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Hello and welcome! I am currently working as an
Associate Professor & Head in the Department of Mathematics, Indian
Institute of Technology Patna. At present, I am serving as Chair, MEPI Subgroup of SMB and Joint Secretary of ISMMACS. 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 both computational & mathematical analysis
of nonlinear dynamical behavior of the obtained model system. Our works also
include data analysis in form of parameter estimation and prediction of
disease outcome. |
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Opportunity
for PhD Candidates: I am looking for
good PhD students. If you are interested in the work done in my research group,
you may write to me at pksri@iitp.ac.in (To be considered
as a PhD candidate you must have qualified GATE or have external funding such
as UGC/CSIR etc.)
Publication
Journal Publications: (Impact factors not updated)
1.
S Das, PK
Srivastava, P Biswas, Nonlinear Dynamics and Hopf-bifurcation
in a Tuberculosis Model with Saturated Incidence and Limited Treatment for
High-Risk Latent Cases, International
Journal of Bifurcation and Chaos (Accepted)
2.
A Srivastava,
PK Srivastava, S Pandey, Stability and bifurcation analysis of a SIRI model
with Crowley–Martin-type incidence rate and Holling-type
II treatment rate, International Journal
of Biomathematics, 2550133 (2025)
3.
HP Singh, Rashi, S Singh, AK Umrao, PK
Srivastava, Selective Harvesting and Gestation Delay in Generalist
Predator-Prey Model with Fear and its Carry-Over Effects: A Crossing Curves
Approach, Nonlinear Dynamics
(Accepted)
4.
Rajen Kumar, et
al., Multiple Spectrally Null Constrained Complete Complementary Codes of
Various Lengths Over Small Alphabet, Cryptography
and Communications (Accepted)
5.
A Prakash, et
al., New Constructions of Binary Two-Dimensional CCC of Length Non-Power of
Two, IEEE Signal Processing Letters
(Accepted)
6.
S Das, PK
Srivastava, P Biswas, Impact of delayed diagnosis and treatment on uninformed
actively infected populations in tuberculosis: Stability and Hopf-bifurcation, Physica Scripta (Accepted)
7.
T Sarkar, PK Srivastava,
P Biswas, Modeling Dengue with Saturated Incidence, Vaccination, and Treatment
Rates: Numerical Insights and Nonlinear Behavior, Nonlinear Dynamics, 113 (20), 28511-28553 (2025)
8.
Aditya
Prakash, Tzu-Chieh Kao, Prashant Kumar Srivastava, Sudhan Majhi, and Chao-Yu Chen, A
construction of a two-dimensional zero correlation zone array set based on
generalized Boolean functions, Advances
in Mathematics of Communications (Accepted)
9.
AK Umrao, PK Srivastava, Food Chain Model: Cooperative
Behavior in Top Predator and its Impact on Prey and Middle Predator Demography
with Fear Effect, International Journal
of Numerical Methods for Heat and Fluid Flow, 35, 3795-3828 (2025)
10.
S Lamba, A Srivastava, PK Srivastava, Modeling Direct and
Indirect Transmission of Conjunctivitis with Non-monotonic and Saturated
Incidence: Stability and Control Analysis, Journal
of Biological Systems (Accepted)
11.
AK Umrao, PK Srivastava, Exploring predator–prey
dynamics: Integrating competitor predators, harvesting delay and fear effect on
prey with a modified Beddington–DeAngelis functional response, Nonlinear Analysis: Real World Applications, 86 (2025), 104391
12.
Rashi, S Singh, AK
Umrao, HP Singh, PK Srivastava, Cooperation and
harvesting-induced delays in a predator–prey model with prey fear
response: A crossing curves approach, Chaos,
Solitons & Fractals 194 (2025), 116132
13.
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)
14.
S Prakash, AK
Umrao, PK Srivastava, Bifurcation and stability
analysis of within host HIV dynamics with multiple infections and intracellular
delay, Chaos: An Interdisciplinary
Journal of Nonlinear Science 35 (2025)
15.
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
16.
