This paper considers an SEIS epidemic model with infectious force in the latent period and a general population-size dependent contact rate. A threshold parameter R is identified. If R≤1, the disease-free equilibrium...This paper considers an SEIS epidemic model with infectious force in the latent period and a general population-size dependent contact rate. A threshold parameter R is identified. If R≤1, the disease-free equilibrium O is globally stable. If R〉1, there is a unique endemic equilibrium and O is unstable. For two important special cases of bilinear and standard incidence ,sufficient conditions for the global stability of this endemic equilibrium are given. The same qualitative results are obtained provided the threshold is more than unity for the corresponding SEIS model with no infectious force in the latent period. Some existing results are extended and improved.展开更多
A systematic experimental research work is done for the stability of sunken large diameter cylinder during construction period. It is the first research that gives the method for assessing the stability of the larger ...A systematic experimental research work is done for the stability of sunken large diameter cylinder during construction period. It is the first research that gives the method for assessing the stability of the larger diameter cylindrical structure, a set of values is derived also for the critical stability indices of the large diameter cylinder sunken to the sandy seabed.展开更多
We study the qualitative property of solutions of planar periodic competing otka-Volterra systems New criteria of uniform persistence of solutins and existence, uniqueness and globally asymptotical stability of positi...We study the qualitative property of solutions of planar periodic competing otka-Volterra systems New criteria of uniform persistence of solutins and existence, uniqueness and globally asymptotical stability of positive periodic solution are established. The results results in [1 -6] are summarized and improved in this paper.展开更多
In this paper,we consider the periodic solution problems for the systems with unbounded delay,and the existence,uniqueness and stability of the periodic solution are dealt with unitedly.First we establish the suitable...In this paper,we consider the periodic solution problems for the systems with unbounded delay,and the existence,uniqueness and stability of the periodic solution are dealt with unitedly.First we establish the suitable delay-differential inequality,then study seperately the problems of periodic solution for the systems with bounded delay,with unbounded delay and the Volterra integral-dlfferentlal systems with infinite delay by using the character of matrix measure and the asymptotic fixed point theorem of poincaré’s periodic operator in the different phase spaces.A series of simple criteria for the existence,uniqueness and stability of these systems are obtained.展开更多
In this paper, variable linear feedback control is used to stabilize unstable higher period orbit in nonlinear discrete chaotic dynamical system. The existence of neighborhood in stabilizing higher period orbits is ri...In this paper, variable linear feedback control is used to stabilize unstable higher period orbit in nonlinear discrete chaotic dynamical system. The existence of neighborhood in stabilizing higher period orbits is rigorously proved by functional analysis theory and nonlinear dynamical theory. Numerical simulation is included to support the theoretical analysis in the paper.展开更多
The continuing emergence of sudden financial crises and the bankruptcy of Big banks audited by the‘Big Four’auditors confirms that the external audit quality(EAQ)always remains insufficient compared to the desired q...The continuing emergence of sudden financial crises and the bankruptcy of Big banks audited by the‘Big Four’auditors confirms that the external audit quality(EAQ)always remains insufficient compared to the desired quality.The quality weakness is due either to the bad audit company choice,although their sizes,or to the disrespect of the good audit rules.Because there is a lack of comparative studies in the framework of conventional and Islamic banks,this paper aims to compare the impact of EAQ on the financial performance(FP)of 180 conventional banks and 180 Islamic banks.FP and EAQ variables are collected from 56 countries over the period(2010-2020).To overcome the mystery of the best EAQ selection based on its impact on FP,this paper relied on the GLS estimator.Consequently,this paper concluded that the EAQ affected the conventional banks’FP,but it improved that of Islamic banks with a moderate impact.展开更多
In [1] and [2], the authors made a deep qualitative analysis of the equationwith the character of tangent detected phase and they mathematically provided atheoretical basis of why the phase looked loop has no look--lo...In [1] and [2], the authors made a deep qualitative analysis of the equationwith the character of tangent detected phase and they mathematically provided atheoretical basis of why the phase looked loop has no look--losing point. However,according to many practical experts, it is rather difficult to put such a phaselooked loop into practice, though it has fine properties. W. C. Lindsey [3] made a展开更多
For the operator D(t), we prove the inherence theorem, Theorem 2. Basing on it, we study the stability with respect to the hull for neutral functional differential equations with infinite delay. We prove that if perio...For the operator D(t), we prove the inherence theorem, Theorem 2. Basing on it, we study the stability with respect to the hull for neutral functional differential equations with infinite delay. We prove that if periodic Eq.(1) possesses the solution ξ(t) that is uniformly asymptotically stable with respect to then Eq.(1) has an mω-periodic solution p(t), for some integer m≥1. Furthermore, we prove that if the almost periodic Eq.(1) possesses the solution ξ(t) that is stable under disturbance from H+ (ξ,D,f), then Eq.(1) has an almost periodic solution.展开更多
文摘This paper considers an SEIS epidemic model with infectious force in the latent period and a general population-size dependent contact rate. A threshold parameter R is identified. If R≤1, the disease-free equilibrium O is globally stable. If R〉1, there is a unique endemic equilibrium and O is unstable. For two important special cases of bilinear and standard incidence ,sufficient conditions for the global stability of this endemic equilibrium are given. The same qualitative results are obtained provided the threshold is more than unity for the corresponding SEIS model with no infectious force in the latent period. Some existing results are extended and improved.
