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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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Publication
Journal Publications:
1.
S Das, PK
Srivastava, P Biswas, Tuberculosis transmission with multiple saturated
exogenous reinfections, International Journal of Biomathematics, 2350064
(2023). ACCEPTED.
2.
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). ACCEPTED.
3.
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).
4.
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).
5.
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)
6.
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)
7.
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)
8.
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)
9.
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)
10.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)
11.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)
12.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)
13.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)
14.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)
15.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)
16.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)
17.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)
18.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)
19.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)
20.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)
21.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)
22.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).
23.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)
24.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)
25.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)
26.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)
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)
28.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)
29.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)
30.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:
31.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.
32.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)
33.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).
34.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).
35.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).
36.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, pages
20035-1–20035-8 (2019).
37.Rajan Singh, Prashant K. Srivastava, Exploring Biomarker
Identification and Mortality Prediction of COVID-19 Patients using ML
Algorithms, Lecture Notes in Electrical Engineering, Volume 940 (2022).
38.Tanuja Das, 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)
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 Umarao
5. Mr Aditya Prakash
6. Mr Husna
Moab
7. Mr Rahaman
Ali
Contact Us
Mathematical Modeling Lab
Dr. Prashant Kumar Srivastava
Associate Professor
Room 311, Department of Mathematics
Indian Institute of Technology Patna