Photo from wikipedia
In this paper, we construct and analyze nonstandard finite difference (NSFD) schemes for a computer virus propagation model. We prove theoretically that the proposed NSFD schemes preserve essential qualitative properties… Click to show full abstract
In this paper, we construct and analyze nonstandard finite difference (NSFD) schemes for a computer virus propagation model. We prove theoretically that the proposed NSFD schemes preserve essential qualitative properties of the continuous model. These properties are positivity and boundedness of solutions, equilibria and their stability properties. The performed numerical simulations support the theoretical results. The numerical experiments also show that standard finite difference schemes fail to preserve the essential properties of the continuous model for large step sizes.
Journal Title: International Journal of Dynamics and Control
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!