Abstract
For the equations of population dynamics, this note presents three symmetries: a coordinate symmetry, an additive symmetry and an exchange symmetry. Among them, additive symmetry is a new one that should be held in equations of population dynamics particularly those for quasispecies. The distinguishability between species is also stressed to obtain the stability condition of 2-dim Lotka-Volterra model that satisfies the additive symmetry.
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Ishida, Y. (2007). A Note on Symmetries on Equations of Population Dynamics and Stability Conditions. In: Apolloni, B., Howlett, R.J., Jain, L. (eds) Knowledge-Based Intelligent Information and Engineering Systems. KES 2007. Lecture Notes in Computer Science(), vol 4694. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74829-8_97
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DOI: https://doi.org/10.1007/978-3-540-74829-8_97
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74828-1
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