3 papers
eess.SY2025
A Saturation-Based Optimal Velocity Model for Traffic Flow Dynamics
Nizhum Rahman, Trachette L. Jackson
Many headway-based car-following models describe longitudinal adaptation through linear relaxation laws, which can produce unrealistically large accelerations and limit the physica…
q-bio.PE2024
Front stability of infinitely steep travelling waves in population biology
Matthew J Simpson, Nizhum Rahman, Alexander KY Tam
Reaction-diffusion models are often used to describe biological invasion, where populations of individuals that undergo random motility and proliferation lead to moving fronts. Man…
math-ph2021
A note on the Sine-Gordon expansion method and its applications
Nizhum Rahman
The sine-Gordon expansion method; which is a transformation of the sine-Gordon equation has been applied to the potential-YTSF equation of dimension (3+1) and the reaction-diffusio…