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A class of reaction-diffusion virus dynamics models with intracellularstate-dependent delay and a general non-linear infection rate functionalresponse is investigated. We are interested in classical solutions withLipschitz in-time initial functions which are adequate to the discontinuouschange of parameters due to, for example, drug administration. The Lyapunovfunctions technique is used to analyse stability of interior infectionequilibria which describe the cases of a chronic disease.

Viral infection model with diffusion and state-dependent delay: stability of classical solutions