Article
Mathematics, Applied
Yi Wang, Junling Ma, Jinde Cao
Summary: The basic reproduction number R-0 is an important indicator of the severity of an epidemic outbreak. Assortative and disassortative mixing have different effects on virus transmission, and the results in degree correlated networks may not be universal but hold true for bimodal degree distribution and assortative mixing networks.
PHYSICA D-NONLINEAR PHENOMENA
(2022)
Article
Biology
Brandon Lieberthal, Aiman Soliman, Shaowen Wang, Sandra De Urioste-Stone, Allison M. Gardner
Summary: Predicting and preparing for disease epidemics requires understanding the impact of environmental and socioeconomic factors on transmission rates. This article discusses the simulation of epidemic outbreaks in human metapopulation networks and highlights the importance of community structure in determining disease spread. The study shows that network modularity, community structure, and human diffusion rate are all interconnected and can be influenced by strategies such as movement restrictions and vaccination. The effectiveness of these strategies depends on the network structure and disease properties. Guidance on balancing accuracy and data collection costs is also provided.
MATHEMATICAL BIOSCIENCES
(2023)
Article
Physics, Multidisciplinary
Satoru Morita
Summary: This study focuses on the spread of disease and information in social and information networks, emphasizing the importance of understanding degree distribution and degree correlation in the spread phenomena. By introducing a simple method to incorporate degree correlation, the theoretical formulas for outbreak threshold and basic reproduction number are presented, clarifying the theoretical effect of degree correlation.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2021)
Article
Mathematics, Interdisciplinary Applications
Yassine Chakir
Summary: This paper presents a global semi-analytical method based on two-point Pade approximants for solving the SIR epidemic model of childhood diseases. The method provides an explicit analytical solution over the entire time period, including the peak time, which is crucial for understanding disease spread. The efficiency of the method is demonstrated by comparing the results with classical Pade approximations and the numerical Runge-Kutta-Fehlberg method.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Computer Science, Interdisciplinary Applications
Yongqiang Zhang, Shuang Li, Xiaotian Li, Jinlong Ma
Summary: Traffic flow has a significant impact on the transmission and distribution of pathogens, especially in the context of global economic integration. This study adds new parameters to the traffic-driven Susceptible-Infected-Recovered (SIR) epidemic spread model to accurately represent the time characteristics of traffic-driven epidemic spread. By using a linear regression method on epidemic data in Hebei Province, the infection rate parameter is estimated, and an improved traffic-driven SIR epidemic spread dynamics model is established. The study investigates the effects of different link-closure rules, traffic flow, and network average degree on epidemic spread, finding that closing links between small-degree nodes is more effective in inhibiting the spread and reducing traffic flow and increasing network average degree can slow down the outbreak. The findings provide a practical scientific basis for traffic control measures during epidemic outbreaks.
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
(2023)
Article
Computer Science, Artificial Intelligence
Ilias N. Lymperopoulos
Summary: Neuro-SIR is an innovative neurodynamical model that can simulate the dynamic evolution of population susceptibility to diseases and the impact of different factors on the speed and scale of disease transmission. Simulation experiments demonstrate the effectiveness of the #stayhome strategy in controlling the spread of Covid-19, aligning well with classical epidemiological theory.
EXPERT SYSTEMS WITH APPLICATIONS
(2021)
Article
Mathematical & Computational Biology
Fahima Ouicher, Tewfik Kernane
Summary: This paper proposes two new approximations to calculate the joint quasi-stationary distribution (QSD) of susceptible and infected individuals in the SIR stochastic epidemic model, and derives the marginal QSD of infected individuals. These approximations depend on the basic reproduction number R-0 and assign a positive probability to all transient states in the QSD. Numerical comparisons are conducted to assess the accuracy of these approximations.
INTERNATIONAL JOURNAL OF BIOMATHEMATICS
(2022)
Article
Mathematics, Interdisciplinary Applications
Na Liu, Jie Fang, Junwei Sun, Sanyi Li
Summary: In this paper, a fractional-order SIR epidemic model is proposed on a two-layer weighted network, and the stability of the model is investigated. It is concluded that there is no endemic equilibrium, and a targeted immunity control based on age structure is proposed.
