Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
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DOI：
10.1016/j.jmaa.2006.01.087
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发表时间：
2007-01-01
影响因子：
1.3
通讯作者：
El-Saka, H. A. A.
中科院分区：
文献类型：
--
作者：
Ahmed, E.;El-Sayed, A. M. A.;El-Saka, H. A. A.
本文研究了分数阶捕食者-食饵模型和分数阶狂犬病模型。证明了解的存在唯一性。研究了平衡点的稳定性。给出了这些模型的数值解。一个例子给出的平衡点是整数阶系统的中心，但其分数阶对应的局部渐近稳定。(c)2006年爱思唯尔公司All rights reserved.
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.