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International Conference: 2004 - Dynamical Systems and Applications
July 5-10, 2004

Antalya, Turkey

Organizers
Akca Haydar, Basem S. Attili, Boucherif Abdelkader, Cho Yeol Je, Covachev Valery, Gyori Istvan, Maksimov Vyacheslav, Stavroulakis Ioannis P.

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Existence and uniqueness of solutions to a diffusive predator-prey model
by
Marwan S. Abualrub
Zayed University/ NQS Dept./ P.O.Box 19282/ Dubai / UAE

A model for predator-prey has been considered, existence and uniqueness to the diffusion of such model has been shown.

Predator-prey systems have been described properly using mathematical models. Such models describe the interaction between multi-species, particularly two species for which the growth rate of one of the species is increased but decreased for the other.

In this paper, we consider the more realistic case; namely a diffusion model in the (x1, x2) plane instead of the one dimensional case. In such model, we consider two coupled nonlinear parabolic partial differential equations (PDEs) including diffusion.

2000 Mathematics Subject Classification code: 92B99

Keywords : diffusion, predator, prey.

Date received: September 4, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # calu-06.