Article
Mathematics, Interdisciplinary Applications
Manuel De la sen, Asier Ibeas, Raul Nistal
Summary: This paper examines the basic properties of an SEIR epidemic model with vaccination and treatment controls, focusing on stability, boundedness, and nonnegativity of the state trajectory solution. It also delves into the problem of partial state reachability and the design of a feedback control effort to approximately track a prescribed output value. The study includes numerical examples to test the theoretical aspects and design efficiency of the model.
DISCRETE DYNAMICS IN NATURE AND SOCIETY
(2021)
Letter
Public, Environmental & Occupational Health
Jan Gresil S. Kahambing
Summary: This correspondence introduces the ethical implications of a specific exemption to mandatory vaccination. Public health recognizes both medical and non-medical reasons for vaccine exemptions. The author proposes geophilosophical reasons as an option for remote populations with low density who seek more choices in the dilemma of vaccination.
JOURNAL OF PUBLIC HEALTH
(2022)
Article
Public, Environmental & Occupational Health
Ahmed Maged, Abdullah Ahmed, Salah Haridy, Arthur W. Baker, Min Xie
Summary: Research shows that widespread use of face masks in Asian countries can reduce the transmission of COVID-19, especially when 60%-80% of the population wears masks. Even after community vaccination, wearing masks can still effectively reduce the number of infections.
Article
Mathematical & Computational Biology
Caitlin Ward, Grant D. Brown, Jacob J. Oleson
Summary: Compartmental models are commonly used in infectious disease research, but fitting such models is challenging due to the need to estimate the duration of infectious periods. This article presents a novel approach that considers the transmissibility curve over a fixed infectious duration, offering improved estimation of the time-varying reproductive number.
BIOMETRICAL JOURNAL
(2023)
Review
Pharmacology & Pharmacy
Dylan A. Hendy, Alex Haven, Eric M. Bachelder, Kristy M. Ainslie
Summary: Vaccine technology has evolved to include subunit vaccines, which use purified parts of a pathogen instead of the whole pathogen. Subunit vaccines have no risk of causing disease but are often not immunogenic enough on their own. Advanced delivery systems, such as nano/microparticles, can enhance the immunogenicity of subunit vaccines. Further research is needed to improve scalability, stability, and mucosal immune response.
EXPERT OPINION ON DRUG DELIVERY
(2023)
Article
Physics, Applied
Fuzhong Nian, Xin Guo, Jinzhou Li
Summary: This paper examines the dissemination of COVID-19-related online rumors in social networks and analyzes the influence of individual factors and social environment on public opinion spreading. The study found that controlling the propagation and exit thresholds can effectively control the scale of online public opinion dissemination.
MODERN PHYSICS LETTERS B
(2022)
Article
Mathematics, Interdisciplinary Applications
Awais Khan, Xiaoshan Bai, Muhammad Ilyas, Arshad Rauf, Wei Xie, Peiguang Yan, Bo Zhang
Summary: This study designs an interval estimator for the SEIR model of infectious diseases, using noisy counts of susceptible people provided by Public Health Services. The proposed method provides more freedom and improves the accuracy of estimation within a finite time.
FRACTAL AND FRACTIONAL
(2022)
Article
Microbiology
Christopher McGee, Min Shi, John House, Anna Drude, Gladys Gonzalez, Negin Martin, Shih-Heng Chen, Heidi Rogers, Alex Njunge, Xiomara Hodge, Brittany Mosley, Margaret George, Ruhani Agrawal, Catherine Wild, Cynthia Smith, Audrey Brown, Lisa Barber, Stavros Garantziotis
Summary: The COVID-19 pandemic continues to impact societies and healthcare systems worldwide. Vaccination and social distancing behavior are positively correlated. Breakthrough infections are associated with low antibody titers.
MICROBIOLOGY SPECTRUM
(2022)
Article
Fisheries
Margo E. Chase-Topping, Chris Pooley, Hooman K. Moghadam, Borghild Hillestad, Marie Lillehammer, Lene Sveen, Andrea Doeschl-Wilson
Summary: The experiment tested the impact of vaccination and selective breeding on the transmission of Infectious salmon anemia virus in Atlantic salmon, finding that both methods reduced the probability of infection in contact fish. Genetic resistance showed a more significant effect on infection endurance compared to vaccination.
