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Invadibility in monomorhic two-species systems
Joźsef Garay
Research Group of Theoretical Biology and Ecology, the Hungarian Academy
of Science and L. Etvs University, Department of Plant Taxonomy and Ecology,
Pzmny Pter stny 1/C
H-1117 Budapest
Hungary
e-mail: [email protected]
url: http://ramet.elte.hu
Abstract
The basic situation of biological coevolution is that in a resident system, where individuals of several species interact with each other, a new
mutant clone arises. Then, according to the density dynamics describing the ecological interaction of individuals, the mutant either goes extinct or replaces some resident species or builds into the resident system.
One of the main points of this picture is that the entry of selection is
determined by ecological dynamics. Therefore, we consider a two species
Lotka-Volterra system in which the interaction parameters depend on two
interacting individuals phenotypes. Using dynamical stability analysis, we
answer the following purely ecological question: What kind of mutant can
invade into the resident system and replace its own maternal type?
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