Analysis of differential equation models in biology: a case study for clover meristem populations

Biological scenarios are given in which it is more appropriate to use diffe rential equations, rather than the more commonly used difference equations, to model the processes occurring. The relative merits of small simple mode ls and large-scale simulation models are compared. A simple differential eq uation model (dynamical system) for clover, based on meristem numbers, is o utlined and analysed mathematically. The model possesses two steady states, and a threshold condition dictating which of these steady states is ultima tely achieved is presented. The advantages in nondimensionalising the model are demonstrated, highlighted by reduction of parameter dependence and inc reased efficiency over conventional means of sensitivity analysis.