Department of Biomathematics научен ръководител: доц. д-р Нели Димитрова
Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
In this paper we study a two-dimensional predator-prey type model, described by a system of nonlinear ordinary differential equations. We find the equilibrium points of the system and analyze their local and global stability with respect to the parameters of the model. Using the BifTools package in Maple, we analyze the bifurcations of the equilibrium points, as well. Some numerical simulations are presented to illustrate the analytically derived results.
[Ivanov Tihomir Bogoslovov; Иванов Тихомир Богословов]