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A Nonlinear Optimal Control Approach for Bacterial Infections Under Antibiotics Resistance: 《Journal of Systems Science & Complexity》2024年第6期2293-2317,共25页RIGATOS Gerasimos ABBASZADEH Masoud SIANO Pierluigi AL-NUMAY Mohammed ZOUARI Farouk; supported by the Unit of Industrial Automation;Industrial Systems Institute under Grant No.Ref.301022,Greece and RSP2024R150 of King Saud University,Riyadh,Saudi Arabia。; The overuse and misuse of antibiotics has become a major problem for public health.People become resistant to antibiotics and because of this the anticipated therapeutic effect is never reached.In-hospital infections ...; 关键词：Bacterial infection differential flatness properties global stability Jacobian matrices nonlinear H-infinity control resistance to antibiotics Riccati equation Taylor series expansion

On PID Control Theory for Nonaffine Uncertain Stochastic Systems被引量：3: 《Journal of Systems Science & Complexity》2023年第1期165-186,共22页ZHANG Jinke ZHAO Cheng GUO Lei; supported by the National Natural Science Foundation of China under Grant No.12288201.; PID(proportional-integral-derivative)control is recognized to be the most widely and successfully employed control strategy by far.However,there are limited theoretical investigations explaining the rationale why PID ...; 关键词：Asymptotically regulation global stability nonaffine PID control stochastic systems uncertain structure

Global Dynamics for an HIV Infection Model with Crowley-Martin Functional Response and Two Distributed Delays: 《Journal of Systems Science & Complexity》2018年第2期385-395,共11页LIU Yongqi WU Chunsong; supported partially by Scientific Research Staring Foundation,Henan Normal University(qd13045); In this paper, an HIV dynamics model with two distributed intracellular delays incorporating Crowley-Martin functional response infection rate is investigated. The authors take into account multiple stage disease tran...; 关键词：Crowley-Martin functional response distributed delays global stability analysis HIV model.

Uncoupled PID Control of Coupled Multi-Agent Nonlinear Uncertain Systems被引量：9: 《Journal of Systems Science & Complexity》2018年第1期4-21,共18页YUAN Shuo ZHAO Cheng GUO Lei; supported by the National Natural Science Foundation of China under Grant No.11688101; In this paper, PID（proportional-integral-derivative） controllers will be designed to solve the tracking problem for a class of coupled multi-agent systems, where each agent is described by a second-order high-dimens...; 关键词：Coupled multi-agent system global stability Lipschitz condition nonlinear uncertain dynamics PID controller

Global Stability for a Heroin Model with Age-Dependent Susceptibility被引量：6: 《Journal of Systems Science & Complexity》2015年第6期1243-1257,共15页FANG Bin LI Xuezhi MARTCHEVA Maia CAI Liming; supported partially by the National Natural Science Foundation of China under Grant Nos.11271314;11371305; This paper considers global asymptotic properties for an age-structured model of heroin use based on the principles of mathematical epidemiology where the incidence rate depends on the age of susceptible individuals. ...; 关键词：Age-structured basic reproduction number EQUILIBRIUM global stability heroin model

GLOBAL STABILITY OF AN AGE-STRUCTURED SIR EPIDEMIC MODEL WITH PULSE VACCINATION STRATEGY被引量：2: 《Journal of Systems Science & Complexity》2012年第3期417-429,共13页Helong LIU Jingyuan YU Guangtian ZHU; supported by Natural Science Foundation of Henan Province under Grant No.092300410206;Science and Technology Program of Educational Department of Henan Province under Grant No. 2009A110015; This paper discusses the application of a pulse vaccination strategy to prevent and control some infectious diseases, which is described by age-structured SIR model in which susceptible and recovered individuals are s...; 关键词：Impulsive differential equations impulsive period infection age infection-free situation optimal vaccination strategy.

GLOBAL STABILITY OF ENDEMIC EQUILIBRIUM POINT OF BASIC VIRUS INFECTION MODEL WITH APPLICATION TO HBV INFECTION被引量：4: 《Journal of Systems Science & Complexity》2010年第6期1221-1230,共10页Yu ZHENG Lequan MIN Yu JI Yongmei SU Yang KUANG; This research is supported by the National Natural Science Foundations of China under Grant No. 60674059, the 11th 5-Year Plan Key Research Project of China under Grant No. 2004BA721A03, the China National Key Special Project for the Preventions and Cures of Important Infectious Diseases under Grant No. 2008ZX10005- 006.; In this paper, the authors first show that if Ro ≤1, the infection free steady state is globally attractive by using approaches different from those given by Min, et a1.（2008）. Then the authors prove that if Ro 〉 ...; 关键词：Basic infection reproduction number clinical data simulation equilibrium point global stability HBV infection.

GLOBAL STABILITY OF AN EPIDEMIC MODEL FOR VECTOR-BORNE DISEASE: 《Journal of Systems Science & Complexity》2010年第2期279-292,共14页Hongzhi YANG Huiming WEI Xuezhi LI; supported by the Natural Science Foundation of China under Grant Nos.10371105 and 10671166;the Natural Science Foundation of Henan Province under Grant No.0312002000; This paper considers an epidemic model of a vector-borne disease which has the vectormediated transmission only. The incidence term is of the bilinear mass-action form. It is shown that the global dynamics is complete...; 关键词：Basic reproduction number endemic equilibrium epidemic model global stability vectorborne disease.

THE GLOBAL STABILITY OF A COMPETING CHEMOSTAT MODEL WITH DELAYED NUTRIENT RECYCLING被引量：1: 《Journal of Systems Science & Complexity》2005年第1期19-26,共8页JIANGLiqiang MAZhien P.Fergola; This research is supported by Doctor Fundof Zhengzhou Antiaircraft Academy.; In this paper, by applying the method of Liapunov functionals we study the global stability of the positive equilibrium of a competing chemostat model with delayed nutrient recycling. The sufficient conditions of the ...; 关键词：CHEMOSTAT distributed time delay positive equilibrium global stability

STUDY ON AN SIS EPIDEMIC MODEL WITH TIME VARIANT DELAY被引量：4: 《Journal of Systems Science & Complexity》2002年第3期299-306,共8页YUAN Sanling MA Zhien (Department of Applied Mathematics, Xi ’an Jiaotong University, Xi ’an 710049, China]; This research is supported by the National Natural Science Foundation of China(19971066) ; the Youth Science Foundation of Shannxi Province(20021003).; In this paper,we study an SIS epidemic model with a time variant delay.By means of Liapunov functional,some sufficient conditions of global stability to endemic equilibrium and disease free equilibrium have been obtai...; 关键词：Epidemic model time delay Lipunov functional global stability.

GLOBAL_STABILITY