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Global Properties of Evolutional Lotka-Volterra System
Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, Japan
Research Center for Environmental Risk, National Institute for Environmental Studies, Tsukuba, Japan
- 1 Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, Japan
- 2 Research Center for Environmental Risk, National Institute for Environmental Studies, Tsukuba, Japan
Advances in Pure Mathematics·Volume 03 (2013)·Pages 709–718·Published 28 November 2013·DOI10.4236/apm.2013.39097
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Abstract
We will study global properties of evolutional Lotka-Volterra system. We assume that the predatory efficiency is a function of a character of species whose evolution obeys a quantitative genetic model. We will show that the structure of a solution is rather different from that of a non-evolutional system. We will analytically show new ecological features of the dynamics.
KeywordsLotka-Volterra SystemGlobal DynamicsEvolution
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