Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:325

Article

Ahmed, E. ; El-Sayed, A. M. A. ; El-Saka, H. A. A.

关键词: existence and uniqueness;    predator-prey system;    rabies system;    fractional-order differential equations;    equilibrium points;    stability;    numerical solution;    predictor-corrector method;   

DOI  :  10.1016/j.jmaa.2006.01.087

来源: Elsevier

【 摘 要 】

In this paper we are concerned with the fractional-order predator-prey model and the fractional-order rabies model. Existence and uniqueness of solutions are proved. The stability of equilibrium points are studied. Numerical solutions of these models are given. An example is given where the equilibrium point is a centre for the integer order system but locally asymptotically stable for its fractional-order counterpart. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

Free