kumar, and Amar Nath Chatterjee. "The Role of Screening Programs." Mathematical Analysis and Applications in Biological Phenomena through Modelling: ICMAAM-2023, Kolkata, India, October 9–11 478 (2025): 211. 

8. Mehta, Suman, and Amar Nath Chatterjee. "Deep Learning for Medical Image Analysis: Advances, Challenges and Future Prospects." Journal of Artificial Intelligence & Cloud Computing. SRC/JAICC-457. DOI: doi. org/10.47363/JAICC/2025 (4) 430 (2025): 2-5. 

9. Al Basir, Fahad, and Amar Nath Chatterjee. "A mathematical model for the dynamics of visceral leishmaniasis disease with time delay." In Mathematical Modeling in Bioscience, pp. 107-121. Academic Press, 2025. 

10. Amar Nath Chatterjee, Al Basir, Fahad. "A mathematical model for the dynamics of visceral leishmaniasis disease with time delay ." Mathematical Modeling in Bioscience Theory and Applications , Elsevier , 2025

11. Fahad Al Basir, KS Nisar, IM Alsulami, Amar Nath Chatterjee " Dynamics and optimal control of an extended SIQR model with protected human class and public awareness" European Physical Journal Plus (2025).

12.      Samui, Piu, Jayanta Mondal, Amar Nath Chatterjee, and Fahad Al Basir. "Impact of awareness in self–monitoring of COVID-19: An optimal control approach." Results in Control and Optimization (2025): 100513.

13.      Amar Nath Chatterjee, Teklebirhan Abraha, Fahad Al Basir, and Delfim FM Torres. "A model for the dynamics of COVID-19 infection transmission in human with latent delay." Afrika Matematika 36, no. 1 (2025): 1-23.

14.      Amar Nath Chatterjee Santosh Kumar Sharma, Sourav Rana “Dynamic Analysis of Nonlinear Stochastic DENGUE Epidemic Model”, Journal of Applied Nonlinear Dynamics, 14 (3) (2025).

2024

15. Mondal, J., Samui, P., Amar Nath Chatterjee and Ahmad, B., “Modeling hepatocyte apoptosis in chronic HCV infection with impulsive drug control”, Applied Mathematical Modelling, 136 (2024).

16.     Amar Nath Chatterjee, Santosh Kumar Sharma, and Fahad Al Basir. "A Compartmental Approach to Modeling the Measles Disease: A Fractional Order Optimal Control Model." Fractal and Fractional 8, no. 8 (2024): 446.

17.     Bag, Avik, Jayanta Mondal, and Amar Nath Chatterjee. "Role of Environmental Contamination in Measles Transmission dynamics." Corrosion Management ISSN: 1355-5243 34, no. 1 (2024): 165-185.

2023

18.    Amar Nath Chatterjee, Jayanta Mondal, and Piu Samui. "A delay differential equation model of SEIV in presence of media coverage." International Journal of Nonlinear Analysis and Applications (2023).

19. Sharma, Santosh Kumar, Amar Nath Chatterjee, and Fahad Al Basir. "Hopf bifurcation and optimal control of HCV/HIV co-infection dynamics within human: a theoretical study." Results in Control and Optimization 11 (2023): 100234.

20. Amar Nath Chatterjee, and Fahad Al Basir. "Modeling of the effects of media in the course of vaccination of rotavirus." In Advances in Epidemiological Modeling and Control of Viruses, pp. 169-189. Academic Press, 2023.

21.  Suman Mehta, Amar Nath Chatterjee. "AN INVESTIGATION ON THE ARCHITECTURE OF PUBLIC HEALTH INFORMATION SYSTEM BY USING ARTIFICIAL INTELLIGENCE” The Seybold Report 11 (2023).

22.   Suman Mehta, Amar Nath Chatterjee, " METHODS OF LUNGS DISEASE DIAGNOSIS THROUGH MACHINE LEARNING."  Jilin DaxueXuebao42 (2023): 09-2023.

2022

23.     Samui, Piu, Jayanta Mondal, Bashir Ahmad, and Amar Nath Chatterjee. "Clinical effects of 2-DG drug restraining SARS-CoV-2 infection: A fractional order optimal control study." Journal of Biological Physics 48, no. 4 (2022): 415-438.

