TITLE:
On the Global Attractivity of a Delayed Boom Model with Diffusion
AUTHORS:
Yoshihiro Hamaya, Kaori Saito
KEYWORDS:
Delayed SEIR Type Model of Boom with Diffusion, Global Attractor, Strong Maximum Principle
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.16 No.4,
April
30,
2026
ABSTRACT: Some mathematical boom equation of SEIR type with diffusion, which appears as a model of social and economical boom for the spread of trend-causing, is treated. The asymptotic properties of the diffusive equation are studied by applying the strong maximum principle, strong fading memory property and luxury Liapunov functions.