MSc (Delhi) PhD (Gauhati)
Dynamical System, Mathematics Education
Department of Mathematics
Gauhati University, Guwahati, 781014
Email: hsarmah[at]gauhati[dot]ac[dot]in
Professor
Teaching M.Sc Courses:
1. Dynamical systems
2. Computer Algebra
3. Computer programming
Dynamical systems and fractal geometry, Mathematics Education, Nonlinear Analysis, Epidemiology, Mathematical Biology, Mathematical Modelling.
1. Nabajit Roy (2019 - Present), (CSIR-UGC-NET JRF)
Research area: Dynamical System.
2. Padma Bhusan Borah (2019 - Present), (CSIR-UGC-NET-JRF)
Research area: Dynamical System.
3. Animesh Phukan (2022 - Present), (SLET-NE)
Research area: Financial Dynamical System
4. Lovely Borah (2022-Present)
Research area: Financial Dynamical System
5. Manash Kalita (2022-Present), (CSIR-UGC-NET-JRF)
Research area: Dynamical System
6. Kahuwa Kuwali Barman (2022-Present)
Research area: Financial Dynamical System.
7. Annesha Sarmah (2022-Present)
Research area: Dynamical System
8. Kangkana Barman (2022-Present)
Research area: Dynamical System.
Ph.D. Students (Awarded)
1. Dr. Nilima Dutta, Dept. of Statistics, Pub-Kamrup College, Baihata Chariali
Thesis Title: Bifurcations and chaos in nonlinear populations dynamics and their statistical analysis
2. Dr. Ranu Paul, Dept. of Mathematics, Gauhati University, Guwahati
Thesis Title: Some aspects of dynamical systems in reference to various nonlinear models
3. Dr. Banani Borah Hazarika, Dept. of Maths, Narangi Anchalik Mahavidyalaya, Guwahati
Thesis Title: Factors effecting interest in mathematics among upper primary school students- a
study on the basis of students of Guwahati
4. Dr. Ruma Saha, Dept. of Mathematics, MIT ADT University, Pune
Thesis Title: A study of certain properties and fractal dimensions in so me chaotic models
5. Dr. Tapan Kr. Baishya, Dept. of Mathematics, DR College, Golaghat
Thesis Title: A study of chaos in some nonlinear maps and differential equations
6. Dr. Mridul Das, Ramdia Higher Secondary School, Kamrup
Thesis Title: Study of various bifurcations and their associated properties in nonlinear systems
7. Dr. Bijoy Kamal Bhattacharyya, Dept. of Mathematics, LCB College, Guwahati
Thesis Title: A study on some local and global properties of the chaotic logistic map
8. Dr. Arun Mahanta, Dept. of Mathematics, Kaliabor College, Nagaon
Thesis Title: A study on some fractals and their related dimensions
9. Dr. Akhil Goswami, Royal Global School, Guwahati
Thesis Title: Some aspects of historical development of mathematical probability with applications
10. Dr. Anusmita Das, Dept. of Mathematics, Udalguri College, Udalguri
Thesis Title: A study on dynamical behaviours suggested by different mathematical models
related to tumor growth
11. Dr. Ankur Jyoti Kashyap, Dept. of Mathematics, Girijananda Chowdhury University, Guwahati
Thesis Title: A study on dynamical systems representing eco-epidemiological predator-prey interactions
12. Dr. Kaushik Dehingia, Dept. of Mathematics, Sonari College, Charaideo
Thesis Title: A study on some mathematical models related to cancer with chemotherapy,
immunotherapy and radiotherapy
13. Dr. Bhagya Jyoti Nath, Dept. of Mathematics, Rabindranath Tagore University, Hojai
Thesis Title: A study of some mathematical models related to AIDS
14. Dr. Kabindra Goswami, Dept. of Mathematics, Goalpara College, Goalpara
Thesis Title: Some aspects of dynamical systems in bitopological spaces via mathematical biology
Journal Articles (2024)
AJ Kashyap, HK Sarmah, D Bhattacharjee, An eco-epidemiological model with non-consumptive predation risk and a fatal disease in prey, J. Math. Sci., (SCOPUS), 2024.
AJ Kashyap, HK Sarmah, Complex dynamics in a predator-prey model with fear affected transmission, Differ. Equ. Dyn. Syst., (ESCI, SCOPUS) (IF=0.8), 2024.
D. Bhattacharjee, N. Ray, D. Das, HK Sarmah, A discrete-time dynamical model of prey and stage-structured predator with juvenile hunting incorporating negative effects of prey refuge, Partial Differ. Equ. Appl. Math., (SCOPUS), 10, 2024.
