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.

Citation details of the article

Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 32
Issue: 5
Year: 2019

DOI: 10.12732/ijam.v32i5.2

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