Article
Mathematics
Kai Yin, Anirban Mondal, Martial Ndeffo-Mbah, Paromita Banerjee, Qimin Huang, David Gurarie
Summary: We propose a modified SEIR model to retrospectively study the transmission dynamics of COVID-19 in India. The model considers the complexities of COVID-19 infection and the effects of government controls and individual behaviors. Bayesian method is used to calibrate the model and estimate undetected cases.
Article
Environmental Studies
Charles Atanga Adongo, Edem Kwesi Amenumey, Akwasi Kumi-Kyereme, Eve Dube
Summary: This study examines the concept of vaccination concern among travelers, revealing a scale with six dimensions including safety, efficacy, cost, among others. The scale significantly explains travelers' uptake attitudes and behavior towards vaccines, showing a distinction between anti-travel vax sentiments and public vax sentiments, despite conceptual similarities. The study suggests that the scale is clinically relevant for tracking and addressing concerns to increase vaccine uptake.
TOURISM MANAGEMENT
(2021)
Article
Infectious Diseases
Ilia Kohanovski, Uri Obolski, Yoav Ram
Summary: This study analyzes the differences between the official and effective start dates of non-pharmaceutical interventions (NPIs) and finds that neglecting these differences can lead to underestimation of the impact of NPIs. The study reveals that the effective start dates of NPIs are often later than the official dates in various regions.
INTERNATIONAL JOURNAL OF INFECTIOUS DISEASES
(2022)
Article
Respiratory System
Zhiqi Zeng, Wei Qu, Ruibin Liu, Wenda Guan, Jingyi Liang, Zhijie Lin, Eric H. Y. Lau, Chitin Hon, Zifeng Yang, Jianxing He
Summary: The Chinese government has eased COVID-19 response measures in early December 2022. Using a modified SEIR transmission dynamics model, this report assessed infection and severe case numbers based on the current epidemic trend from October 22, 2022 to November 30, 2022. The model predicts that the peak of the outbreak in Guangdong Province will occur from December 21, 2022 to December 25, 2022, with around 14.98 million new infections and about 70% of the province's population being infected. The number of severe cases is expected to peak from January 1, 2023 to January 5, 2023, with approximately 101.45 thousand cases.
JOURNAL OF THORACIC DISEASE
(2023)
Article
Mathematics, Applied
Iqbal M. Batiha, Abeer A. Al-Nana, Ramzi B. Albadarneh, Adel Ouannas, Ahmad Al-Khasawneh, Shaher Momani
Summary: This paper investigates the role of fractional calculus in describing the dynamics of the COVID-19 pandemic in Saudi Arabia. By utilizing fractional-order differential operators and a modified SEIR model, the authors demonstrate that the proposed fractional-order models outperform the classical model in accurately describing real data and predicting the number of cases. The findings of this study provide valuable insights for decision makers in formulating effective plans and strategies to combat the pandemic.
Article
Public, Environmental & Occupational Health
Wenning Li, Jianhua Gong, Jieping Zhou, Lihui Zhang, Dongchuan Wang, Jing Li, Chenhui Shi, Hongkui Fan
Summary: A study based on epidemic data reported by the Health Commission of Wenzhou modified the SEIR model to analyze the spread of COVID-19, sensitivity of control measures, and challenges from epidemic rebound. Results indicated that control measures were crucial in preventing the spread of the epidemic.
EPIDEMIOLOGY AND INFECTION
(2021)
Article
Biology
Bruno Buonomo, Rossella Della Marca, Alberto D'Onofrio, Maria Groppi
Summary: This study introduces a new epidemic model to describe the spread of COVID-19 within a population. The findings show that voluntary vaccination can reduce the impact of the disease but cannot eliminate it completely. Widespread information coverage and short-term memory are effective in mitigating vaccine hesitancy and refusal. Additionally, the possible impact of seasonality on disease spread is investigated.
