Solving Meta-Population Models Using the Multistage Spectral Relaxation Method (MSRM)

Abstract

Abstract

In this thesis we presented two mathematical models for herbivore/vegetation

interactions. The first model is a metaphysiological model in a single patch environment.

The second model is a metaphysiological model for herbivore and

vegetation interactions in two patches environment. We applied the multistage

spectral relaxation method (MSRM) to solve these models. The MSRM method

was presented to solve initial-value problems when the time domain is decomposed

to sub-domains. We compared our results to the results that obtained

from the MATLAB built-in function ode45.