GLOBAL_STABILITY

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  • 期刊=Acta Mathematicae Applicatae Sinicax
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Adapted Runge-Kutta Methods for Nonlinear First-Order Delay BVPs with Time-variable Delay
《Acta Mathematicae Applicatae Sinica》2025年第2期400-413,共14页Cheng-jian ZHANG Yang WANG Hao HAN 
supported by the National Natural Science Foundation of China(Grant No.12471379).
This paper deals with numerical solutions for nonlinear first-order boundary value problems(BVPs)with time-variable delay.For solving this kind of delay BVPs,by combining Runge-Kutta methods with Lagrange interpolatio...
关键词：delay boundary value problems adapted Runge-Kutta method Lagrange interpolation error analysis global stability 
Global Dynamics of a Kawasaki Disease Vascular Endothelial Cell Injury Model with Backward Bifurcation and Hopf Bifurcation
《Acta Mathematicae Applicatae Sinica》2025年第1期200-233,共34页Ke GUO Wan-biao MA 
supported by the National Natural Science Foundation of China(12201038);the Project funded by China Postdoctoral Science Foundation(2022TQ0026);the Fundamental Research Funds for the Central Universities(FRF-TP-22-102A1);the Beijing Natural Science Foundation(1202019).
Kawasaki disease(KD)is an acute,febrile,systemic vasculitis that mainly affects children under five years of age.In this paper,we propose and study a class of 5-dimensional ordinary differential equation model describ...
关键词：Kawasaki disease model backward bifurcation Hopf bifurcation global stability PERMANENCE 
Mathematical Analysis on a General Delayed HBV Model with Capsids and Two Infection Routes
《Acta Mathematicae Applicatae Sinica》2024年第2期508-525,共18页Li-li LIU Hong-gang WANG Ya-zhi LI 
Supported by the Natural Science Foundation of Shanxi Province(202303021211003);the National Natural Science Foundation of China(12126349,11601293,12361102);the Scientific Plan of Guizhou Province(No.Qian Ke He Jichu-ZK[2021]YiBan002).
Considering that HBV belongs to the DNA virus family and is hepatotropic,we model the HBV DNA-containing capsids as a compartment.In this paper,a delayed HBV infection model is established,where the general incidence ...
关键词：delayed HBV model CAPSIDS general incidence function two infection routes global stability 
Global Stability of a Time-delayed Malaria Model with Standard Incidence Rate被引量：1
《Acta Mathematicae Applicatae Sinica》2023年第2期211-221,共11页Song-bai GUO Min HE Jing-an CUI 
supported in part by the National Natural Science Foundation of China (Nos.11901027,11871093 and 12171003);the China Postdoctoral Science Foundation (No.2021M703426);the Pyramid Talent Training Project of BUCEA (No.JDYC20200327);the BUCEA Post Graduate Innovation Project (No.PG2022143)。
A four-dimensional delay differential equations(DDEs)model of malaria with standard incidence rate is proposed.By utilizing the limiting system of the model and Lyapunov direct method,the global stability of equilibri...
关键词：malaria model delay differential equations Lyapunov functional weak persistence global stability 
Erratum to:Global Stability of a Mumps Transmission Model with Quarantine Measure
《Acta Mathematicae Applicatae Sinica》2022年第3期740-740,共1页Yu-zhen BAI Xiao-jing WANG Song-bai GUO 
Global Stability of a Mumps Transmission Model with Quarantine Measure被引量：3
《Acta Mathematicae Applicatae Sinica》2021年第4期665-672,共8页Yu-zhen BAI Xiao-jing WANG Song-bai GUO 
This work is supported in part by the National Natural Science Foundation of China(Nos.11901027 and 11871093);the Scientific Research Project of Beijing Municipal Education Commission(No.KM201910016001);the Pyramid Talent Training Project of BUCEA(JDYC20200327);the Bill&Melinda Gates Foundation(INV-005834);the Fundamental Research Funds for Beijing Universities(X20083).
In this paper,a model of mumps transmission with quarantine measure is proposed and then the control reproduction number Rc of the model is obtained.This model admits a unique endemic equilibrium P*if and only if Rc>1...
关键词：mumps transmission model control reproduction number quarantine measure global stability 
A Single Species Model with Impulsive Diffusion被引量：6
《Acta Mathematicae Applicatae Sinica》2005年第1期43-48,共6页JingHui Lan-sunChen 
Supported by the National Natural Science Foundation of China (No.10171106)
In most models of population dynamics, diffusion between patches is assumedto be continuous or discrete, but in practice many species diffuse only during a single period. Inthis paper we propose a single species model...
关键词：impulsive diffusion stroboscopic map BOUNDEDNESS monotone concave map positive fixed point global stability 
Persistence and Periodic Solution on a Nonautonomous SIS Model with Delays被引量：5
《Acta Mathematicae Applicatae Sinica》2003年第1期167-176,共10页San-ling Zhi-enMa ZhenJin 
Partially supported by the National Nature Science Foundation of China (No.19971066);the Youth Sciences Foundation of Shanxi Province (No.20021003).
An SIS model with periodic maximum infectious force, recruitment rate and the removal rate of the infectives has been investigated in this article. Sufficient conditions for the permanence and extinction of the diseas...
关键词：time delay Liapunov functional PERSISTENCE periodic solution global stability 
MULTIPLE LIMIT CYCLES AND GLOBAL STABILITY IN PREDATOR-PREY MODEL被引量：3
《Acta Mathematicae Applicatae Sinica》1999年第2期206-219,共14页王育全 井竹君 陈启元 
A predator-prey system is investigated for the global stability and existences of limit cycleand at least two limit cycles by using qualitative analysis and the idea of Poincare'-BendixsonTheoy.
关键词：Predater-pery system global stability existence of one or two limit cycles 
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