# Re: Suchomimus tenerensis mathematical model

`Hello,`

This should produce a dynamic system. If I recall the determining factor should be the growth rate of both predator and prey. Depending on the ratios of these growth rates the system can either go to extinction immediately, stabilise at (or somewhere below) carrying capacity, develop oscillations (of various types) or become stochastic.

Its amazing the number of phenomena that two relatively simple, but coupled, equations can produce.

`S!`

`-Jonas Weselake-George`

----- Original Message ----- From: "Yasmani Ceballos Izquierdo" <yceballos@uci.cu>
To: "dml" <dinosaur@usc.edu>
Sent: Monday, June 22, 2009 10:00 PM
Subject: Suchomimus tenerensis mathematical model

`Dear List,`

`What is the mathematical model of this problem:`

A herd of fish-eating dinosaur, Suchomimus tenerensis , lived near a lake in Africa in the Cretaceous period. Suppose that the dinosaur population of size N ( t ) grows logistically, with carrying capacity proportional to the population of the fish F ( t ) in the lake, while F also grows logistically (with constant carrying capacity), but is depleted by predation at a rate proportional to both F and N . Suchomimus tenerensis , lived near a lake in Africa in the Cretaceous period. Suppose that the dinosaur population of size N ( t ) grows logistically, with carrying capacity proportional to the population of the fish F ( t ) in the lake, while F also grows logistically (with constant carrying capacity), but is depleted by predation at a rate proportional to both F and N .
Could you recommend me some expert in mathematical models in biology?