JOURNAL OF THEORETICAL BIOLOGY
(2022)
Article
Mathematics, Applied
Bruno Buonomo, Alberto d'Onofrio, Semu Mitiku Kassa, Yetwale Hailu Workineh
Summary: The study proposed a mathematical model to investigate the effects of information-dependent vaccination behavior on meningitis transmission. Through qualitative analysis and numerical simulations, the research assessed the role of epidemiological and information parameters in the model dynamics. The study found that parameters related to human behavior critically depend on the average information delay in impacting the model dynamics.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2022)
Article
Biology
Bruno Buonomo, Rossella Della Marca, Sileshi Sintayehu Sharbayta
Summary: The success of mass vaccination campaigns may be jeopardized by human risky behaviors, such as premature relaxation of social distancing. This paper focuses on an epidemic model where both the vaccination rate and disease transmission rate are influenced by human behavior, and highlights the impact of information-related parameters on the system behavior.
JOURNAL OF BIOLOGICAL SYSTEMS
(2022)
Article
Engineering, Mechanical
Magdalena Ochab, Piero Manfredi, Krzysztof Puszynski, Alberto d'Onofrio
Summary: This study constructed an infectious disease model considering behavioral responses and analyzed the effects of different types of responses on the dynamics of epidemic outbreaks. The model integrated stochastic discrete dynamics of infection spread with a continuous model describing individuals' delayed behavioral response. By extending the stochastic simulation algorithm and simulating various behavioral models, the effects of different types of responses were classified.
NONLINEAR DYNAMICS
(2023)
Article
Biochemical Research Methods
Fabrizio Angaroni, Alessandro Guidi, Gianluca Ascolani, Alberto d'Onofrio, Marco Antoniotti, Alex Graudenzi
Summary: This study introduces a Julia package called J-SPACE for spatial cancer evolution modeling and simulation. It allows for modeling various experimental scenarios and sequencing settings, and provides a rich set of output results. This research is important for studying the spatial dynamics of cancer cells and evaluating the performance of sequencing data processing pipelines.
BMC BIOINFORMATICS
(2022)
Article
Mathematics, Interdisciplinary Applications
Sileshi Sintayehu Sharbayta, Bruno Buonomo, Alberto d'Onofrio, Tadesse Abdi
Summary: This study utilizes a behavioral SIR epidemic model to analyze the impact of the public health system's efforts in enhancing social distancing during an epidemic outbreak. Results indicate that optimal control of social distancing can lead to a period doubling-like phenomenon, with the prevalence of diseases exhibiting alternating small and large peaks. (c) 2022 Elsevier Ltd. All rights reserved.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematical & Computational Biology
Youngsuk Ko, Victoria May P. Mendoza, Yubin Seo, Jacob Lee, Yeonju Kim, Donghyok Kwon, Eunok Jung
Summary: Early vaccination efforts and non-pharmaceutical interventions were not enough to prevent a surge of COVID-19 cases caused by the Delta variant. A compartment model was developed to study the effects of age, vaccination, and variants. The simulations showed that the timing of easing interventions, intensity of measures, vaccination speed, and screening measures are key factors in preventing another epidemic wave.
MATHEMATICAL MODELLING OF NATURAL PHENOMENA
(2022)
Article
Mathematics, Applied
M. Banerjee, T. Lipniacki, A. d'Onofrio, V. Volpert
Summary: This study investigates a strain-dependence SIR model with virus mutations and a continuous strain variable, and characterizes the epidemic progression of infected individuals through numerical simulations and analytical estimates. Different scenarios of epidemic progression are identified, and the occurrence of single outbreak or multiple outbreaks depends on the characteristics of the transmission rate.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2022)
Article
Physics, Multidisciplinary
Alberto D'Onofrio, Jorge Duarte, Cristina Januario, Nuno Martins
Summary: We studied the behavior of a seasonally forced model for childhood infectious diseases, considering fast weekly fluctuations of social contacts and the interaction between the susceptible population and the external world. Our simulations demonstrated that these fast oscillations can suppress/reduce chaos and subharmonic resonances. The opposition of phase between external infections and internal transmission rate resulted in remarkably different scenarios compared to synchrony. The chaotic behavior observed is not associated with the phenomenon of 'atom-infectious', where the proportion of infectious individuals is small but realistic for large populations.
