Abstract
In this paper, we study the global properties of two general models for viral infection with humoral immune response. The incidence rate of infection, the removal rate of infected cells, the production and neutralize rates of viruses and the activation and removal rates of B cells are given by more general nonlinear functions. The second model generalizes the first one by taking into account the latently infected cells. We assume that the latent-to-active conversion rate is also given by a more general nonlinear function. For both models, we derive two threshold parameters and establish a set of conditions on the general functions which are sufficient to determine the global dynamics of the models. By using suitable Lyapunov functions and LaSalle’s invariance principle, we prove the global asymptotic stability of all equilibria of the models.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
