Dr Prashant K Srivastava
(Mathematical Modeling Lab, IIT Patna)

 

About me                                          Publications                             Lab members                                                Contact us                                Awards                           Administration

 

About Me


 

Hello and welcome to my webpage!

 

I am currently working as an Associate Professor in the Department of Mathematics, Indian Institute of Technology Patna.

 

My main area of interest include Mathematical Modeling in Biological systems and Nonlinear Dynamics.

 

I work on Mathematical Modeling of Epidemiology and Ecology using mainly differential equations (ordinary, delay and stochastic) and focus on Nonlinear dynamical behavior of the obtained model system. Some of our works also includes data analysis in form of parameter estimation.

 

John

 

 

 

Publication

Journal Publications: (Impact factors not updated)

1.     S Das, PK Srivastava, P Biswas, The Role of Social Media in a Tuberculosis Compartmental Model: Exploring Hopf-Bifurcation and Nonlinear Oscillations, Mathematics and Computers in Simulation

2.     Aditya Prakash et al., Constructions of Two-Dimensional Golay-ZCZ Array Sets Based on Generalized Boolean Functions, IEEE Signal Processing Letters,  

3.     AK Umrao, S Lamba, PK Srivastava, Nonlinear Dynamics in a Fear-Driven Predator-Prey System: Bistability, Bifurcations, Hydra Effect, and Optimal Harvesting, Mathematical Methods in the Applied Sciences, (Free Download)

4.     AK Umrao, PK Srivastava, Impact of Hunting Cooperation and Fear Effect in a Generalist Predator–Prey Model, Journal of Biological Systems, (Free Download)

5.     T Sarkar, PK Srivastava, P Biswas, Application of the NSFD method in a Malaria model with nonlinear incidence and recovery rates, The European Physical Journal Plus, 139, 257 (2024) (Impact Factor: 2.8, h5 Index: 70, MCQ: NA)

6.     S Das, PK Srivastava, P Biswas, Exploring Hopf-bifurcations and endemic bubbles in a tuberculosis model with behavioral changes and treatment saturation, Chaos: An Interdisciplinary Journal of Nonlinear Science, 34, 013126 (2024) (Impact Factor: 2.7, h5 Index: 59, MCQ: 0.30)

7.     T Das, PK Srivastava, Stability and codimension 2 bifurcations in an SIR model with incubation delay, Nonlinear Analysis: Real World Applications 79, 104127 (Impact Factor: 2.765, h5 Index: 34, MCQ: 1.50)

8.     AK Umrao, S Roy, PK Tiwari, PK Srivastava, Dynamical behaviors of autonomous and nonautonomous models of generalist predator–prey system with fear, mutual interference and nonlinear harvesting, Chaos, Solitons & Fractals 183, 114891 (2024) (Impact Factor: 7.8, h5 Index: 110, MCQ: 0.52)

9.     S Lamba, T Das, PK Srivastava, Impact of infectious density-induced additional screening and treatment saturation on COVID-19: Modeling and cost-effective optimal control, Infectious Disease Modelling, 9 (2), 569-600 (2024) (Impact Factor:8.8, h5 Index: 35, MCQ: NA) (Free Download)

10.R Kumar, SK Jha, PK Srivastava, S Majhi, Construction of Type-II ZCCS for the MC-CDMA System with Low PMEPR, Digital Signal Processing, 104570 (2024) (Impact Factor: 2.9, h5 Index: 44, MCQ: 0.07)

11.S Prakash, AK Umrao, PK Srivastava, Dynamical Model of HIV Infection with Homeostatic Growth of CD4+ T Cells and Immune Response, International Journal of Biomathematics (2024) (Impact Factor: 2.2, h5 Index: 25, MCQ: 0.28)

12.A Srivastava, PK Srivastava, A tuberculosis model with the impact of sputum smear microscopy, Journal of Applied Mathematics and Computing, 1-30 (2024) (Impact Factor: 2.2, h5 Index: , MCQ: )

13.T Sarkar, P Biswas, PK Srivastava, Modelling the effects of media information and saturated treatment on malaria disease with NSFD method, International Journal of Biomathematics (2024) (Impact Factor: 2.2, h5 Index: 25, MCQ: 0.28)

14.S Das, PK Srivastava, P Biswas, Tuberculosis transmission with multiple saturated exogenous reinfections, International Journal of Biomathematics, 2350064 (2023). (Impact Factor: 2.2, h5 Index: 25, MCQ: 0.28)

15.AK Umrao, PK Srivastava, Bifurcation Analysis of a Predator–Prey Model with Allee Effect and Fear Effect in Prey and Hunting Cooperation in Predator, Differential Equations and Dynamical Systems, 1-27 (2023). (Impact Factor: 1, h5 Index: , MCQ: 0.21)