24.     Amar Nath Chatterjee, Fahad Al Basir, Dibyendu Biswas, and Teklebirhan Abraha. "Global Dynamics of SARS-CoV-2 Infection with Antibody Response and the Impact of Impulsive Drug Therapy." Vaccines 10, no. 11 (2022): 1846.

25.        J. Mondal, Jayanta, P. Samui, and Amar Nath Chatterjee "Modelling of contact tracing in determining critical community size for infectious diseases." Chaos, Solitons & Fractals 159 (2022): 112141.

26.        Amar Nath Chatterjee, F. A. Basir, B. Ahmad, A. Alsaedi. "A Fractional-Order Compartmental Model of Vaccination for COVID-19 with the Fear Factor." Mathematics 10, no. 9 (2022): 1451.

27.        A. K. Roy, F. A. Basir, P. K. Roy, Amar Nath Chatterjee (2022) “A model analysis to measure the adherence of Etanercept and Fezakinumab therapy for the treatment of psoriasis”, Nonlinear Analysis: Modelling and Control, 27, pp. 1-21.

28.        B. Wanga, J. Mondal, P. Samui, Amar Nath Chatterjee, A. Yusuf,  (2022) “Effect of an antiviral drug control and its variable order fractional network in host COVID-19 kinetics.” Eur. Phys. J. Spec. Top. (2022).

29.        J. Mondal, P. Samui, Amar Nath Chatterjee, “Dynamical demeanour of SARS-CoV-2 virus undergoing immune response mechanism in COVID-19 pandemic.” Eur. Phys. J. Spec. Top. (2022).

2021

30.        J. Mondal, P. Samui, Amar Nath Chatterjee. (2021) “Effect of SOF/VEL Antiviral Therapy for HCV Treatment”. Letters in Biomathematics 8 (1), 191–213.

31.        Amar Nath Chatterjee, F. A. Basir, MA. Almuqrin, J.  Mondal,  I. Khan. (2021) “SARS-CoV-2 infection with lytic and non-lytic immune responses: A fractional order optimal control theoretical study.” Results in physics. 2021 Jul 1;26:104260.

32.     Amar Nath Chatterjee,  B. Ahmad. "A fractional-order differential equation model of COVID-19 infection of epithelial cells." Chaos, Solitons & Fractals 147 (2021): 110952.

33.     S. Ghosh,  Amar Nath Chatterjee, P. K. Roy, N. Grigorenko, E. Khailov, and E. Grigorieva. "Mathematical Modeling and Control of the Cell Dynamics in Leprosy." Computational Mathematics and Modeling (2021): 1-23.

34.        Amar Nath Chatterjee, F. A.  Basir,  Y. Takeuchi,  (2021)  “Effect of DAA therapy in hepatitis C treatment—an impulsive control approach” [J]. Mathematical BiosciencesandEngineering, 18(2),pp.1450-1464.

2020

35.        J. Mondal, P. Samui, Amar Nath Chatterjee. "Optimal control strategies of non-pharmaceutical and pharmaceutical interventions for COVID-19 control." Journal of Interdisciplinary Mathematics (2020): 1-29.

36.        Amar Nath Chatterjee, F. A.  Basir, F., (2020)  “A model for sars-cov-2 infection with treatment.” Computational and Mathematical Methods in Medicine, 2020.

37.        Amar Nath Chatterjee, P. K. Roy  “SMOKING HABIT: A BIO MATHEMATICAL STUDY,” Vol. (2020), Commun. Math. Biol. Neurosci.

38.     Amar Nath Chatterjee, B. Kumar, “Cytotoxic T-lymphocyte Vaccination for Hepatitis C:  A Mathematical Approach,” Studies in Indian Place Names (UGC Care Journal),Vol-40(56),pp.769-779.

2019

39.        Amar Nath Chatterjee, M. K. Singh, B. Kumar, “The Effect of Immune Responses in HCV Disease Progression’’, Eng. Math. Lett. , Vol 2019(2019)..

