The dynamics of a stoichiometric plant-herbivore model and its discrete analog.

Dynamics of a discrete-time plant-herbivore model

Stoichiometric plant-herbivore models and their interpretation.

The purpose of this note is to mechanistically formulate a mathematically tractable model that specifically deals with the dynamics of plant- herbivore interaction in a closed phosphorus (P)-limiting environment. The key to our approach is the employment of the plant cell P quota and the Droop equation for its growth. Our model takes the simple form of a system of two autonomous ordinary differ...

Dynamics of a plant-herbivore model.

We formulate a simple host-parasite type model to study the interaction of certain plants and herbivores. Our two-dimensional discrete-time model utilizes leaf and herbivore biomass as state variables. The parameter space consists of the growth rate of the host population and a parameter describing the damage inflicted by herbivores. We present insightful bifurcation diagrams in that parameter ...

A Two Patch Model for Plant-herbivore Interactions

Our objective is to understand how insect (parasite) migration is impacted by the local population dynamics. We formulate and study a simple two patch discrete time plant herbivore (parasite) model. A fundamental feature of the model is the occurrence of three different time separated phases: Plant growth is followed by a parasite attack which is followed by a dispersal of the parasite. Our mod...

Application of Independent Joint Control Strategy for Discrete-Time Servo Control of Overhead Cranes

In this study, a new servo control system is presented for the overhead crane based on discrete-time state feedback approach. It provides both robust tracking and load swing suppression. Inspired from independent joint and computed torque control in robot manipulator field, a new model is derived in which the crane actuators are considered as the main plant. The crane nonlinearities are then tr...