Existence of pulses for a reaction-diffusion system of blood coagulation

Abstract

The paper is devoted to the investigation of a reaction-diffusion system of equations describing the process of blood coagulation. Existence of pulses solutions, that is, positive stationary solutions with zero limit at infinity is studied. It is shown that such solutions exist if and only if the speed of the travelling wave described by the same system is positive. The proof is based on the Leray-Schauder method using topological degree for elliptic problems in unbounded domains and a priori estimates of solutions in some appropriate weighted spaces.

Patient-Specific Modelling of Blood Coagulation

“…The proof of the existence of solutions is based on the Leray-Schauder method. It is similar to the proof for more complete models of blood coagulation (Galochkina et al 2018;Ratto et al 2020b). The spectral properties of the operator L follow from Volpert and Volpert (2020).…”

“…2018 ; Ratto et al. 2020b ). The spectral properties of the operator L follow from Volpert and Volpert ( 2020 ).…”