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Global Properties of Evolutional Lotka-Volterra System

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DOI: 10.4236/apm.2013.39097    3,589 Downloads   4,896 Views  


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.

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The authors declare no conflicts of interest.

Cite this paper

M. Yoshino and Y. Tanaka, "Global Properties of Evolutional Lotka-Volterra System," Advances in Pure Mathematics, Vol. 3 No. 9, 2013, pp. 709-718. doi: 10.4236/apm.2013.39097.


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