TRAVELING WAVES FOR A BISTABLE REACTION-DIFFUSION EQUATION WITH DELAY.

Autor: TROFIMCHUK, SERGEI, VOLPERT, VITALY
Předmět:
Zdroj: SIAM Journal on Mathematical Analysis; 2018, Vol. 50 Issue 1, p1175-1199, 25p
Abstrakt: The paper is devoted to a reaction-diffusion equation with delay arising in modeling the immune response. We prove the existence of traveling waves in the bistable case using the Leray-Schauder method. Differently from the previous works, we do not assume here quasi-monotonicity of the delayed reaction term. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index