Aditya
Prakash et al., Constructions of Two-Dimensional Golay-ZCZ
Array Sets Based on Generalized Boolean Functions, IEEE Signal Processing Letters,
17.
AK Umrao, PK Srivastava, Impact of Hunting Cooperation and
Fear Effect in a Generalist Predator–Prey Model, Journal of Biological Systems, (Free Download)
18.
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)
19.
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)
20.
T Das, PK
Srivastava, Stability and codimension 2 bifurcations
in an SIR model with incubation delay,
Nonlinear Analysis: Real World Applications 79, 104127
21.
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)
22.
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) (Free Download)
23.
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)
24.
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)
25.
A Srivastava,
PK Srivastava, A tuberculosis model with the impact of sputum smear microscopy,
Journal of Applied Mathematics and Computing, 1-30 (2024)
26.
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)
27.
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)
28.
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).
29.
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).
30.
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). (Free Download)
31.
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).
32.
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).
33.
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)
34.
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).
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).
35.
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).
36.
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).
37.
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.
38.
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.
39.
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.
40.
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.
41.
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.
42.
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.
43.
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. 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).
44.
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.
45.
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.
46.
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.
47.
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).
48.
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).
49.
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).
50.
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.
51.
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.
52.
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.
53.
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.
54.
P. K.
Srivastava, Malay Banerjee and Peeyush Chandra,
Modeling the drug therapy for HIV infection, Journal of Biological Systems, 17 (2009) 213 - 223.
55.
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.
Conference Proceedings/ Book Chapters:
56.
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.
57.
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)
58.
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).
59.
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).
60.
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).
61.
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).
62.
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).
63.
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)
64.
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]
65.
Rajen Kumar,
Prashant K Srivastava and Sudhan Majhi,
A New Construction of Optimal Symmetrical ZCCS, in
IEEE International Symposium on Information Theory 2024.
Awards and Honors
1.
Chair
(2025-till date), Math-Epi subgroup, Society for Mathematical Biology, http://www.smb.org.
2.
Co-Chair
(2024-2025), Math-Epi subgroup, Society for Mathematical Biology, http://www.smb.org.
3.
Member, Board
of Directors (2022-till date), BIOMAT Consortium, http://biomat.org.
4.
JB Shukla
Award (2023), Received jointly with Dr Tanuja Das,
awarded by Indian Mathematical Society.
5.
Joint
Secretary (2022-2025), Indian Society for Mathematical Modeling and Computer
Simulation (ISMMACS) https://ismmacs.org.in/.
6.
Executive
Council member (2021-2023), Indian Society for Mathematical Modeling and
Computer Simulation (ISMMACS) https://ismmacs.org.in/.
7.
Elected
member, The National Academy of Sciences, India (NASI), 2017-till date.
8.
Award for
Best Teacher of IIT Patna for 2013 (sponsored by State Bank of India).
9.
Travel grant
to attend CIMPA UNESCO MICINN SOUTH AFRICA Research
School at AIMS, Cape Town, South Africa, Jun 2011.
10.
UGC DS
Kothari Post Doctoral Fellowship, Awarded in 2011
(Did not avail).
11.
NBHM Post Doctoral Fellowship, DAE, Govt
of India, August 2010-Jan 2011.
12.
Travel grant
to attend ICM-2010, held at Hyderabad India, August 2010.
13.
IMS Prize for
Best Paper in Biomathematics by Indian Mathematical Society, awarded in its
74th annual conference, Allahabad, 2008.
14.
Best Tutor
(Teacher) award from Director IIT Kanpur for outstanding teaching (for MTH 203
Semester-I), 2007.
15.
JRF
(2004-2006) & SRF (2006-2009), Council of Scientific and Industrial
Research, India.
Administration
1.
Head, Department of Mathematics (14.01.206-till date) [Ref no IITP/RO/OO/2026/147]
2.
Member, Institute
Academic Disciplinary Committee (11.06.2024- 01.05.2025) [Ref no.
IITP/R/OO/2024/862]
3.
Head,
Department of Mathematics (15.03.2023-04.06.2024) [
4.
