Continuous-time biological models including epidemic models and a competition population model are presented. Nonstandard finite difference methods are then applied to approximate these continuous-time systems. The resulting difference equations are studied and comparisons between continuous-time and discrete-time models are made. In particular, conditions for the existence and stability of steady states are investigated. Numerical simulations of the discrete approximations are also presented.
|Title of host publication||Advances in the Applications of Nonstandard Finite Diffference Schemes|
|Publisher||World Scientific Publishing Co.|
|Number of pages||35|
|ISBN (Print)||9812564047, 9789812564047|
|State||Published - Jan 1 2005|