A prototype SIR model with vaccination at birth is analyzed in terms of the stability of its endemic equilibrium. The information available on the disease influences the parents' decision on whether vaccinate or not. This information is modeled with a delay according to the Erlang distribution. The latter includes the degenerate case of fading memory as well as the limiting case of concentrated memory. The linear chain trick is the essential tool used to investigate the general case. Besides its novel analysis and that of the concentrated case, it is showed that through the linear chain trick a distributed delay approaches a discrete delay at a linear rate. A rigorous proof is given in terms of the eigenvalues of the associated linearized problems and extension to general models is also provided. The work is completed with several computations and relevant experimental results.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.3934/mbe.2020273 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Plastic harmful ingredients reduce the level of neurofilament light chain protein.
Ecotoxicol Environ Saf
January 2025
Orthopaedics Department of Traditional Chinese Medicine, General Hospital of Ningxia Medical University, Yinchuan, Ningxia Hui 750004, China; Key Laboratory of Ningxia Ethnomedicine Modernization, Ministry of Education, Ningxia Medical University, Yinchuan, Ningxia Hui 750004, China. Electronic address:
Population exposure to plastics is increasing, and plasticizers are frequently detected in humans as important ingredients of plastic products. However, patterns of exposure to harmful ingredients of plastics and their effects on neurofilament light chain (NFL), a marker of active brain pathology, are currently inconclusive. Herein, we employed a range of statistical methods to thoroughly investigate the impact of 24 plastic hazardous ingredients and their varying exposure patterns on NFL concentrations in the blood of the general population in 533 participants.
View Article and Find Full Text PDFEntropy-driven "two-way signal output" cyclic circuit: An ultra-sensitive electrochemical biosensor for non-invasive ORAOV 1 detection.
Talanta
January 2025
School of Chemistry and Chemical Engineering, Yangzhou University, Yangzhou, 225002, China. Electronic address:
The rapid, sensitive and reliable detection of oral cancer overexpressed 1 (ORAOV 1) is crucial for the early, non-invasive diagnosis of oral squamous cell carcinoma (OSCC). Herein, we are the first to construct an ultrasensitive electrochemical (EC) biosensor based on an entropy-driven "two-way signal output" (TWSO) cyclic circuit for salivary ORAOV 1 detection. This innovative TWSO cyclic circuit can skillfully convert by-products into desired signal-generating units, not only reducing the excessive accumulation of by-products but also improving the utilization efficiency of output chains, thereby achieving rapid reaction kinetics and high signal outputs.
View Article and Find Full Text PDFImpact of pre-crosslinks on the self-transformation performance of thermoplastic polyesters into vitrimers intermolecular transesterification.
RSC Adv
January 2025
Department of Life Science and Applied Chemistry, Graduate School of Engineering, Nagoya Institute of Technology Gokiso-cho, Showa-ku Nagoya Aichi Japan 466-8555
We recently proposed a concept of self-transformation from thermoplastic polyesters into vitrimers intermolecular bond exchange as the cross-linking reaction. Key was the use of polyesters bearing hydroxyl side groups, which were cross-linked without additional cross-linkers through intermolecular transesterification in the presence of a suitable catalyst. In our previous study, a linear polyester was synthesized as the starting polymer by reacting dithiol monomers containing ester bonds (2-SH) with diepoxy monomers (2-epoxy) a thiol-epoxy reaction, generating hydroxyl side groups along the polyester chain.
View Article and Find Full Text PDFReversible Nanocomposite by Programming Amorphous Polymer Conformation Under Nanoconfinement.
Adv Mater
January 2025
Department of Chemistry, University of California, Berkeley, CA, 94720, USA.
Nanoconfinements are utilized to program how polymers entangle and disentangle as chain clusters to engineer pseudo bonds with tunable strength, multivalency, and directionality. When amorphous polymers are grafted to nanoparticles that are one magnitude larger in size than individual polymers, programming grafted chain conformations can "synthesize" high-performance nanocomposites with moduli of ≈25GPa and a circular lifecycle without forming and/or breaking chemical bonds. These nanocomposites dissipate external stresses by disentangling and stretching grafted polymers up to ≈98% of their contour length, analogous to that of folded proteins; use both polymers and nanoparticles for load bearing; and exhibit a non-linear dependence on composition throughout the microscopic, nanoscopic, and single-particle levels.
View Article and Find Full Text PDFAssociation Between Intergenerational Support, Technology Perception and Trust, and Intention to Seek Medical Care on the Internet Among Chinese Older Adults: Cross-Sectional Questionnaire Study.
J Med Internet Res
January 2025
School of Journalism, Chongqing University, Chongqing, China.
Background: Avoiding technological innovation does not simplify life. In fact, using internet-based medical services can enhance the quality of life for older adults. In the context of an aging population and the growing integration of information technology, the demand for internet-based medical services among older adults is gaining increased attention.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!