Dynamics Of A Stoichiometric Plant-Herbivore Model

In recent years, a variety of stoichiometry-based models have been proposed and studied. Those analysis have shown that the nutritional quality of producer can impact the living rate of grazer and even lead to extinction , and grazer-producer interactions can shift from a (+, -) type to an unusual (-,-—) class. Although most models are continuous, many producers in nature have non-overlapping generations and our experiment data collected are discrete in time, so in this paper, we'll revisit the dynamical interaction between plant and herbivore in , then make a discrete analog for the continuous model. Comparing the dynamics between the continuous model and its discrete analog, it can been shown that our discrete model has some same and different dynamic actions with the continuous model, we also find that the discrete model in our paper includes the discrete LKE model (Loladze , kuang and Elser (2000)) as a special case, and the stoichiometric impacts of producer quality positively persist in our discrete system.