16.S Lamba, PK Srivastava, Cost-effective optimal control analysis of a COVID-19 transmission model incorporating community awareness and waning immunity, Computational and Mathematical Biophysics, 11 (1), 20230154 (2023). (Impact Factor: , h5 Index: , MCQ: 0.48)

17.T Das, SR Bandekar, AK Srivastav, PK Srivastava, M Ghosh, Role of immigration and emigration on the spread of COVID-19 in a multipatch environment: a case study of India, Scientific Reports 13 (1), 10546 (2023). (Impact Factor: 4.6, h5 Index: 210, MCQ: ) (Free Download)

18.Anuj Kumar, Yasuhiro Takeuchi, PK Srivastava, Stability switches, periodic oscillations and global stability in an infectious disease model with multiple time delays, Mathematical Biosciences and Engineering, 20, 11000-11032 (2023).  (Impact Factor: 2.194, h5 Index: 20, MCQ: 0.44)

19.T Das, PK Srivastava, Effect of a novel generalized incidence rate function in SIR model: Stability switches and bifurcations, Chaos, Solitons & Fractals 166, 112967 (2023).    (Impact Factor: 7.8, h5 Index: 110, MCQ: 0.52)

20.S Prakash, PK Srivastava, AK Umrao, Bifurcation analysis of HIV infection model with cell-to-cell transmission and non-cytolytic cure, Computational and Mathematical Biophysics 11 (1), 20230111 (2023) (Impact Factor: , h5 Index: , MCQ: 0.48)

21.A Srivastava, Sonu, PK Srivastava, Nonlinear dynamics of a SIRI model incorporating the impact of information and saturated treatment with optimal control, The European Physical Journal Plus 137, 1-25 (2022).    (Impact Factor: 2.8, h5 Index: 70, MCQ: NA)

22.SR Bandekar, T Das, AK Srivastav, A Yadav, A Kumar, PK Srivastava, Mini Ghosh, Modeling and prediction of the third wave of COVID-19 spread in India, Computational and Mathematical Biophysics 10, 231-248 (2022). (Impact Factor: , h5 Index: , MCQ: 0.48)

23.AK Srivastav, A Kumar, PK Srivastava, M Ghosh, Modeling and optimal control of dengue disease with screening and information, The European Physical Journal Plus 136, 1187 (2022).    (Impact Factor: 2.8, h5 Index: 70, MCQ: NA)

24.Tanuja Das and Prashant K Srivastava, Hopf bifurcation and stability switches in an infectious disease model with incubation delay, information, and saturated treatment, Journal of Applied Mathematics and Computing, 1-25 (2022).   (Impact Factor: 2.196, h5 Index: 23, MCQ: 0.45)

25.Rajen Kumar, Palash Sarkar, PK Srivastava and Sudhan Majhi, A Direct Construction of Asymptotically Optimal Type-II ZCP for Every Possible Even Length, IEEE Signal Processing Letters, 28, (2021), 1799-1802.  (Impact Factor: 3.201, h5 Index: 65, MCQ: NA)

26.Tanuja Das, PK Srivastava, Anuj Kumar, Nonlinear Dynamical Behaviour of an SEIR Mathematical Model: Effect of Information and Saturated Treatment, Chaos: An Interdisciplinary Journal of Nonlinear Science, 31 (2021), 043104.  (Impact Factor: 3.741, h5 Index: 52, MCQ: 0.28)

27.A Yadav, PK Srivastava, The impact of information and saturated treatment with time delay in an infectious disease model, Journal of Applied Mathematics and Computing, 66 (2021), 277-305.   (Impact Factor: 2.196, h5 Index: 23, MCQ: 0.45)

28.Roshan Mandale, Anuj Kumar, D. K. K. Vamsi, Prashant K Srivastava, Dynamics of an Infectious Disease in the Presence of Saturated Medical Treatment of Holling Type III and Self-protection, Journal of Biological Systems, 29 (2021), 245-289.  (Impact Factor: 1.909, h5 Index: 10, MCQ: 0.27)

29.AK Srivastav, PK Tiwari, PK Srivastava, M Ghosh, Y Kang, A mathematical model for the impacts of face mask, hospitalization and quarantine on the dynamics of COVID-19 in India: deterministic vs. stochastic, Mathematical Biosciences and Engineering,  8 (2021), 182-213.  (Impact Factor: 2.194, h5 Index: 20, MCQ: 0.44)