FRACTAL AND FRACTIONAL
(2022)
Article
Mathematics, Interdisciplinary Applications
M. L. Bertotti, G. Modanese
Summary: The presence of diagonal assortative degree correlation will significantly lower the epidemic threshold of large scale-free networks. By constructing correlation matrices and studying acceptable transformations, the epidemic diffusion and threshold can be affected.
Article
Mathematics
Mohammad Mehdizadeh Khalsaraei, Ali Shokri, Higinio Ramos, Shao-Wen Yao, Maryam Molayi
Summary: This article proposes two non-standard predictor-corrector type finite difference methods for a SIR epidemic model, with useful and significant features. The methods are compared with classical methods and stability analysis is conducted, along with numerical simulations.
Review
Mathematics
Florin Avram, Rim Adenane, David I. Ketcheson
Summary: Many mathematical epidemiological models, especially those used in COVID-19 research, can be divided into three groups: susceptible/entrance, diseased, and output. These models have linear ODE dynamics and simple formulas for reproduction number R and first integral. SIR-PH models offer approximate control policies with a probabilistic interpretation.
Article
Mathematics, Applied
Yassine Sabbar, Anwar Zeb, Nadia Gul, Driss Kiouach, S. P. Rajasekar, Nasim Ullah, Alsharef Mohammad
Summary: This paper investigates the long-term behavior of illness systems with Levy motion, specifically focusing on a general framework that includes correlated Levy noises. By treating a novel correlated stochastic SIRE system and implementing Rosinski's algorithm for tempered stable distributions, the study demonstrates the ergodic characteristics and the strong effect of tempered tails on the system's long-term dynamics.
Article
Mathematics
Jorge Calero-Sanz
Summary: Haros graphs are a representation of real numbers in the unit interval using graph theory. The degree distribution of Haros graphs provides information about the topological structure and the associated real number. This article presents a comprehensive demonstration of a conjecture concerning the analytical formulation of the degree distribution. A theorem establishes the relationship between Haros graphs, the continued fraction of the associated real number, and symbolic paths in the Farey binary tree. Additionally, an expression for the degree distribution of Haros graphs can be derived from an additional conclusion that is continuous and piecewise linear in subintervals defined by Farey fractions.
Article
Automation & Control Systems
Nguyen Du, Alexandru Hening, Nhu Nguyen, George Yin
Summary: This paper focuses on realistic hybrid SIR models that consider stochasticity. The proposed systems are applicable to various incidence rates used in the literature. The study analyzes a system of stochastic differential equations that include hidden state individuals and investigates the long-term behavior of the disease based on a threshold A.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2023)
Article
Automation & Control Systems
Bo Li, Zohreh Eskandari
Summary: This paper investigates a discrete-time seasonally forced SIR epidemic model for different types of bifurcations. The existence of different types of bifurcations in the model is proven analytically and numerically. The study includes one and two parameters bifurcations, as well as flip, Neimark-Sacker, and strong resonances bifurcations. The obtained results are verified through graphical representations.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Mathematical & Computational Biology
Haitao Song, Zhen Jin, Chunhua Shan, Lili Chang
Summary: This study investigates the mechanics and control strategies of influenza transmission based on Fog-Haze weather. By establishing a Fog-Haze dynamics model and an influenza virus transmission model, the global dynamics of the system are determined. Theoretical results are validated through simulations, providing further understanding of the relationship between Fog-Haze and influenza transmission.
INTERNATIONAL JOURNAL OF BIOMATHEMATICS
(2023)
Article
Engineering, Mechanical
Haitao Song, Zepeng Yuan, Shengqiang Liu, Zhen Jin, Guiquan Sun
Summary: The rapid global spread of COVID-19 has caused massive deaths and economic devastation. Antibody-dependent enhancement (ADE) is a common phenomenon that affects the effectiveness of vaccines. To study the potential role of ADE in SARS-CoV-2 infection, a dynamic model with ADE was established. The results show that ADE may accelerate SARS-CoV-2 infection and increasing antibody titers can help control it, while enhancing antibody neutralizing power may be ineffective. This study contributes to a better understanding of the dynamics of SARS-CoV-2 infection with ADE.
NONLINEAR DYNAMICS
(2023)
Article
Computer Science, Artificial Intelligence
Yanfeng Xue, Zhen Jin, Abeo Timothy Apasiba
Summary: This article introduces a novel message passing neural network based on neighborhood expansion for disassortative network representation learning. By finding informative nodes in the neighborhood and performing data augmentation, the model improves the optimization efficiency of disassortative networks and demonstrates good performance in experiments.
