Article
Engineering, Civil
Zijun Zhang, Han Zhang, Wanzhong Zhao
Summary: By establishing vehicle dynamic model and driver NMS model, a human-vehicle game stability control strategy based on Nash negotiation principle is proposed to effectively solve the game problem and achieve good vehicular stability control performance.
IEEE TRANSACTIONS ON INTELLIGENT TRANSPORTATION SYSTEMS
(2021)
Article
Mathematics
Xin Jiang
Summary: This paper studies the global dynamics of a cholera model incorporating age structures and general infection rates. Theoretical analysis results are well confirmed by numerical simulations. The research provides deeper insights into the dynamics of cholera propagation.
Article
Materials Science, Multidisciplinary
Baba Seidu, Eric N. Wiah, Joshua Kiddy K. Asamoah
Summary: This study presents a nonlinear deterministic model to investigate the dynamics of cholera in different populations based on their personal hygiene levels. The model identifies two stable points, representing cholera-free and cholera-persistent states, indicating the presence of forward bifurcation. The study also reveals that parameters such as the immigration rate, rate of disinfection, bacteria ingestion rate, and bacterial shedding rate have a significant impact on cholera spread. Optimal control analysis is used to determine the most cost-effective combination of infection control measures for controlling the spread of cholera.
RESULTS IN PHYSICS
(2023)
Article
Mathematics, Applied
Xiaodan Chen, Renhao Cui
Summary: This paper focuses on a diffusive cholera epidemic model with a nonlinear incidence rate. By constructing suitable Lyapunov functionals, the global stability of the disease free equilibrium and the endemic equilibrium are investigated.
APPLIED MATHEMATICS LETTERS
(2021)
Article
Mathematics, Applied
Chenwei Song, Rui Xu
Summary: This note investigates a multi-strain cholera model with an imperfect vaccine. The existence and uniqueness of the endemic equilibrium of the model are proven. Additionally, by constructing a suitable Lyapunov function and applying LaSalle's invariance principle, it is shown that the endemic equilibrium of the model is globally asymptotically stable in a special case. This partially confirms a conjecture proposed by Safi et al. (2013).
APPLIED MATHEMATICS LETTERS
(2022)
Article
Mathematics, Applied
Jingnan Wang, Yanqiao Zhang
Summary: This paper establishes two immunotherapy antitumor models using the methods of killing tumors and impulsive differential equations, and analyzes the global stability conditions under immunotherapy and the influence of impulsive perturbation on the inherent oscillation of tumors. It also studies the effects of combining radiotherapy with immunotherapy on antitumor, including the threshold value of stability conditions in the mixed combination treatment.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2022)
Article
Engineering, Electrical & Electronic
Yafei Liu, Ronghui Liu, Chongfeng Wei, Jing Xun, Tao Tang
Summary: Virtual Coupling (VC) is a breakthrough in train operation and control, allowing trains to operate closer to each other. However, the lack of rigid couplers leads to unstable spacing between trains. To solve the high-speed VC control problem, this paper presents a distributed model predictive control approach that minimizes interference and maintains safe spacing.
IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY
(2022)
Article
Mathematics, Interdisciplinary Applications
Sandeep Sharma, Fateh Singh
Summary: This paper presents a new deterministic cholera model with vaccination and treatment as control measures, analyzing the stability and equilibrium points through numerical simulations and theoretical analysis.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Automation & Control Systems
Jin-Xi Zhang, Tianyou Chai
Summary: This article focuses on the global prescribed performance tracking control problem for strict-feedback systems with quantized references, unknown nonlinearities, and unmatched disturbances. A novel smoothing function is designed to generate smooth trajectories online instead of using quantized references. The tangent barrier functions are combined with a new form of performance functions to form a control, which exhibits strong robustness against model uncertainties and disturbances.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Mathematics
Xueyong Zhou
Summary: This paper establishes and investigates a stochastic infectious disease model for cholera. The dynamics of the model are discussed and the existence and uniqueness of the positive solution, as well as the asymptotic stability of the disease-free equilibrium and endemic equilibrium, are proven. The theoretical results are verified through numerical simulations, and the optimal control problem is considered as the theoretical basis for cholera control. The results indicate that random perturbations can make the model more realistic and provide theoretical assessment for cholera transmission control.
Article
Engineering, Marine
Guangdong Han, Jian Li, Yizong Chen, Shenghai Wang, Haiquan Chen
Summary: In this article, a C-DCR method is proposed to improve the efficiency and safety of ship cargo-hold cleaning, replacing manual operations and reducing risks. The dynamic model is established considering ship motion and external disturbance, and a modified PD feedforward tracking controller is proposed for high-speed maneuverability. Simulation results show stable and accurate tracking performance of the C-DCR.
JOURNAL OF MARINE SCIENCE AND ENGINEERING
(2023)
Article
Engineering, Electrical & Electronic
Jinghan Li, Jun Zhao
Summary: This paper investigates bumpless transfer control for a certain type of switched linear systems. A hierarchical switching strategy is proposed to address the bumpless transfer control problem. The key idea is to design two controllers for each subsystem, as the conventional design with a single controller often fails to achieve stability and satisfactory bumpless transfer performance simultaneously. The upper level switching determines the active subsystem, while the lower level switching selects which controller among the two controllers of the active subsystem to be activated. The dual design of switching and controllers ensures asymptotic stability and satisfactory bumpless transfer performance for the closed-loop switched system. Numerical examples are provided to demonstrate the effectiveness of the proposed methods.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2023)
Article
Public, Environmental & Occupational Health
Julien Graveleau, Maria Eleanor Reserva, Alama Keita, Roberto Molinari, Guillaume Constantin De Magny
Summary: The study indicates that in areas with high cholera prevalence, full access to improved water sources and sanitation facilities can significantly reduce the risk of cholera transmission, while partial coverage only has a limited impact.