Article
Mathematics, Interdisciplinary Applications
Bruno Buonomo, Andrea Giacobbe
Summary: Oscillations in epidemic models with human behavior indicate the importance of the human factor in periodically high levels of disease incidence and prevalence. These oscillations can be captured by simple models and are affected by the function used to describe population memory. The introduction of a behavioral SIR-like model with information-dependent social distancing reveals the interplay between behavior and overexposure to infection. Spectral analysis demonstrates that sustained oscillations can occur even with exponentially fading memory, and the individual's behavioral response to information can stabilize these oscillations induced by overexposure.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Applied
Bruno Buonomo, Alberto d'Onofrio
Summary: We propose a SIR-like reaction-diffusion epidemic model with opinion-driven human behavioral changes. The contagion rate is assumed to be theoretically saturated with respect to the density of the disease prevalence. The model extends the general reaction-diffusion epidemic model proposed in 1993 by Capasso and Di Liddo. We study the nonlinear attractivity of the endemic steady state solution using a special Lyapunov function introduced in 2006 by S. Rionero. Sufficient conditions for the conditional nonlinear stability of the endemic equilibrium are derived.
RICERCHE DI MATEMATICA
(2023)
Proceedings Paper
Automation & Control Systems
Michel Fliess, Cedric Join, Alberto d'Onofrio
Summary: This article introduces a model and control strategy regarding the impact of social distancing on the spread of COVID-19, deriving some formulas through mathematical analysis that may be helpful to decision makers. In addition, the feedback loop from model-free control leads to a strong robustness of the strategy against uncertainties and mismatches.
Article
Communication
Valentina Possenti, Barbara De Mei, Anna Kurchatova, Manfred Green, Kare Harald Drager, Roberta Villa, Alberto d'Onofrio, Mitra Saadatian-Elahi, Vanessa Moore, Kjersti Brattekas, Pania Karnaki, Ariel Beresniak, Mircea I. Popa, Donato Greco
Summary: Responsible Research and Innovation (RRI) associated with public health emergency preparedness (PHEP) and response present challenges that require a multi-stakeholder and interdisciplinary approach to encourage public engagement. Previous experiences have shown the importance of engaging local residents and stakeholders in addressing these issues, despite the challenges involved. Under the COVID-19 pandemic, further development and practical implementation of such diverse stakeholder engagement is needed.
FRONTIERS IN COMMUNICATION
(2022)
Article
Mathematics, Interdisciplinary Applications
Armando Ciancio, Vincenzo Ciancio, Alberto d'Onofrio, Bruno Felice Filippo Flora
Summary: In this study, a fractional Abraham-Lorentz-like model of the complex permittivity of conductor media is proposed, which improves the fitting of experimental data for different metals by using non-equilibrium thermodynamics theory and phenomenological functions of internal variables.