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS
(2023)
Article
Mathematics
Wei Gou, Zhen Jin, Hao Wang
Summary: This paper presents a rigorous procedure for calculating the normal form associated with the Hopf bifurcation of network-organized reaction-diffusion systems, and demonstrates its potential applications.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2023)
Article
Mathematics, Interdisciplinary Applications
Junyuan Yang, Li Yang, Zhen Jin
Summary: Influenza, a highly contagious respiratory disease caused by human influenza viruses, leads to millions of cases worldwide. Vaccination and antiviral treatment are the main biomedical interventions for controlling influenza spread. Using an age-structured SVIR influenza model, this paper examines the effectiveness of vaccination and antiviral treatment. The stability of the disease-free equilibrium is analyzed, and the existence of the endemic equilibrium is established. The optimal control problem considers the availability of medical resources to determine cost-effective interventions for optimal policy selection.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Applied
Jinxian Li, Hairong Yan, Zhen Jin
Summary: This paper models the spread of an SIR-epidemic with infection age in a heterogeneous complex network and obtains the basic reproduction number. The accuracy of the main results is confirmed in simulations. The impact of infection age on the spread of the disease is focused on and it is shown that the recovery time distribution has a significant effect on the disease dynamics.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Engineering, Electrical & Electronic
Yang Chao, Zhen Jin, Ai-Jing Wang, De-Cai Wang, Yi-Fan Xiao, Jie Li, Shao-Hua Chen, Shan-Yong Song, Jie Ma, Yi Ding
Summary: In this study, Mn-doped copper (II) oxide (CuO) nanoflower spheres (CuO-1% Mn nanoflower spheres) were synthesized via a simple low-temperature hydrothermal method. The synthesized sample was characterized using various techniques, including XRD, SEM, TEM, EDS, XPS, Raman, and BET analysis. The results showed that the nanoflower spheres comprised of nanosheets with diameters ranging from 5-10 µm. Additionally, Mn ions were uniformly doped into the CuO nanoflower spheres, resulting in a surface area of 33.079 m(2)/g for CuO-1% Mn nanoflower spheres. At an optimized temperature of 235 degrees C and with 1% Mn doping, the CuO-1% Mn nanoflower spheres exhibited the highest sensitivity towards isopropanol, with a response almost 11.5 times higher than pure CuO. The doped sample also demonstrated excellent selectivity, repeatability, and durability. It is believed that the improved sensing properties are attributed to the doping of Mn ions, which introduced more defects and spillover effect, leading to the generation of more oxygen anions and oxidation of isopropanol molecules on the surface of CuO-1% Mn nanoflower spheres. This product shows great potential for the detection of isopropanol.
IEEE SENSORS JOURNAL
(2023)
Article
Materials Science, Multidisciplinary
Yang Chao, Huan Zhang, Jie Li, Ai-Jing Wang, De-Cai Wang, Zhen Jin
Summary: In this study, hierarchical CuO hollow microspheres were synthesized using a simple hydrothermal method. The synthesized samples were characterized using X-ray diffraction, scanning electron microscopy, and transmission electron microscopy. The results showed that the hierarchical CuO hollow microspheres, composed of primary nanorods with diameters of about 20 nm, self-assembled into uniform spheres with a diameter of 3 μm. The hollow microspheres had a wall thickness of about 200 nm. The hierarchical CuO hollow microspheres exhibited excellent sensing performance in H2S and ethanol detection, with high selectivity and low detection limit.
ECS JOURNAL OF SOLID STATE SCIENCE AND TECHNOLOGY
(2023)
Article
Engineering, Chemical
Zhen Jin, De-Cai Wang, Wen-Jie Xie, Yi Ding, Jie Li
Summary: Ultrafine Pd nanoparticles-decorated porous ZnO nanosheets (UPNP ZnO nanosheets) were synthesized and used for ethylene detection. The as-prepared samples showed high sensing performance with a lowest detection concentration of 10 ppb. Moreover, the UPNP ZnO nanosheets exhibited different responses to mangoes at different maturity stages, indicating their potential application in fruit ripening monitoring.
