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Stability of Hahnfeldt Angiogenesis Models with Time Lags
(Elsevier, 2011-12-16)
To enrich the dynamics of three models, we introduced biologically motivated time-varying delays. All models under study belong to a special class of nonlinear nonautonomous delay differential systems with non-Lipschitz ...
Periodic Solutions of Angiogenesis Models with Time Lags
(Elsevier, 2012-01)
To enrich the dynamics of mathematical models of angiogenesis, all mechanisms involved are time-dependent. We also assume that the tumor cells enter the mechanisms of angiogenic stimulation and inhibition with some delays. ...
On the global dynamic behaviour for a generalized haematopoiesis model with almost periodic coefficients and oscillating circulation loss rate
(John Wiley & Sons Ltd, 2018-07)
A generalized non-linear nonautonomous model for the haematopoiesis (cell production) with several delays and an oscillating circulation loss rate is studied. We prove a fixed point theorem in abstract cones, from which ...
Existence and multiplicity of periodic solutions for a generalized hematopoiesis model
(Springer Verlag Berlín, 2017-10)
A generalization of the nonautonomous Mackey–Glass equation for the regulation of the hematopoiesis with several non-constant delays is studied. Using topological degree methods we prove, under appropriate conditions, the ...
Existence of periodic solutions in the modified Wheldon model of CML
(Texas State University. Department of Mathematics, 2013-10)
The Wheldon model (1975) of a chronic myelogenous leukemia (CML) dynamics is modified and enriched by introduction of a time-varying microenvironment and time-dependent drug efficacies. The resulting model is a special ...
Existence Of Solutions For A Class Of Navier–stokes Equations With Infinite Delay
(Taylor and Francis Ltd., 2015)