30.Kumar, P.K. Srivastava, Y.Dong, Y. Takeuchi, Optimal control of infectious disease: Information-induced vaccination and limited treatment, Physica A: Statistical Mechanics and its Applications,  542 (2020) 123196.  (Impact Factor: 3.778, h5 Index: 60, MCQ: 0.19)

31.Kumar, P.K. Srivastava, Role of Optimal Screening and Treatment on Infectious Diseases Dynamics in Presence of Self-Protection of Susceptible, Differential Equations and Dynamical Systems, (2020) page 1-29.  (Impact Factor: NA, h5 Index: 13, MCQ: 0.20)

32.Kumar, P.K. Srivastava, and A. Yadav, Delayed Information Induces Oscillations in a Dynamical Model for Infectious Disease, International Journal of Biomathematics, 12 (2019), 1950020 (34 pages).  (Impact Factor: 2.129, h5 Index: 17, MCQ: 0.22)

33.Kumar, Prashant K Srivastava, and R.P. Gupta, Nonlinear dynamics of infectious diseases via information-induced vaccination and saturated treatment, Mathematics and Computers in Simulation, 157 (2019), 77-99.  (Impact Factor: 3.601, h5 Index: 27, MCQ: 32)

34.Anuj Kumar and   Prashant K. Srivastava, Vaccination and Treatment as Control Interventions in an Infectious Disease Model with Their Cost Optimization, Communications in Nonlinear Science and Numerical Simulation, 44(2017), 334-343.  (Impact Factor: 4.186, h5 Index: 59, MCQ: 0.51)

35.Anuj Kumar, Prashant K. Srivastava and Yasuhiro Takeuchi, Modeling the role of information and limited optimal treatment on disease prevalence, Journal of Theoretical Biology, 414 (2017), 103-119.  (Impact Factor: 2.405, h5 Index: 45, MCQ: 0.30)

36.Anuj Kumar, Anuradha Yadav and   Prashant K. Srivastava, Control of Infectious Diseases through Vaccination and Treatment, International Journal of Biomathematics and Systems Biology, 2, Issue 2 (2016).

37.Anuradha Yadav, Prashant K. Srivastava and Anuj Kumar, Mathematical model for smoking: Effect of determination and education, International Journal of Biomathematics, 8 (2015) 1550001 (14 pages).  (Impact Factor: 2.129, h5 Index: 17, MCQ: 22)

38.Dubey, Atasi Patra, P. K. Srivastava and Uma S Dubey, Modeling and analysis of a SEIR model with two different types of nonlinear treatment rates, Journal of Biological Systems, 21 (2013) 1350023 (1-25).  (Impact Factor: 1.909, h5 Index: 10, MCQ: 0.27)

39.A K Misra, SN Mishra, AL Pathak, P K Srivastava, Peeyush Chandra, A mathematical model for the control of carrier-dependent infectious diseases with direct transmission and time delay, Chaos, Solitons & Fractals   57 (2013) 41-53.  (Impact Factor: 9.922, h5 Index: 53, MCQ: 0.41)

40.P. K. Srivastava, Malay Banerjee and Peeyush Chandra, Dynamical Model of In-Host HIV Infection: With Drug Therapy and Multi-Viral Strains   Journal of Biological Systems,  20 (2012) 303 - 325.  (Impact Factor: 1.909, h5 Index: 10, MCQ: 0.27)

41.P. K. Srivastava, Malay Banerjee and Peeyush Chandra, A primary infection model for HIV and immune response with two discrete time delays, Differential Equation and Dynamical Systems  18 (2010) 385-399.  (Impact Factor: NA, h5 Index: 13, MCQ: 0.20)

42.P. K. Srivastava and Peeyush Chandra, Modeling the dynamics of HIV and CD$4^+$ T cells during primary infection, Nonlinear Analysis: Real World Applications, 11, (2010) 612-618.  (Impact Factor: 2.765, h5 Index: 34, MCQ: 1.50)

43.P. K. Srivastava, Malay Banerjee and Peeyush Chandra, Modeling the drug therapy for HIV infection, Journal of Biological Systems, 17 (2009) 213 - 223.  (Impact Factor: 1.909, h5 Index: 10, MCQ: 0.27)

44.P. K. Srivastava and Peeyush Chandra, Hopf bifurcation and periodic solutions in a dynamical model for HIV and immune response, Differential Equation and Dynamical Systems, 16 (2008) 77-100.  (Impact Factor: NA, h5 Index: 13, MCQ: 0.20)

 

Conference Proceedings/ Book Chapters: 

45. Radhika MV, Peeyush Chandra and   P. K. Srivastava, Mathematical Modeling of opiate drug users, in Mathematical Modelling and Applications to Industrial Problems (MMIP2011), Proceeding of International Conference held at NIT Calicut, INDIA, Page: 467-473 (ISBN-9789350590249), 2011.

