Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system
نویسندگان
چکیده
Q -conditional symmetries of the classical diffusive Lotka–Volterra system in the case of one space variable are completely described and a set of such symmetries in explicit form is constructed. The relevant non-Lie ansatz to reduce the diffusive Lotka–Volterra systems with correctly specified coefficients to ODE systems and examples of new exact solutions are found. A possible biological interpretation of some exact solutions is presented. © 2011 Elsevier Ltd. All rights reserved.
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ورودعنوان ژورنال:
- Mathematical and Computer Modelling
دوره 54 شماره
صفحات -
تاریخ انتشار 2011