文摘A systematic experimental research work is done for the stability of sunken large diameter cylinder during construction period. It is the first research that gives the method for assessing the stability of the larger diameter cylindrical structure, a set of values is derived also for the critical stability indices of the large diameter cylinder sunken to the sandy seabed.
文摘We study the qualitative property of solutions of planar periodic competing otka-Volterra systems New criteria of uniform persistence of solutins and existence, uniqueness and globally asymptotical stability of positive periodic solution are established. The results results in [1 -6] are summarized and improved in this paper.
文摘In this paper,we consider the periodic solution problems for the systems with unbounded delay,and the existence,uniqueness and stability of the periodic solution are dealt with unitedly.First we establish the suitable delay-differential inequality,then study seperately the problems of periodic solution for the systems with bounded delay,with unbounded delay and the Volterra integral-dlfferentlal systems with infinite delay by using the character of matrix measure and the asymptotic fixed point theorem of poincaré’s periodic operator in the different phase spaces.A series of simple criteria for the existence,uniqueness and stability of these systems are obtained.
文摘In this paper, variable linear feedback control is used to stabilize unstable higher period orbit in nonlinear discrete chaotic dynamical system. The existence of neighborhood in stabilizing higher period orbits is rigorously proved by functional analysis theory and nonlinear dynamical theory. Numerical simulation is included to support the theoretical analysis in the paper.
文摘The continuing emergence of sudden financial crises and the bankruptcy of Big banks audited by the‘Big Four’auditors confirms that the external audit quality(EAQ)always remains insufficient compared to the desired quality.The quality weakness is due either to the bad audit company choice,although their sizes,or to the disrespect of the good audit rules.Because there is a lack of comparative studies in the framework of conventional and Islamic banks,this paper aims to compare the impact of EAQ on the financial performance(FP)of 180 conventional banks and 180 Islamic banks.FP and EAQ variables are collected from 56 countries over the period(2010-2020).To overcome the mystery of the best EAQ selection based on its impact on FP,this paper relied on the GLS estimator.Consequently,this paper concluded that the EAQ affected the conventional banks’FP,but it improved that of Islamic banks with a moderate impact.
文摘In [1] and [2], the authors made a deep qualitative analysis of the equationwith the character of tangent detected phase and they mathematically provided atheoretical basis of why the phase looked loop has no look--losing point. However,according to many practical experts, it is rather difficult to put such a phaselooked loop into practice, though it has fine properties. W. C. Lindsey [3] made a
文摘For the operator D(t), we prove the inherence theorem, Theorem 2. Basing on it, we study the stability with respect to the hull for neutral functional differential equations with infinite delay. We prove that if periodic Eq.(1) possesses the solution ξ(t) that is uniformly asymptotically stable with respect to then Eq.(1) has an mω-periodic solution p(t), for some integer m≥1. Furthermore, we prove that if the almost periodic Eq.(1) possesses the solution ξ(t) that is stable under disturbance from H+ (ξ,D,f), then Eq.(1) has an almost periodic solution.
