Diffusive Lotka-Volterra System: Lie Symmetries and Exact and Numerical Solutions

• Datum: 2004
• Hauptverfasser: Dushka, V. A., Cherniga, R. M., Душка, В. А., Черніга, Р. М.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2004
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3852
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We present a complete description of Lie symmetries for the nonlinear diffusive Lotka-Volterra system. The results are used for the construction of exact solutions of the Lotka-Volterra system, which, in turn, are used for solving the corresponding nonlinear boundary-value problems with zero Neumann...