POSITIVE T-PERIODIC SOLUTIONS OF A GENERALIZED N ICHOLSON ’ S BLOWFLIES MODEL WITH A NONLINEAR HARVESTING TERM WITH DELAY

P. AMSTER; A. DÉBOLI

Buenos Aires

Congreso; IV Congreso de Matemática Aplicada, Computacional e Industrial; 2013

ASAMACI

In an article of L. Berezansky raises the following open problem: give sufficient conditions for the existence of a T -periodic positive solution for the Generalized Nicholson Model with a nonlinear Harvesting term. Recently, F. Long solved a special case of the problem with a linear harvesting term with a delay that depends on the estimated population. In this paper we extend this result giving sufficient conditions for the existence of a T -positive periodic solution for a generalized model of Nicholson type with m delays and a nonlinear harvesting term depending on one of those delays.