BUET : Departmental Website

Mr. Md. Nahid Hasan

Lecturer
Specialization

Mathematical Modeling in Biology, Mathematical Epidemiology, Mathematics of Network

Academic Biography

BS (Hon's) in Mathematics (DU)
MS in Mathematics (DU)

Contact

Email: nhasan@math.buet.ac.bd

Educational Information

BS (Hon's), University of Dhaka, 2018
MS, University of Dhaka, 2019

Research Accounts

https://www.researchgate.net/profile/Md-Hasan-170
https://scholar.google.com/citations?hl=en&authuser=1&user=kewnOT4AAAAJ

Professional Memberships

Bangladesh Mathematical Society LM-1547
Bangladesh Society for Mathematical Biology OM-05

Research Interests

Mathematical Finance
Theoretical and Computational Biology
Graph Theory

All Publications
Md. Nahid Hasan *IVESR Rumor Spreading Model in Homogeneous Network with Hesitating and Forgetting Mechanisms* ACM, Journal of Applied Mathematics and Computation, 5(2), 105-118. DOI: 10.26855/jamc.2021.06.005, 2021 Publication Type: Journal View Summary/Abstract , Publication Link In this paper, we study a new IVESR rumor spreading model with hesitating and forgetting mechanisms in homogeneous network. The rumor free and rumor prevailing equilibriums, and the basic reproduction number are calculated from the mean-field equations of the model. The local and global stability of rumor free equilibrium are proved by using Lyapunov function and LaSalle invariance principle, and the existence of rumor prevailing equilibrium is shown. In numerical simulations, it is found that the vaccination, prohibiting people to spread the rumor, can lessen the propagation of rumor in the network. We also show that the fuzziness of the rumor has a great impact on the size of spreader and the forgetting factor has a great effect on the rumor prevailing duration. Furthermore, we analyze the sensitivity of different parameters on and discussed how they affect the spreading and controlling of the rumor.

All Publications

Md. Nahid Hasan
IVESR Rumor Spreading Model in Homogeneous Network with Hesitating and Forgetting Mechanisms
ACM, Journal of Applied Mathematics and Computation, 5(2), 105-118. DOI: 10.26855/jamc.2021.06.005, 2021
Publication Type: Journal
View Summary/Abstract , Publication Link

In this paper, we study a new IVESR rumor spreading model with hesitating and forgetting mechanisms in homogeneous network. The rumor free and rumor prevailing equilibriums, and the basic reproduction number are calculated from the mean-field equations of the model. The local and global stability of rumor free equilibrium are proved by using Lyapunov function and LaSalle invariance principle, and the existence of rumor prevailing equilibrium is shown. In numerical simulations, it is found that the vaccination, prohibiting people to spread the rumor, can lessen the propagation of rumor in the network. We also show that the fuzziness of the rumor has a great impact on the size of spreader and the forgetting factor has a great effect on the rumor prevailing duration. Furthermore, we analyze the sensitivity of different parameters on and discussed how they affect the spreading and controlling of the rumor.