BOUNDEDNESS CRITERIA FOR SOLUTIONS OF
PERTURBED KOLMOGOROV POPULATION MODELS

H.I. FREEDMAN AND A.A. MARTYNYUK

Abstract. Criteria for the boundedness of solutions for both unperturbed and perturbed Kolmogorov models in terms of two-measures are developed. The two-measure analysis utilizes the methods of matrix Lyapunov functions. This analysis is carried out for systems of ODEs and for systems with time delay.