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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. |
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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.
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]
Dr. Prashant Kumar
Srivastava, Associate Professor
PhD Students:
1.
Mr
Surya Prakash
3.
Mr Sonu
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
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