Chairman, JEE
(Advanced) (15.09.2020-November 2021) [Ref no. R/IITP/OO/2020/1399]
5.
Vice-chairman,
JEE (Advanced) (29.08.2018-15.09.2020) [Ref no. IITP/OO/R/2018/996]
6.
Member
Academic Senate, IIT Patna (November 2017-March 2022, March 2023-June 2024)
7.
Professor-in-Charge
PG Programs (April 2017-May 2019)
8.
Member IAPC
(Institute academic program committee)
(2013 - May 2019)
9.
Academic
registration (2013-2016)
10.
Associate
faculty in charge- Academic registration (2012-13)
11.
Department BTech Coordinator (2019-2023)
12.
Secretary
DAPC -Dept. academic program committee
(Feb 2016-April 2018)
13.
Department
PhD Coordinator (Jan 2012-Dec 2015)
Lab Members
Dr. Prashant Kumar
Srivastava, Associate Professor
PhD Students:
1.
Mr
Aditya Prakash (joined in July 2021)- Thesis
submitted.
2.
Mr
Husna Moab (joined in July 2023)
3.
Mr
Rahaman Ali (joined in July 2023)
4.
Ms
Aarohi Kumari (joined in July 2024)
5.
Ms
Rakhi Yadav (joined in July 2024)
MSc Students:
6.
Guriya
Sharma (2025-2026)
7.
Ismita
Singh (2025-2026)
MTech Students:
8.
Meenu
Devi (jointly with Prof
Jimson Mathew, Dept of CSE) (2025-2026)
9.
Ravi Choudhary
(jointly with Prof Jimson
Mathew, Dept of CSE) (2025-2026)
Past Members:
PhD
Alumni:
1.
Dr Anuj Kumar (2017), Assistant
Professor, Thapar Institute of Engineering and
Technology Patiala Weblink
2.
Dr Anuradha
Yadav (2018), Weblink
3.
Dr Tanuja Das
(2022), Post-Doctoral Fellow, Université de
Montréal, Montréal, Canada Weblink
4.
Dr Akriti
Srivastava (2023), Assistant Professor, Galgotias
University, Weblink
5.
Dr Rajen
Kumar (2024), Post-Doctoral Fellow, Department of Electrical
Engineering, IIT Kanpur, India
6.
Dr Anuj Kumar Umrao
(2025), Weblink, Post-Doctoral Fellow, The Hebrew University
of Jerusalem, Rehovot, Israel
7.
Dr Surya Prakash (2025),
8.
Dr Sonu (2025)
MTech
Alumni:
9.
Mr
Uday Kumar (2014-2015), Assistant Professor-VIT
University Bhopal Weblink
10.
Mr
Rajan Singh (2020-2021), Senior Machine Learning
Engineer, Ceremorphic, Inc.
11. Mr Ashutosh
Kumar (2024-2025) (jointly with Prof Jimson Mathew, Dept of CSE)
12. Mr Dhruv
Kanti (2024-2025) (jointly with Prof Jimson Mathew,
Dept of CSE)
MSc
Alumni:
13.
Ms
Neha Mehra (2024-2025)
14.
Mr Utkarsh Minj (2023-2024)
15.
Ms.
Bithi Maikap (2023-2024)
16.
Ms.
Janvi (2023-2024)
17.
Mr.
Sayan Acharya (2022-2023)
18.
Ms.
Sanchita Mal (2022-2023)
19.
Mr.
Priyanshu Srivastava (2022-2023)
20.
Mr.
Sekh Kiran Ajij (2021-2022)
21.
Mr.
Sajal Debnath (2021-2022)
22.
Ms.
Priya Siddarth (2020-2021)
23.
Mr.
Kunzang Topgyal Bhutia (2020-2021)
24.
Mr.
Bishal Biswas (2020-2021)
25.
Ms.
Sheetal Singh (2019-2020)
26.
Mr Rohit Sharma (2018-2019)
27.
Ms
Mansi (2018-2019)
28.
Ms.
Labani Halder (2018-2019)
29.
Mr.
Akash Garg (2017-2018)
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