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In the paper we develop a method to evaluate the topological degree of thePoincare map of the mathematical model of narrow lagoon subject to a T-periodicforcing. Using the method developved we arrive to the conditions for theparameteres that guarantee the existence of T-periodic solutions in a givenregion. The difficulty towards implementing this plan is caused by the factthat the direct employing of M.A. Krasnoselski-A.I. Perov irreversibilityapproach leads to a singular vector field.

On evaluation of the topological degree of the Poincare map in some singular situations