Dynamics of a Stoichiometric Regrowth-Consumer Model

Abstract

The relationship between the producer and the consumer is important in grassland ecosystems. Most producer-consumer models only consider food quantity and focus on the above ground part of producers in producer-consumer interactions, while food quality and the below ground part of the producer can be an important factor in these models. We developed a stoichiometric producer-consumer model, where the producer represents a primary production in terrestrial plant with above ground and below ground parts subject to stoichiometric constraints of carbon and phosphorus. The analysis shows that the dynamic behavior of the model is richer than that of the traditional producer-consumer models. The solution curves of the model can be used to explain the paradox of enrichment and reflect the rapid growth of the vegetation. Our findings help understand and interpret the relationship between the producer and the consumer in grassland ecosystems and provide guidance for ecosystem management on maintaining ecological equilibrium.