Title of article :
Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
Original Research Article
Author/Authors :
M.A. Aziz-Alaoui، نويسنده , , M. Daher Okiye، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2003
Abstract :
We present a two-dimensional continuous time dynamical system modeling a predator-prey food chain, and based on a modified version of the Leslie-Gower scheme and on the Holling-type II scheme. The main result is given in terms of boundedness of solutions, existence of an attracting set and global stability of the coexisting interior equilibrium.
Keywords :
differential equations , Leslie-Gower , Holling-type-II , Stability , Boundedness , Lyapunov function
Journal title :
Applied Mathematics Letters
Journal title :
Applied Mathematics Letters