Synthetic analogs of general formula (I-A),(I-A)a-Ile-b-c-d-e-f-Lys-Lys-g-h-i-j-Ile-k-Lys-NH2where a is Gly, Lys or β-Ala; b is Met, Leu, Nle, Ile, Trp, Val or Phe; c is Ser, Lys, Arg or Orn; d is Ser, Lys, Arg or Orn; e is Leu, Nle, Ile, Trp, Val or Phe; f is Met, Leu, Nle, Ile, Trp, Val or Phe; g is Leu, Nle, Ile or Trp; h is Lys, Arg, Orn or Ala; i is Lys, Arg, Orn or Ala; j is Ile, Leu, Nle or His; k is Lys, Arg, Orn or Ala; where amino acids in all positions may be in D-configuration, and their use for the treatment of topical infections caused by pathogenic bacteria or yeasts.