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Motivated by the unusual evolution of magnetic phases in stoichiometric andCo-doped YbRh2Si2, we study Heisenberg models with competing ferromagnetic andantiferromagnetic ordering combined with competing anisotropies in exchangeinteractions and g factors. Utilizing large-scale classical Monte-Carlosimulations, we analyze the ingredients required to obtain the characteristiccrossing point of uniform susceptibilities observed experimentally near theferromagnetic ordering of Yb(Rh0.73Co0.27)2Si2. The models possessmulticritical points, which we speculate to be relevant for the behavior ofclean as well as doped YbRh2Si2. We also make contact with experimental data onYbNi4P2 where a similar susceptibility crossing has been observed.

Competing orders, competing anisotropies, and multicriticality: The case of Co-doped YbRh2Si2