Global stability of a discrete virus dynamics model with diffusion and general infection function

ABSTRACT

We investigate a discrete virus dynamics model with diffusion and general infection function. For this model, we derive the basic reproduction number and show the global stability of the equilibria. Example and numerical simulation are performed to illustrate the theoretical results.

KEYWORDS:

• Non-standard finite difference
• virus dynamics model
• global stability
• infection function
• Lyapunov function

2010 AMS SUBJECT CLASSIFICATIONS:

• 65M06
• 92D30

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This research was supported by the National Natural Science Foundation of China [grant nos. 11501518 and 11501519].