NONSTANDARD FINITE DIFFERENCE SCHEMES WITH APPLICATION TO BIOLOGICAL MODELS

NONSTANDARD FINITE DIFFERENCE SCHEMES WITH APPLICATION TO BIOLOGICAL MODELS

M. M. Khalsaraei, M. Shahriari

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Abstract

This paper deals with the construction of nonstandard nite dierence meth- ods for solving a specic Rosenzweig-MacArthur predator-prey model. The reorgani- zation of the denominator of the discrete derivatives and nonlocal approximations of nonlinear terms are used in the design of new schemes. We establish that the proposed nonstandard nite dierence methods are elementary stable and satisfy the posi

Keywords

Predator{prey, Positivity, Elementary stability, Nonstandard nite dierence.