Mackey-Glass model of hematopoiesis with monotone feedback revisited

作者：Berezansky Leonid; Braverman Elena^*; Idels Lev

来源：Applied Mathematics and Computation, 2013, 219(9): 4892-4907.

DOI：10.1016/j.amc.2012.10.052

• Mackey-Glass equation
• Negative feedback
• Global asymptotic stability
• Permanence
• Oscillation
• Non-oscillation
• Local stability
• Blood cell production

For the blood cell production model %26lt;br%26gt;dx/dt - -alpha x(t) + F-0 theta(n)/theta(n) + x(n)(t - tau)%26apos; %26lt;br%26gt;we review known results. Permanence of solutions, oscillation and stability of a positive equilibrium or a positive periodic solution are analyzed for non-autonomous generalizations of this equation, with both concentrated and distributed delays.

• 出版日期2013-1-1