2018

40.        Amar Nath Chatterjee, “The Effect of Pulse Vaccination on the Transmission Dynamics of Rotavirus Diarrhea. Journal of Chemical, Environmental and Biological Engineering.Vol.2,No.1,2018,pp.26-31.”

2016

41.         P. K. Roy, Amar Nath Chatterjee, X.-Z. Li, “The effect of vaccination to dendritic cell and immune cell interaction in HIV disease progression”, International Journal of Biomathematics, 9(1) (2016).

2015

42.        Amar Nath Chatterjee, S. Saha, P. K. Roy, “Human immunodeficiency virus/acquired immune deficiency syndrome: Using drug from mathematical perceptive”, World J Virol, 2015; 4(4): 356-364.

2014

43.        N. Sil, P. K. Roy, S. Nandi, Amar Nath Chatterjee, S. Mukhopadhyay, S. Bhattacharya, IL Hyo Jung, “Optimal Control Therapeutic Approach to Recovery of Infected Cells in HIV Model with Expected Time to Extinction of the Disease”, BER, 2014, V3(2), pp. 47-63.

44.        D. Biswas,  D. Kesh, A. Datta, Amar Nath Chatterjee, Priti Kumar Roy, “A Mathematical Approach to Control Cutaneous Leishmaniasis Through Insecticide Spraying”,  SOP Transactions on Applied Mathematics, 2014,  V1 (2), pp. 44-54.

2013

45.        Amar Nath Chatterjee, P. K. Roy (2013), “NEGATIVE FEEDBACK EFFECT IN HIV PROGRESSION: AN OPTIMAL CONTROL THEORETIC APPROACH’’, Journal of Algorithms and Optimization, V1 (1)(2013), pp. 1-12.

46.        Amar Nath Chatterjee, P. K. Roy, S. Biswas Majee (2013), “Immune cell response to negative feedback effect in HIV’’, BER, V 2(1), March 2013,  pp 37-47.

47.        P. K. Roy, S. Chowdhury, Amar Nath Chatterjee,  J. Chattopadhyay, R. Norman (2013), “A Mathematical Model on CTL Mediated Control of HIV Infection in a Long Term Drug Therapy’’, Journal of Biological System, Vol. 21, No. 3 (2013) 1350019 (25 pages)

48.        P. K. Roy, Amar Nath Chatterjee, D. Greenhalgh, Q. J.A. Khan (2013), “Long Term Dynamics in a Mathematical Model of HIV-1 infection with delay in Different Variants of the basic drug  the basic drug therapy”, Nonlinear Analysis: RealWorldApplications14(2013),pp.1621 -1633

49.        Amar Nath Chatterjee, P. K. Roy, J. Mandal (2013): “Mathematical Model for Suppression of Sand Flies through IRS with DDT in Visceral Leishmaniasis”, American Journal of Mathematics and Sciences, Accepted, V2(1), Jan 2013 , pp. 105-112.

50.        P. K. Roy, R. Bhattacharya, Amar Nath Chatterjee, M. K. Ghosh, S. Nandi (2013): “Optimisation of enzymatic product by mathematical control approach”, American Journal of Mathematics and Sciences, V 2(1), Jan 2013, pp. 141-149.

2012

51.     P. K. Roy, Amar Nath Chatterjee (2012) “Recovery of infected Jatropha Curcas plant cells: A control based theoretical approach”, International Journal on Mathematical Sciences and Applications, Volume 2, No. 1, pp. 145- 153.

52.        P. K. Roy, Amar Nath Chatterjee, S. Biswas Majee (2012): “Effect of Chemokine Analog through Perfect Adherence in HIV Treatment: A Model Based Study”, International Journal of Applied Mathematics and Applications, 4(2), December 2012, pp. 121-145.

53.        Amar Nath Chatterjee, P. K. Roy,(2012) :“Anti-viral drug treatment along with immune activator IL-2: A control based mathematical approach for HIV infection.’’, InternationalJournal of Control , V85(2), pp.220-237.

2011

54.        P. K. Roy, A. Datta, Amar Nath Chatterjee (2011), “Saturation Effects on  Immunopathogenic Mechanism of Psoriasis: A Theoretical Approach’’,   ACTA ANALYSIS FUNCTIONALIS APPLICATA, Vol.13, No.3, pp. 310- 318.

