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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

Global stability of the plane wave solutions to the relativistic string equation with non-small perturbations: 《Science China Mathematics》2025年第2期339-378,共40页Jinhua Wang Changhua Wei; supported by National Natural Science Foundation of China(Grant Nos.12271450 and 11871408);supported by National Natural Science Foundation of China(Grant Nos.12071435 and 11871212);Zhejiang Provincial Outstanding Youth Science Foundation(Grant No.LR22A010004);the Fundamental Research Fund of Zhejiang Sci-Tech University。; This paper is concerned with the global stability of the plane wave solutions to the relativistic string equation with non-small perturbations.Under certain decay assumptions on the plane wave,we conclude that the per...; 关键词：relativistic string plane wave null condition large energy global existence

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

Global stability of a quasilinear predator-prey model with indirect pursuit-evasion interaction: 《International Journal of Biomathematics》2024年第8期147-174,共28页Chuanjia Wan Pan Zheng Wenhai Shan; supported by the National Natural Science Foundation of China(Grant Nos.11601053,12271064);the Science and Technology Research Project of Chongqing Municipal Education Commission(Grant No.KJZD-K202200602);the Natural Science Foundation of Chongqing(Grant No.CSTB2023NSCQ-MSX0099);the Hong Kong Scholars Program(Grant Nos.XJ2021042,2021-005)and the Young Hundred Talents Program of CQUPT in 2022-2024.; This paper deals with a predator-prey model with indirect prey-taxis and predator-taxis{u_(t)=■·(D_(1)(u)■u)-χ■·(S_(1)(u)■z)+u(αv-a_(1)-b_(1)u),x∈Ω,t>0,u_(t)=■·(D_(2)(v)■v)-ε■·(S_(1)(v)■w)+v(a_(2)-b_(...; 关键词：Predator-prey model QUASILINEAR global boundedness STABILIZATION

A Dynamical Study of Modeling the Transmission of Typhoid Fever throughDelayed Strategies: 《Computer Modeling in Engineering & Sciences》2024年第11期1419-1446,共28页Muhammad Tashfeen Fazal Dayan Muhammad Aziz Ur Rehman Thabet Abdeljawad Aiman Mukheimer; supported by Prince Sultan University through TAS research lab。; This study analyzes the transmission of typhoid fever caused by Salmonella typhi using a mathematical model thathighlights the significance of delay in its effectiveness.Time delays can affect the nature of patterns a...; 关键词：Typhoid virus delay epidemic model stability CONSISTENCY global stability

Qualitative Analysis of a Diffusive Predator-prey Model with Nonlcoal Fear Effect: 《数学理论与应用》2024年第3期67-82,共16页Shen Zhongyuan Zhang Xuebing Li Shunjie; supported by the National Natural Science Foundation of China (No.12271261);the National Undergraduate Training Program for Innovation and Entrepreneurship (No.202310300044Z)。; In this paper,we establish a delayed predator-prey model with nonlocal fear effect.Firstly,the existence,uniqueness,and persistence of solutions of the model are studied.Then,the local stability,Turing bifurcation,and...; 关键词：Delay Nonlocal fear effect Global stability Hopf bifurcation

Global dynamics of a periodic viral infection model incorporating diffusion and antiretroviral therapy: 《International Journal of Biomathematics》2024年第6期211-242,共32页Jinhu Xu; This work was supported by the National Natural Science Foundation of China(#11701445);the Natural Science Basic Research Program in Shaanxi Province of China(2022JM-042,2022JM-038,2022JQ-033,2020JQ-831,2022JQ-043).; A new viral infection model with cell-to-cell infection and periodic antiretroviral therapy was proposed and analyzed.With the help of defined basic reproduction number Ro,we proved that if R_(0)<1,then the infection-...; 关键词：Periodic antiretroviral therapy cell-to-cell infection persistence theory global asymptotic stability LYAPUNOV global stability

Global analysis of a network-based SIR epidemic model with a saturated treatment function: 《International Journal of Biomathematics》2024年第6期269-291,共23页Xiaodan Wei; The research was supported in part by the NNSFC(grant 12071058);the Applied Basic Research Program of Department of Science and Technology of Liaoning Province of China(grant 2023JH2/101300095).; In this paper,we study a network-based SIR epidemic model with a saturated treatment function in which a parameterαis introduced to measure the extent of the effect of the infected being delayed for treatment.Our aim...; 关键词：SIR epidemic model complex network saturated treatment function global stability global attractivity

Global stability coefficient of large underground caverns under static loading and earthquake wave condition: 《Journal of Central South University》2024年第8期2826-2843,共18页CHEN Peng-fei JIANG Quan LIU Jian LI Shao-jun CHEN Tao HE Ben-guo; Project(2023YFC2907204)supported by the National Key Research and Development Program of China;Project(52325905)supported by the National Natural Science Foundation of China;Project(DJ-HXGG-2023-16)supported by the Key Technology Research Projects of Power China。; Underground energy and resource development,deep underground energy storage and other projects involve the global stability of multiple interconnected cavern groups under internal and external dynamic disturbances.An ...; 关键词：underground caverns global stability coefficient static-dynamic overload local instability

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