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ON THE UNION OF VOLTERRA-TYPE POPULATIONS

2006
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Demonstratio Mathematica
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where i -1,2,..., m, each u l (0) > 0, the e, and p l j are real constants and the e^ are so chosen that the system has a positive stationary solution («¿) = (pi). The system is called globally asymptotically stable if every solution («¿) tends to (pt) as t -» oo. Suppose we have another system like this one, with n unknowns V{ instead of Ui and positive stationary solution ((ft) instead of (pi). We form a system inm+n unknowns (u, v) by joining some of the vertices of the graph G(p) to some of

doi:10.1515/dema-2006-0117
fatcat:igd54dmelbho7pw4dv4d4hgtci