Global dynamics of delay recruitment models with maximized lifespan
10-12-2016 16:53
We study the dynamics of the differential equation u_(t)=-γ u (t)+ bf (u (t-τ))-cf (u (t-σ))
u′(t)=-γ u (t)+ bf (u (t-τ))-cf (u (t-σ)) with two delayed terms, representing a positive and a
negative feedback. We prove delay-dependent and absolute global stability results for the
trivial and for the positive equilibrium. Our theorems provide new mathematical results as
well as novel insights for several biological systems, including three-stage populations,
neural models with inhibitory and excitatory loops, and the blood platelet model of Bélair ...