On the Stability Crossing Boundaries of Some Delay Systems Modeling Immune Dynamics in Leukemia
نویسندگان
چکیده
This paper focuses on the characterization of delay effects on the asymptotic stability of some continuoustime delay systems encountered in modeling the posttransplantation dynamics of the immune response to chronic myelogenous leukemia. More explicitly, we shall discuss the stability of the crossing boundaries of the corresponding linearized models in the delay-parameter space. Weak, and strong cell interactions are discussed, and analytic characterizations are proposed. An illustrative example completes the presentation. Keywords— Delay; asymptotic stability; switch; reversal; crossing curves; quasipolynomial.
منابع مشابه
Stability Crossing Boundaries of Delay Systems Modeling Immune Dynamics in Leukemia
This paper focuses on the characterization of delay effects on the asymptotic stability of some continuous-time delay systems encountered in modeling the post-transplantation dynamics of the immune response to chronic myelogenous leukemia. Such models include multiple delays in some large range, from one minute to several days. The main objective of the paper is to study the stability of the cr...
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