Abstract
AbstractThis paper deals with the asymptotic behavior of solutions for the diffusive epidemic model with logistic growth. In the first part, we consider the initial boundary value problem on the bounded domain and derive the stabilization of the solutions of the reaction–diffusion system to a constant equilibrium. In the second part, we consider the initial value problem on $${\mathbb {R}},$$
R
,
and derive the stability of forced waves under certain perturbations of a class of initial data.
Funder
JSPS KAKENHI Grant-in-Aid for Scientific Research
JSPS KAKENHI Grant-in-Aid for JSPS Fellows
Tokyo Metropolitan University
Publisher
Springer Science and Business Media LLC
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