In this article we consider the kth-order discrete delay survival red blood cells model. The general form of the discrete dynamical system is rewritten as Xn＋l = f（Pn,δn,xn,... ,xn＋1） where Pn,δn converge to the...In this article we consider the kth-order discrete delay survival red blood cells model. The general form of the discrete dynamical system is rewritten as Xn＋l = f（Pn,δn,xn,... ,xn＋1） where Pn,δn converge to the parametric values P and 6. We show that when the parameters are replaced by sequences, the stability results of the original system still hold.展开更多
In this paper, we deal with a model for the survival of red blood cells with periodic coefficients x＇（g）=-μ（t）x（t）＋P（t）e^-γ（t）x（t-τ（t））,t≥0.（＊）A new sufficient condition for global attractivity ...In this paper, we deal with a model for the survival of red blood cells with periodic coefficients x＇（g）=-μ（t）x（t）＋P（t）e^-γ（t）x（t-τ（t））,t≥0.（＊）A new sufficient condition for global attractivity of positive periodic solutions of Eq. （＊） is obtained. Our criterion improves corresponding result obtained by Li and Wang in 2005.展开更多
In this paper,we are concerned with a class of fractional-order Lasota-Wazewska red blood ccll modcls.By applying a fixed point theorem on a normal cone,we first obtain the sufficient conditions for the existence of a...In this paper,we are concerned with a class of fractional-order Lasota-Wazewska red blood ccll modcls.By applying a fixed point theorem on a normal cone,we first obtain the sufficient conditions for the existence of a unique almost periodic positive solution of the considered models.Then,considering that all of the red blood cells in animals survive in a finite-time interval,we study the finite-time stability of the almost periodic positive solution by using some inequality techniques.Our results and methods of this paper are new.Finally,we give numerical examples to show the feasibility of the obtained results.展开更多
文摘In this article we consider the kth-order discrete delay survival red blood cells model. The general form of the discrete dynamical system is rewritten as Xn＋l = f（Pn,δn,xn,... ,xn＋1） where Pn,δn converge to the parametric values P and 6. We show that when the parameters are replaced by sequences, the stability results of the original system still hold.
基金the National Natural Science Foundation of China(No.10271044)Research Fund of Hunan Provincial Education Department(No.06C719)
文摘In this paper, we deal with a model for the survival of red blood cells with periodic coefficients x＇（g）=-μ（t）x（t）＋P（t）e^-γ（t）x（t-τ（t））,t≥0.（＊）A new sufficient condition for global attractivity of positive periodic solutions of Eq. （＊） is obtained. Our criterion improves corresponding result obtained by Li and Wang in 2005.
基金the National Natural Sciences Foundation of People's Republic of China under Grants Nos.11861072 and 11361072the Applied Basic Research Programs of Science and Technology Department of Yunnan Province under Grant No.2019FBO03.
文摘In this paper,we are concerned with a class of fractional-order Lasota-Wazewska red blood ccll modcls.By applying a fixed point theorem on a normal cone,we first obtain the sufficient conditions for the existence of a unique almost periodic positive solution of the considered models.Then,considering that all of the red blood cells in animals survive in a finite-time interval,we study the finite-time stability of the almost periodic positive solution by using some inequality techniques.Our results and methods of this paper are new.Finally,we give numerical examples to show the feasibility of the obtained results.
