| Dr. Prashant Kumar Srivastava |
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| Dr. Prashant Kumar Srivastava |
| Associate Professor |
| Ph.D, IIT Kanpur |
| Ph: +91-612-255 2033 |
| Fax: +91-612-227 7383 |
| pksri[*AT]iitp.ac.in |
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| Research Areas |
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Mathematical Modeling in Ecology and Epidemiology, Applications of Differential Equations in Biology, Stability and Bifurcation, Mathematical Modeling of HIV dynamics :in vivo. |
| PhD Students |
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Anuj Kumar |
Anuradha Yadav |
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| Courses taught at IITP |
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- Mathematics - II (MA102)
- Mathematics - III (MA201)
- Differential Equations (MA731)
- Mathematical Modeling (MA512)
- Computational Differential Equations (MA504)
- Preparatory Mathematics (MA002)
- Seminar-I(MC591)
- Advanced Engineering Mathematics(SE503)
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| Professional Experience |
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- Assistant Professor - Dec 2011- till date, IIT Patna
- Assistant Professor - Feb 2011 to Dec 2011 at Birla Institute of Technology and Science Pilani, Rajasthan, INDIA.
- Post Doctoral Fellow - Aug 2010 to Jan 2011 at Indian Institute of Technology Kanpur, INDIA.
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| Awards & Honours |
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- JRF, Council of Scientific and Industrial Research, India, 2004-2006.
- SRF, Council of Scientific and Industrial Research, India, 2006-2009.
- Best Tutor award from Director IIT Kanpur for outstanding teaching (for MTH 203 Semester-I), 2007.
- IMS Prize for Best Paper in Biomathematics by Indian Mathematical Society, awarded in its 74th annual conference, Allahabad, 2008.
- Travel Grant to attend ICM-2010, held at Hyderabad India, August 2010.
- NBHM Post Doctoral Fellowship, Dept of Atomic Energy, Govt of India, 2010.
- UGC DS Kothari Post Doctoral Fellowship, Awarded in 2011 (Did not avail)
- Travel Grant to attend CIMPA School in University of Western Cape, South Africa, June 2011.
- Best Teacher Awards of IIT Patna, 2013
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| Member of Professional bodies |
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- Member (2013) - Society for Mathematical Biology (SMB)
- Life member (2012) - Indian Mathematical Society (IMS).
- Life member (2010) - Indian Academy for Mathematical Modelling and Simulation (IAMMS).
- Student member (2006-2010)- Society for Industrial and Applied Mathematics (SIAM).
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| Publications |
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Journal Publications:
- Anuj Kumar, Yasuhiro Takeuchi, Prashant K 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)
- 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: 9.922, h5 Index: 53, MCQ: 0.41)
- 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: 3.758, h5 Index: 66, MCQ: NA)
- 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). (Scopus)
- 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: 3.758, h5 Index: 66, MCQ: NA)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- A.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)
- A. 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)
- A. 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)
- A. 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)
- 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)
- 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)
- 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).
- 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)
- B. 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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.
- P. K. Srivastava, Malay Banerjee and Peeyush Chandra, Modeling the drug therapy for HIV infection, Journal of Biological Systems, 17 (2009) 213 - 223.
- P. K. Srivastava and Peeyush Chandra, Modeling the dynamics of HIV and CD4+ T cells during primary infection, Nonlinear Analysis: Real World Applications, 11, (2010) 612-618.
- 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.
- 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.
- 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.
- B. 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).
- Anuradha Yadav, P.K. Srivastava, Anuj Kumar, Mathematical Model for Smoking: Effect of Determination and Education, International Journal of Biomathematics Vol. 8, No. 1 (2015) 1550001 (14 pages).
Conference Proceedings:
- Tanuja Das, Prashant K Srivastava, Effect of Incubation Delay in an SIRS Model: Hopf Bifurcation and Stability Switch. In: Mondaini, R.P. (eds) Trends in Biomathematics: Stability and Oscillations in Environmental, Social, and Biological Models. BIOMAT 2021, Pages 367-382(2022)
- Rajan Singh, Prashant K. Srivastava, Exploring Biomarker Identification and Mortality Prediction of COVID-19 Patients Using ML Algorithms. In: Mathew, J., Santhosh Kumar, G., P., D., Jose, J.M. (eds) Responsible Data Science. Lecture Notes in Electrical Engineering, Volume 940 (2022).
- A Kumar, 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, pp 20035-1–20035-8 (2019).
- 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).
- 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, pp. 269-287, World Scientific (2017).
- P. K. Srivastava, Deterministic and Stochastic Model for HTLV-I Infection of CD4+ T Cells, Mathematical Biology and Biological Physics, pp. 253-268, World Scientific (2017).
- 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)
- 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.
- Radhika M.V., P. Chandra, P.K. Srivastava, Mathematical Modeling of opiate drug users (2011), in Mathematical Modelling and Applications to Industrial Problems (MMIP2011), Proceeding of International Conference on held at NIT Calicut, INDIA, Page: 467-473 (ISBN-9789350590249).
- A Kumar, P.K. Srivastava, Global Stability and Impact of Information on Infectious Disease Model with Optimal Treatment, International Conference on Mathematical Sciences-2014 (ICMS2014), 735-738, (ISBN-9789351072614)
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