BJ Nath, K Sadri, HK Sarmah, K Hosseini, An optimal combination of antiretroviral treatment and immunotherapy for controlling HIV infection, Math. Comput. Simul., (SCIE (Q1), SCOPUS) (IF=4.4), 217, 2024.
Journal Articles (2023)
A Das, K Dehingia, N Ray, HK Sarmah, Stability analysis of a targeted chemotherapy-cancer model, Math. Model. Control, (ESCI) (IF=1.6), 2023, 3(2), 116-126.
AJ Kashyap, Q Zhu, HK Sarmah, D Bhattacharjee, Dynamical study of a predator-prey system with Michaelis-Menten type predator-harvesting, Int. J. Biomath., (SCIE (Q2), SCOPUS) (IF = 2.4), 2023.
PB Borah, BJ Nath, KC Nath, HK Sarmah, Stability analysis of a nonlinear mathematical model for COVID-19 transmission dynamics, Commun. Math. Biol. Neurosci., (SCOPUS, ESCI) (IF=0.5), 2023.
BJ Nath, HK Sarmah, Stability and Hopf bifurcation analysis of a delayed within-host model for HIV infection with cure rate and fusion effect, J. Appl. Nonlinear Dyn., (ESCI, SCOPUS) (IF=0.6), 2023.
Journal Articles (2022)
A Das, K Dehingia, HK Sarmah, K Hosseini, An optimally controlled chemotherapy treatment for cancer eradication, Int. J. Simul. Model., (ESCI, SCOPUS), 2022.
K Dehingia, HK Sarmah, A Das, K Hosseini, C Park, A study on a gene therapy model for the combined treatment of cancer, Eurasian J. Math. Comput. Appl., (ESCI, SCOPUS), 2022, 10(3), 15-36.
K Dehingia, SW Yao, K Sadri, A Das, HK Sarmah, A Zeb, M Inc, A study on cancer-obesity-treatment model with quadratic optimal control approach for better outcomes, Results Phys., (SCIE (Q2), SCOPUS) (IF = 4.565), 2022, 42:105963.
BJ Nath, K Dehingia, K Sadri, HK Sarmah, K Hosseini, C Park, Optimal control of combined antiretroviral therapies in an HIV infection model with cure rate and fusion effect, Int. J. Bimath., (SCIE (Q3), SCOPUS), (IF=2.129), 2022.
A Das, K Dehingia, HK Sarmah, K Hosseini, K Sadri, S Salahshour, Analysis of a delay-induced mathematical model of cancer, Adv. Cont. Discr. Mod., (SCIE (Q1), SCOPUS) (IF=2.803), (15) 2022.
BJ Nath, HK Sarmah, H Maurer, An optimal control strategy for antiretroviral treatment of HIV infection in presence of immunotherapy, Qual. Theory Dyn. Syst., (SCIE (Q2), SCOPUS) (IF=1.419), 30, (21) 2022.
A Das, HK Sarmah, D Bhattacharya, K Dehingia, K Hosseini, Combination of virotherapy and chemotherapy with optimal control for combating cancer, Math. Comput. Simul., (SCIE (Q1), SCOPUS) (IF=2.463), 2022, 194, 460-488.
AJ Kashyap, W Govaerts, D Bhattacharjee, HK Sarmah, Bifurcations analysis of a predator-prey system with density dependent disease recovery, Filomat, (SCIE (Q4), SCOPUS) (IF=0.8), 2022, 36(20), 6897-6922.
Journal Articles (2021)
1. AJ Kashyap, D Bhattacharjee, HK Sarmah, A fractional model in exploring the role of fear in mass moratility of pelicans in the Salton Sea, Int. J. Optim. Control: Theor. Appl., (ESCI, SCOPUS), 2021, 11(3), 28-51.
2. K Dehingia, HK Sarmah, Y Alharbi, K Hosseini, Mathematical analysis of a cancer model with time-delay in tumor-immune interaction and stimulation processes, Adv. Differ. Equ., (SCIE (Q1), SCOPUS) (IF = 2.803), 2021, 473, 1-27.
3. S Acharjee, K Goswami, HK Sarmah, Transitive maps in bitopological dynamical systems, Filomat, (SCIE (Q3), SCOPUS) (IF = 0.844), 2021, 35:6.
4. K Dehingia, HK Sarmah, K Hosseini, K Sadri, S Salahshour, C Park, An optimal control problem of immuno-chemotherapy in presence of gene therapy, AIMS Math., (SCIE(Q2), SCOPUS) (IF = 1.427), 2021, 6(10), 11530-11549.
