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math.AP2019
Existence of pulses for a reaction-diffusion system of blood coagulation
Nicolas Ratto, Martine Marion, Vitaly Volpert
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…
math.AP2009
Solvability Conditions for Some non Fredholm Operators
Vitali Vougalter, Vitaly Volpert
We obtain solvability conditions for some elliptic equations involving non Fredholm operators with the methods of spectral theory and scattering theory for Schrodinger type operato…
math.AP2005
On a New Mechanism of Pattern Formation in Population Dynamics
Stephane Genieys, Vitaly Volpert, Pierre Auger
We study a reaction-diffusion equation with an integral term describing nonlocal consumption of resources. We show that a homogeneous equilibrium can lose its stability resulting i…