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Exact solutions of fractional-order biological population model. (English) Zbl 1184.92038
Summary: The G. Adomian’s decomposition method (ADM) [J. Math. Anal. Appl. 135, No. 2, 501–544 (1988; Zbl 0671.34053)] is presented for finding the exact solutions of more general biological population models. A new solution is constructed by power series. The fractional derivatives are described in the M. Caputo sense [Ann. Univ. Ferrara, Nuova Ser., Sez. VII 41, 73–84 (1995; Zbl 0882.34007)]. To illustrate the reliability of the method, some examples are provided.
MSC:
92D25Population dynamics (general)
35Q92PDEs in connection with biology and other natural sciences
28A80Fractals
35K57Reaction-diffusion equations
37F99Complex dynamical systems