ANALYSIS OF PLANT-SOIL MODELS WITH VARIOUS FUNCTIONAL NITROGEN UPTAKE KINETICS

Abstract

This paper analyzes the Plant-Soil Models with functional nitrogen uptake kinetics. In this work we focus on the effects of using different forms of nitrogen uptake kinetic function for the dynamics of Plant-Soil model including Holling type II and III. We present the derivations of these two different type of functional kinetics for the general enzyme-substrate reaction process. For the Plant-Soil Model the local existence and positive invariance of the solution are investigated. Also some conditions to guarantee that the model possesses a unique positive equilibrium point are suggested. AMS Subject Classification: 34A12, 34C11