5. A Das, K Dehingia, HK Sarmah, C Park, JR Lee, K Sadri, K Hosseini, S Salahshour, Optimal control of effector-tumor-normal cells dynamics in presence of adoptive immunotherapy, AIMS Math., (SCIE (Q2), SCOPUS) (IF = 1.427), 2021, 6(9), 9813-9834.
6. BJ Nath, K Dehingia, VN Mishra, Y Chu, HK Sarmah, Mathematical analysis of a within-host model of SARS-CoV-2, Adv. Differ. Equ., (SCIE (Q1), SCOPUS) (IF = 2.803), 2021, 113: 1-11.
7. D Bhattacharjee, AJ Kashyap, HK Sarmah, R Paul, Dynamics in a ratio-dependent eco-epidemiological predator-prey model having cross species disease transmission, Commun. Math. Biol. Neurosci., (SCOPUS, ESCI), 2021.
8. S Acharjee, K Goswami, HK Sarmah, On conjecture 2 of Nada and Zohny from the perspective of bi-topological dynamical systems, J. Math. Comput. Sci., (SCOPUS), 2021, 11(1), 278-291.
9. K Dehingia, HK Sarmah, MB Jeelani, A brief review on cancer research and its treatment through mathematical modelling, Annal. Cancer Res. Therapy, (SCOPUS), 2021, 29(1), 34-40.
Journal Articles (2020)
1. S Acharjee, K Goswami, HK Sarmah, On entropy of pairwise continuous map in bi-topological dynamical systems, Commun. Math. Biol. Neurosci., (SCOPUS, ESCI), 2020.
2. D Bhattacharjee, AJ Kashyap, K Dehingia, HK Sarmah, Dynamical analysis of a predator-prey epidemiological model with density dependent disease recovery, Commun. Math. Biol. Neurosci., (SCOPUS, ESCI), 2020.
3. BJ Nath, K Dehingia, HK Sarmah, A study on an HIV pathogenesis model with different growth rates of uninfected and infected CD4+ T cells, Asian J. Pharm. Res. Health Care, (ESCI), 2020, 12(4), 1-9.
4. BJ Nath, K Dehingia, HK Sarmah, Analysis of the dynamics of a mathematical model for HIV infection, J. Math. and Comput. Sci., (SCOPUS, ESCI), 2020, 23(3), 181-195.
5. BJ Nath, HK Sarmah, On dynamics of a mathematical model for HIV infection with fusion effect and cure rate, Commun. Math. Biol. Neurosci., (SCOPUS, ESCI), 2020.
6. K Dehingia, A Das, HK Sarmah, BJ Nath, An analysis of a cancer treatment model of gene therapy in combination with two other primary therapies, J. Math. Control Sci. App., (SCOPUS), 2020, 6(2), 127-142.
7. S Acharjee, K Goswami, HK Sarmah, On forward iterated hausdorffnessand development of embryo from zygote in bi-topological dynamical systems, Bull. Transilv. Univ. Bras. III: Math. Inform. Phys., (SCOPUS), 2020, 399-410.
8. G Choudhury, A Goswami, A Begum, HK Sarmah, Stochastic decomposition result of an unreliable queue with two types of services, Math. Stat., (SCOPUS), 2020, 8(2), 225-232.
Journal Articles (Upto 2019)
1. G Choudhury, A Mahanta, HK Sarmah, R Paul, Cantor set as a fractal and its application in detecting chaotic nature of piecewise linear maps, Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci., (SCIE (Q3), SCOPUS) (IF = 1.54), 2019, 90, 749-759.
2. BC Kalita, R Das, HK Sarmah, Weakly relativistic solitons in a magnetized ion-beam plasma in presence of electron inertia, Phys. Plasmas, (SCI (Q3), SCOPUS) (IF = 2.02), 2011.
3. N Ahmed, HK Sarmah, D Kalita, Thermal diffusion effect on a three-dimensional MHD free convection with mass transfer flow from a porous vertical plate, Lat. Am. Appl. Res., (SCIE (Q4), SCOPUS) (IF = 0.184), 2011, 41: 165-176.
4. BC Kalita, R Das, HK Sarmah, Weakly relativistic effect in the formation of ion-acoustic solitary waves in a positive ion-beam plasma, Can. J. Physics, (SCIE (Q4), SCOPUS) (IF = 1.24), 2010.
5. TK Dutta, HK Nath, HK Sarmah, Compact hermitian operators on projective tensor products of banach algebras, Int. J. Math. Mathematical Sci., (SCOPUS, ESCI), 2002.