Ladde, G. S. (ed.) et al., Dynamic systems and applications. Vol. 1. Proceedings of the 1st international conference, held at Morehouse College, Atlanta, GA, USA, May 26-29, 1993. Atlanta, GA: Dynamic Publishers, Inc. 87-93 (1994).
The permanence and oscillation of a model of a perennial grass are studied. The model was introduced by Tilman and Wedin and can be expressed by the equation
where and is an arbitrary positive initial condition.
The study of the global stability of the positive equilibrium of the above equation is very difficult. For this reason the authors also investigate the model
where and .