FRONTIERS IN PUBLIC HEALTH
(2021)
Article
Mathematics, Interdisciplinary Applications
Tchule Nguiwa, Gabriel Guilsou Kolaye, Mibaile Justin, Djaouda Moussa, Gambo Betchewe, Alidou Mohamadou
Summary: The study investigates a mathematical fractional-order cholera model, deriving the basic reproduction number and stability conditions of equilibrium points, emphasizing the importance of vaccination in controlling the spread of cholera.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Automation & Control Systems
Li Ding, Ping Hu, Zhi-Hong Guan, Tao Li
Summary: In order to combat malicious rumors on online social networks, a hybrid control strategy combining continuous truth spreading and impulsive rumor blocking methods is proposed. The stability of the rumor-truth propagation system is analyzed, along with conditions for maintaining stability and for persistent rumor spread. Additionally, an optimal control problem is formulated to balance between restraining rumors and minimizing control costs, with necessary conditions and the structure of optimal control obtained. Numerical simulations are conducted to illustrate theoretical results and assess the effectiveness of the hybrid control strategy.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2021)
Article
Biology
C. M. Saad-Roy, Zhisheng Shuai, P. van den Driessche
BULLETIN OF MATHEMATICAL BIOLOGY
(2015)
Correction
Biology
Zhisheng Shuai, J. A. P. Heesterbeek, P. van den Driessche
JOURNAL OF MATHEMATICAL BIOLOGY
(2015)
Article
Biology
Sanling Yuan, P. van den Driessche, Frederick H. Willeboordse, Zhisheng Shuai, Junling Ma
JOURNAL OF MATHEMATICAL BIOLOGY
(2016)
Article
Biology
C. M. Saad-Roy, Zhisheng Shuai, P. van den Driessche
MATHEMATICAL BIOSCIENCES
(2016)
Article
Biology
Joseph H. Tien, Zhisheng Shuai, Marisa C. Eisenberg, P. van den Driessche
JOURNAL OF MATHEMATICAL BIOLOGY
(2015)
Article
Mathematics, Applied
J. W. Moon, Zhisheng Shuai, P. van den Driessche
LINEAR ALGEBRA AND ITS APPLICATIONS
(2014)
Article
Ecology
Zhisheng Shuai, P. van den Driessche
JOURNAL OF BIOLOGICAL DYNAMICS
(2015)
Article
Biology
Mark A. Lewis, Zhisheng Shuai, P. van den Driessche
JOURNAL OF MATHEMATICAL BIOLOGY
(2019)
Article
Biology
Shanshan Chen, Junping Shi, Zhisheng Shuai, Yixiang Wu
JOURNAL OF MATHEMATICAL BIOLOGY
(2020)
Article
Mathematics, Applied
Shanshan Chen, Junping Shi, Zhisheng Shuai, Yixiang Wu
Summary: This study investigates the global dynamics of the two-species Lotka-Volterra competition patch model with asymmetric dispersal. The results show that the outcome of the competition depends on the strength of the inter-specific competition and the dispersal rates, leading to either the extinction of one species or the coexistence of the two species.
Article
Mathematics, Applied
Shanshan Chen, Junping Shi, Zhisheng Shuai, Yixiang Wu
Summary: Threshold values play a crucial role in population dynamics and have been extensively studied in this paper. The authors provide two new proofs by investigating the issue of persistence. The monotonicity result has significant applications in analyzing the stability and persistence of complex biological systems.
SIAM JOURNAL ON APPLIED MATHEMATICS
(2022)
Article
Mathematics, Applied
Shanshan Chen, Junping Shi, Zhisheng Shuai, Yixiang Wu
Summary: In this study, we examine a competition model involving two species in a fragmented and advective environment. Both species experience directed drift and undirected random dispersal between patches, with individuals being lost in the downstream end. The two species have the same growth rates but different advection and random dispersal rates. We focus on analyzing the properties of an associated eigenvalue problem that characterizes the extinction or persistence dynamics of the patch population model, and we determine conditions for the invasion or non-invasion of a mutant species in the resident species.
JOURNAL OF NONLINEAR SCIENCE
(2023)
Article
Mathematics, Applied
Stephen Kirkland, Zhisheng Shuai, P. van den Driessche, Xueying Wang
Summary: The study focuses on the invasibility of infectious diseases in a heterogeneous environment modeled as a network, by quantifying the value of the basic reproduction number R-0 and analyzing how changes in network structure affect its value. Detailed analysis on two model networks, a star and a path, was conducted to observe the changes in network structure that lead to the largest decrease in R-0. Combinatorial and matrix analytic techniques were developed and theoretical results were illustrated through simulations.
SIAM JOURNAL ON APPLIED MATHEMATICS
(2021)
Article
Mathematical & Computational Biology
Christopher Botelho, Jude Dzevela Kong, Mentor Ali Ber Lucien, Zhisheng Shuai, Hao Wang
Summary: A cholera model incorporating bacteria and phage interaction has been formulated, revealing the existence of three equilibria. Threshold parameters have been derived to characterize the stability of these equilibria, and sensitivity analysis and disease control strategies have been employed to assess the impact of bacteria-phage interaction on cholera dynamics.
MATHEMATICAL BIOSCIENCES AND ENGINEERING
(2021)
Proceedings Paper
Mathematics, Applied
R. N. Mohapatra, Donald Porchia, Zhisheng Shuai
MATHEMATICAL ANALYSIS AND ITS APPLICATIONS
(2015)
