Suffcient conditions for oscillations of a first-order system with delay

PABLO AMSTER; MARIEL PAULA KUNA; ALBERTO DÉBOLI

Comodoro Rivadavia

Congreso; VI Congreso de Matemática Aplicada, Computacional e Industrial; 2017

ASAMACI

In this work, we consider a system of first order differential equationswith delays which appears in many population biological models (cite{S} cite{D}). More specifically we prove, using thetopological degree theory, existence of periodic solutions of following system     egin{equation}    label{delay}    u_i´(t)=a_iu_i(t)+b_iu_i(t-au_i)+g_i(u_1(t-au_1),u_2(t-au_2))+p_i(t), ;; i =1, 2.    end{equation}