55.        S. Nandi, S. Khajanchi, Amar Nath Chatterjee, P. K. Roy (2011), “Insight of Viral Infection of Jatropha Curcas Plant (Future fuel)-A Control based Mathematical Study’’,   ACTA ANALYSIS FUNCTIONALIS APPLICATA, V13,  No. 4, pp. 366- 374.

2010

56.        P. K. Roy, Amar Nath Chatterjee (2010):  Delay effect in a Mathematical model of HIV infected T-cell against killing by CTL. “BULLETIN of the CALCUTTA MATHEMATICAL SOCIETY”, V 102(6), pp. 513-524.

57.        P. K. Roy, Amar Nath Chatterjee, B. Chattopadhyay (2010): HIV infection in T-lymphocytes and Drug Induced CTL Response of a Time Delayed Model. .Lecture Notes in Engineering and Computer Science. WCE, London, UK. 1, 533-538.

58.        P. K. Roy, Amar Nath Chatterjee (2010): T-cell proliferation in a Mathematical Model of CTL Activity Through HIV-1 Infection. Lecture Notes in Engineering and Computer Science. WCE, London, UK. 1, 615-620.

BOOK CHAPTER/ ARTICLE

59.    Amar Nath Chatterjee, F. A.  Basir, Role of Immune effector responses during HCV infection, Mathematical Analysis of Infectious Diseases (Edited by Praveen Agarwal, Juan J. Nieto, Delfim F. M. Torres), Elsevier Pub.

60.    Amar Nath Chatterjee, F. A.  Basir, Modelling of the effects of media in the course of vaccination of rota virus, "Recent studies in mathematical modeling and control of the dynamics of human viruses”, Elsevier Pub.

61.    S. Mehta, Amar Nath Chatterjee, AN INSIGHT LOOKS AT THE OPPORTUNITIES OF AI IN THE HEALTHCARE SYSTEM, IIP.

62. .   S. M. Firdaus Zaki Rizvi, Amar Nath Chatterjee, COMPUTING SECURITY IN E-COMMERCE FROM ZOMBIE ATTACK, IIP

63.    P. K. Roy, S. Chowdhury, Amar Nath Chatterjee, S. B. Majee (2012): “Mathematical Modelling of IL-2 based Immune Therapy of T cell Homiostasis in HIV’’, Book Chapter in Insight In Control of Infectious Disease in Global Scenario, Chapter 5, pp 79-96.

64.    P. K. Roy, Amar Nath Chatterjee (2011), “REDUCTION OF HIV INFECTION THAT INCLUDES A   DELAY WITH CURE RATE DURING LONG TERM TREATMENT: A MATHEMATICAL STUDY”,  Book Chapter in “Electrical Engineering and Applied Computing”,  Springer, 2011, V 90., pp. 699-673.

65.    P. K. Roy, Amar Nath Chatterjee (2011), “Effect of HAART on CTL Mediated Immune Cells: An Optimal Control Theoretic Approach”, Book Chapter in “Electrical Engineering and Applied Computing”,   Springer, V 90, pp. 595-607.

66.   Amar Nath Chatterjee Fahad Al Basir “A mathematical model for the dynamics of visceral leishmaniasis disease with time delay”, Mathematical Modeling in Bioscience Theory and Applications, (2025)

67.    Amar Nath Chatterjee., Amit Kumar Bag. "The Role of Screening Programmes in Cervical Cancer Prevention: A Mathematical Study" Mathematical Analysis and Applications in Biological Phenomena through Modelling 478, no. 1 (2025): 211-226.

BOOK PUBLISHED

1.    Mathematical Modelling on the Dynamics og HIV/AIDS (2021),  Lap Lamberd Academic Publication,  Republic of Moldova Europe, ISBN : 978-620-4-19114-0.

2.    Role of Vedic Mathematics in Indian Knowledge System (2025), Yellowish Publication, Ghaziabad India,  ISBN: 978-81-993042-2-2.

3.    Easy way to learn SageMath toStudy Mathematical Models (2025), Amazon KDP, ISBN-13-979-8268056211.