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- Title
A nonstandard finite difference method applied to a mathematical cholera model with spatial diffusion.
- Authors
Shu Liao; Weiming Yang
- Abstract
In this paper, we propose a nonstandard finite difference (NSFD) scheme to solve numerically a cholera epidemic model with spatial diffusion. Through constructing discrete Lyapunov functions, we prove the globally asymptotical stabilities of the diseasefree equilibrium and the chronic infection equilibrium, which coincide with the corresponding continuous model. Finally, numerical simulations are provided to illustrate the theoretical results.
- Subjects
FINITE difference method; NUMERICAL analysis; LYAPUNOV functions; DIFFERENTIAL equations; COMPUTER simulation
- Publication
Journal of Computational Analysis & Applications, 2019, Vol 26, Issue 1, p1000
- ISSN
1521-1398
- Publication type
Article