Article
Mathematics, Applied
Hongmiao Zhu, Zhen Jin
Summary: Studying how to promote knowledge dissemination in a WeChat group is crucial for knowledge management in Chinese organizations. The two ways of disseminating knowledge in a group are through sharing in the group or using the @username function. A susceptible-infected-recovered-immune (SIRI) dynamics model is built to understand the knowledge dissemination process in a WeChat group. The model parameters are estimated using actual data, and it is found that there should not be excessive communication of knowledge to avoid fatigue and low efficiency. Furthermore, the benefit obtained from learning the knowledge and the balance between point-to-point and many-to-many communication also affect the dissemination efficiency.
APPLIED MATHEMATICS AND COMPUTATION
(2023)
Article
Mathematics, Applied
Lei-Shi Wang, Ming -Tao Li, Xin Pei, Juan Zhang, Gui-Quan Sun, Zhen Jin
Summary: In recent years, there has been a resurgence of brucellosis outbreaks between humans and animals in China. It is crucial to find an optimal control strategy that maximizes farmers' profits while effectively managing the disease. To design a more effective and reasonable control strategy, it is important to understand the profit mechanism of farmers and the transmission mechanism of brucellosis. A dynamic model combining economic factors, livestock farmers' behaviors, and the transmission mechanism of brucellosis is proposed. The model is simulated using data from Ningxia Hui Autonomous Region, and the results indicate the need for adjusting the current control policy and increasing financial support for disease control.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Mathematical & Computational Biology
Lusha Shi, Liping Wang, Zhen Jin
Summary: This paper establishes a SEIMHRS model with hospital-visiting behavior and periodic transmission rate based on the transmission mechanism of seasonal influenza, and analyzes the existence and stability of disease-free and endemic periodic solutions theoretically. By conducting parameter estimation on the epidemic of seasonal influenza during 2013-2018 in Beijing, the basic reproduction ratio is derived. The correlation between the time-varying transmission rate of influenza and the change pattern of three meteorology indices is studied for the first time, showing a synchronization phenomenon between the transmission rate and variation pattern of average atmospheric pressure, an anti-synchronism phenomenon between that of the average temperature, and a normal phase difference with the variation pattern of relative humidity. Finally, the paper advocates emphasizing the effect of variation trend of meteorology on influenza prediction.
INTERNATIONAL JOURNAL OF BIOMATHEMATICS
(2023)
Article
Mathematics, Applied
Jianmeng Cui, Wei Gou, Zhen Jin
Summary: Compared with undirected networks, the eigenvalues of asymmetrical directed networks may be complex, leading to additional collective dynamics such as oscillatory behaviors. However, the high dimensionality of reaction-diffusion systems on directed networks poses challenges for in-depth dynamic analysis. In this paper, the Hopf normal form of general two-species reaction-diffusion systems on directed networks is derived, revealing noteworthy differences from the derivation on undirected networks. Using the obtained theoretical framework, a rigorous Hopf bifurcation analysis is conducted for an SI reaction-diffusion system on directed networks, and the numerical simulations are consistent with the theoretical analysis. Undoubtedly, our work offers an important approach to studying oscillations in directed networks.
CSIAM TRANSACTIONS ON APPLIED MATHEMATICS
(2023)
Article
Mathematical & Computational Biology
Saima Akter, Zhen Jin
Summary: This paper presents and analyzes a novel fractional model for dengue transmission and carries out numerical simulations and dynamical attitude analysis. The fundamental reproduction number R0 is derived using the next generation method and its findings are shown. The global stability of the endemic equilibrium and disease-free equilibrium is calculated using the Lyapunov function. Sensitivity analysis is performed to determine the relative importance of the model parameters to transmission.
MATHEMATICAL BIOSCIENCES AND ENGINEERING
(2023)
Article
Mathematical & Computational Biology
Saima Akter, Zhen Jin
Summary: In this study, a Caputo-based fractional compartmental model is proposed to describe the dynamics of the novel COVID-19. The dynamical attitude and numerical simulations of the proposed fractional model are observed. The basic reproduction number is found using the next-generation matrix. The existence and uniqueness of the solutions of the model are investigated. Furthermore, the stability of the model is analyzed in the context of Ulam-Hyers stability criteria. The effective numerical scheme called the fractional Euler method is employed to analyze the approximate solution and dynamical behavior of the model under consideration. Finally, numerical simulations show that we obtain an effective combination of theoretical and numerical results. The numerical results indicate that the infected curve predicted by this model is in good agreement with the real data of COVID-19 cases.
MATHEMATICAL BIOSCIENCES AND ENGINEERING
(2023)
