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

Abstract

A class of reaction-diffusion virus dynamics models with intracellular state-dependent delay and a general non-linear infection rate functional response is investigated. We are interested in classical solutions with Lipschitz in-time initial functions which are adequate to the discontinuous change of parameters due to, for example, drug administration. The Lyapunov functions technique is used to analyse stability of interior infection equilibria which describe the cases of a chronic disease.

17 pages

References in corpus (2)

• Stability of a viral infection model with state-dependent delay, CTL and antibody immune responses
• Local properties of solutions to non-autonomous parabolic PDEs with state-dependent delays

Cited by in corpus (2)

• Longterm existence of solutions of a reaction diffusion system with non-local terms modeling an immune response -- an interpretation-orientated proof
• Stability of a retrovirus dymanic model