SeminarsTraveling wave solutions in Lotka-Volterra systems of three competing species : existence and nonexistence
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Li-Chang Hung
2011-11-04
13:30:00 - 15:00:00
308 , Mathematics Research Center Building (ori. New Math. Bldg.)
A traveling wave solution to a Lotka-Volterra system of three competing species is found. By applying the comparison principle for elliptic equations, we then show the nonexistence of traveling wave solutions for certain parameters which appear in the system. In particular, a phenomenon is observed, i.e., the nonexistence of traveling wave solutions is induced when a small perturbation on some parameters is made.