46. A Kumar and P.K. Srivastava, Global Stability and Impact of Information on Infectious Disease Model with Optimal Treatment, Proceeding of International Conference on Mathematical Sciences-2014 (ICMS2014), 735-738, (ISBN-9789351072614)

47. P. K. Srivastava, Deterministic and Stochastic Model for HTLV-I Infection of CD4+ T Cells, Mathematical Biology and Biological Physics, page 253-268, World Scientific (2017).

48. Anuj Kumar, Anuradha Yadav and Prashant K. Srivastava, Study of Global Stability and Optimal Treatment for an Infectious Disease Model, Mathematical Biology and Biological Physics, page 269-287, World Scientific (2017).

49. Anuj Kumar and Prashant K. Srivastava, Delay Induced Oscillations in a Dynamical Model for Infectious Disease, Trends in Biomathematics: Modeling, Optimization and Computational Problems, pp. 313-324, Springer (2018).

50. A Kumar and P.K. Srivastava, Delayed Information Induced Self-protection Leads to Oscillations in an Epidemic Model, Emerging Trends in Mathematical Sciences and its Applications, AIP Conf. Proc. 2061, pages 20035-1–20035-8 (2019).

51. Rajan Singh and Prashant K. Srivastava, Exploring Biomarker Identification and Mortality Prediction of COVID-19 Patients using ML Algorithms, Lecture Notes in Electrical Engineering, Volume 940 (2022).

52. Tanuja Das and Prashant K Srivastava, Effect of Incubation Delay in an SIRS Model: Hopf Bifurcation and Stability Switch, Trends in Biomathematics: Stability and Oscillations in Environmental, Social, and Biological Models: Selected Works from the BIOMAT Consortium Lectures, Rio de Janeiro, Brazil, 2021, Pages 367-382(2022)

53. Anuj Kumar Umrao and Prashant K. Srivastava, Dynamical Study of a Predator-Prey Interaction Incorporating Fear Effect with Saturated Fear Cost and Prey Refuge, In: Mondaini, R.P. (eds) Trends in Biomathematics: Exploring Epidemics, Eco-Epidemiological Systems, and Optimal Control Strategies, Springer, Pages 67-88, 2024. [https://doi.org/10.1007/978-3-031-59072-6_3]

54. Rajen Kumar, Prashant K Srivastava and Sudhan Majhi, A New Construction of Optimal Symmetrical ZCCS, in IEEE International Symposium on Information Theory 2024.

 

Administration

1.     Member, Institute Academic Disciplinary Committee (11.06.2024- till date) [Ref no. IITP/R/OO/2024/862]

2.     Head, Department of Mathematics (15.03.2023-04.06.2024) [

3.     Chairman, JEE (Advanced) (15.09.2020-November 2021) [Ref no. R/IITP/OO/2020/1399]

4.     Vice-chairman, JEE (Advanced) (29.08.2018-15.09.2020) [Ref no. IITP/OO/R/2018/996]

 

Lab Members

Dr. Prashant Kumar Srivastava, Associate Professor

 

PhD Students:

1.     Mr Surya Prakash

2.     Mr Rajen Kumar

3.     Mr Sonu

4.     Mr Anuj Kumar Umrao

5.     Mr Aditya Prakash

6.     Mr Husna Moab

7.     Mr Rahaman Ali

8.     Ms Aarohi Kumari

9.     Ms Rakhi Yadav

 

MSc Students:

10.Ms Neha Mehra

 

MTech Students:

11.Mr Ashutosh Kumar (with Prof Jimson Mathew, Dept of CSE)

12.Mr Dhruv Kanti  (with Prof Jimson Mathew, Dept of CSE)

 

Past Members:

PhD

1.     Dr Anuj Kumar, Assistant Professor, Thapar Institute of Engineering and Technology Patiala Weblink

2.     Dr Anuradha Yadav,   Weblink

3.     Dr Tanuja Das, Post-Doctoral Fellow, Université de Montréal, Montréal, Canada Weblink

4.     Dr Akriti Srivastava, Assistant Professor, Presidency University Bangalore, Weblink

MTech

5.     Uday Kumar, Assistant Professor-VIT University Bhopal Weblink

6.     Rajan Singh,

MSc

Contact Us

Mathematical Modeling Lab

Dr. Prashant Kumar Srivastava

Associate Professor

Room 516/ Block-I, Department of Mathematics

Indian Institute of Technology Patna

Bihta, Patna-801106, Bihar

Phone: +91-6115-233033