Applying Jacobian matrix for approach of Zagros rangeland Ecosystems dynamics

In practice, much of the ecological research into the question of long term coexistence of species has regarded this as an equilibrium problem. In theoreticalecology, stability is a wide plant species used measure of ecosystem persistence and has made a major contribution to the ecosystem stability and complexitydebate over the last few decades. We studying the frequency of discrepancy and the causes of non-Resistance at the boundary of the stable state space and correlate them to aspects of ecosystem complexity in Zagros ecosystems. We tested model ecosystems for Zagros rangeland plant species, using the familiar Lotka- Volterra (L-V) equations which describe the dynamics of n species. The complexity and stability of model ecosystem was defined by Jacobian matrix and solved as a linear programming problem in MATLAB (version 7). We resultsshowed relationships between Resistance and complexity in Zagros rangeland ecosystem and report a correlation between the possibility of stability andResistance in these ecosystem. Stable equilibrium tends to have unstable boundary equilibrium. In Zagros rangelands ecosystems plant species stable stateboundary is inconsistent with permanent dynamics; this can explain the positive correlation between stability and permanence. Resistance is coming to be regarded as a more satisfactory definition of ecosystem persistence and has relative plantspecies recent plant species become available as a tool for assessing the stability of (L-V) communities. We results are, at least in L-V ecosystems, that stability may be a better measure of persistence and then plant species thought.

Keywords:

Zagros rangeland , Ecological persistence , Ecosystem dynamic