Invariant algebraic curves and the first integral for a class of Kolmogorov systems

  • Mouna Yahiaoui University Bejaia, Algeria
  • Rachid Boukoucha University Bejaia, Algeria


In this paper we introduce an explicit expression of invariant algebraic curves of the multi-parameter planar Kolmogorov systems. then we proved that these systems are integrable and introduced an explicit expression for a first integral.