FRACTAL AND FRACTIONAL
(2022)
Article
Mathematics, Applied
Geunsu Choi, Mingu Jung, Sun Kwang Kim, Miguel Martin
Summary: This paper studies weak-star quasi norm attaining operators and proves that the set of such operators is dense in the space of bounded linear operators regardless of the choice of Banach spaces. It is also shown that weak-star quasi norm attaining operators have distinct properties from other types of norm attaining operators, although they may share some equivalent properties under certain conditions.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Maria Lorente, Francisco J. Martin-Reyes, Israel P. Rivera-Rios
Summary: In this paper, we provide quantitative one-sided estimates that recover the dependences in the classical setting. We estimate the one-sided maximal function in Lorentz spaces and demonstrate the applicability of the conjugation method for commutators in this context.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Fernando Cobos, Luz M. Fernandez-Cabrera
Summary: We provide a necessary and sufficient condition for the weak compactness of bilinear operators interpolated using the real method. However, this characterization does not hold for interpolated operators using the complex method.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Ovgue Gurel Yilmaz, Sofiya Ostrovska, Mehmet Turan
Summary: The Lupas q-analogue Rn,q, the first q-version of the Bernstein polynomials, was originally proposed by A. Lupas in 1987 but gained popularity 20 years later when q-analogues of classical operators in approximation theory became a focus of intensive research. This work investigates the continuity of operators Rn,q with respect to the parameter q in both the strong operator topology and the uniform operator topology, considering both fixed and infinite n.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
M. Agranovsky, A. Koldobsky, D. Ryabogin, V. Yaskin
Summary: This article modifies the concept of polynomial integrability for even dimensions and proves that ellipsoids are the only convex infinitely smooth bodies satisfying this property.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Abel Komalovics, Lajos Molnar
Summary: In this paper, a parametric family of two-variable maps on positive cones of C*-algebras is defined and studied from various perspectives. The square roots of the values of these maps under a faithful tracial positive linear functional are considered as a family of potential distance measures. The study explores the problem of well-definedness and whether these distance measures are true metrics, and also provides some related trace characterizations. Several difficult open questions are formulated.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Frederic Bayart
Summary: The passage describes the construction of an operator on a separable Hilbert space that is 5-hypercyclic for all δ in the range (ε, 1) and is not 5-hypercyclic for all δ in the range (0, ε).
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Helene Frankowska, Nikolai P. Osmolovskii
Summary: This paper investigates second-order optimality conditions for the minimization problem of a C2 function f on a general set K in a Banach space X. Both necessary and sufficient conditions are discussed, with the sufficiency condition requiring additional assumptions. The paper demonstrates the validity of these assumptions for the case when the set K is an intersection of sets described by smooth inequalities and equalities, such as in mathematical programming problems. The novelty of the approach lies in the arbitrary nature of the set K and the straightforward proofs.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Ole Fredrik Brevig, Kristian Seip
Summary: This paper studies the Hankel operator on the Hardy space and discusses its minimal and maximal norms, as well as the relationship between the maximal norm and the properties of the function.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Alexander Meskhi
Summary: Rubio de Francia's extrapolation theorem is established for new weighted grand Morrey spaces Mp),lambda,theta w (X) with weights w beyond the Muckenhoupt Ap classes. This result implies the one-weight inequality for operators of Harmonic Analysis in these spaces for appropriate weights. The necessary conditions for the boundedness of the Hardy-Littlewood maximal operator and the Hilbert transform in these spaces are also obtained. Some structural properties of new weighted grand Morrey spaces are investigated. Problems are studied in the case when operators and spaces are defined on spaces of homogeneous type.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Maud Szusterman
Summary: In this work, the necessary conditions on the structure of the boundary of a convex body K to satisfy all inequalities are investigated. A new solution for the 3-dimensional case is obtained in particular.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Rami Ayoush, Michal Wojciechowski
Summary: In this article, lower bounds for the lower Hausdorff dimension of finite measures are provided under certain restrictions on their quaternionic spherical harmonics expansions. This estimate is analogous to a result previously obtained by the authors for complex spheres.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
F. G. Abdullayev, V. V. Savchuk
Summary: This paper investigates the convergence and theorem proof of the Takenaka-Malmquist system and Fejer-type operator on the unit circle, and provides relevant results on the class of holomorphic functions representable by Cauchy-type integrals with bounded densities.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Sofiya Ostrovska, Mikhail I. Ostrovskii
Summary: This work aims to establish new results on the structure of transportation cost spaces. The main outcome of this paper states that if a metric space X contains an isometric copy of L1 in its transportation cost space, then it also contains a 1-complemented isometric copy of $1.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Pilar Rueda, Enrique A. Sanchez Perez
Summary: We prove a factorization theorem for Lipschitz operators acting on certain subsets of metric spaces of measurable functions and with values on general metric spaces. Our results show how a Lipschitz operator can be extended to a subset of other metric space of measurable functions that satisfies the following optimality condition: it is the biggest metric space, formed by measurable functions, to which the operator can be extended preserving the Lipschitz constant. Also, we demonstrate the coarsest metric that can be given for a metric space in which an order bounded lattice-valued-Lipschitz map is defined, and provide concrete examples involving the relevant space L0(mu).
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
