Two-dimensional Fractional System of Nonlinear Difference Equations in the Modeling Competitive Populations
نویسنده
چکیده
In this paper we have already investigated the solutions of the two-dimensional fractional system of nonlinear difference equations in the modeling competitive populations in the form 1 1 1 1 1 1 & n n n n n n n n x y x y x y y x (1) where and are real numbers with the initial conditions 1 0 1 , , , x x y and 0 y such that 1 0 x y and 1 0 y x . Moreover, we have studied the local stability, global stability, boundedness and periodicity of solutions. We will consider some special cases of (1) as applications. Finally, we give some numerical examples. --------------------------------------------------------
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