AI Article Synopsis
Article Abstract
We investigate the global dynamics of a general Kermack-McKendrick-type epidemic model formulated in terms of a system of renewal equations. Specifically, we consider a renewal model for which both the force of infection and the infected removal rates are arbitrary functions of the infection age, [Formula: see text], and use the direct Lyapunov method to establish the global asymptotic stability of the equilibrium solutions. In particular, we show that the basic reproduction number, [Formula: see text], represents a sharp threshold parameter such that for [Formula: see text], the infection-free equilibrium is globally asymptotically stable; whereas the endemic equilibrium becomes globally asymptotically stable when [Formula: see text], i.e. when it exists.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1007/s00285-018-01324-1 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
A hybrid Harris Hawks Optimization with Support Vector Regression for air quality forecasting.
Sci Rep
January 2025
Faculty of Computers and Information, Minia University, Minia, Egypt.
This paper proposes a hybridized model for air quality forecasting that combines the Support Vector Regression (SVR) method with Harris Hawks Optimization (HHO) called (HHO-SVR). The proposed HHO-SVR model utilizes five datasets from the environmental protection agency's Downscaler Model (DS) to predict Particulate Matter ([Formula: see text]) levels. In order to assess the efficacy of the suggested HHO-SVR forecasting model, we employ metrics such as Mean Absolute Percentage Error (MAPE), Average, Standard Deviation (SD), Best Fit, Worst Fit, and CPU time.
View Article and Find Full Text PDFSpin transport properties in a topological insulator sandwiched between two-dimensional magnetic layers.
Sci Rep
January 2025
Department of Applied Physics, School of Engineering Sciences, KTH Royal Institute of Technology, AlbaNova University Center, SE-10691, Stockholm, Sweden.
Non-trivial band topology along with magnetism leads to different novel quantum phases. When time-reversal symmetry is broken in three-dimensional topological insulators (TIs) through, e.g.
View Article and Find Full Text PDFFuzzy self-tuning fractional order PD permanent magnet synchronous motor speed control based on torque compensation.
Sci Rep
January 2025
Changchun Automobile Economic & Technological Development Zone Employment Service Bureau, Jilin City, China.
The permanent magnet synchronous motor control system is characterized by its nonlinear and strongly coupled complexity, presenting significant challenges for control performance optimization. To address these challenges, a Fuzzy adaptive fractional order [Formula: see text] control strategy based on torque observation compensation is proposed. The parameters of the fractional order [Formula: see text] controller are optimized real time using fuzzy logic reasoning, in order to enhance the speed of parameters tuning, a graphical design method of the fractional order [Formula: see text] controller parameters based on frequency domain performance indicators is proposed to obtain the initial values of the fuzzy adaptive fractional order [Formula: see text] controller parameters graphically and intuitively.
View Article and Find Full Text PDFCoupling between topological edge state and defect mode-based biosensor using phononic crystal.
Sci Rep
January 2025
TH-PPM Group, Physics Department, Faculty of Science, Beni-Suef University, Beni-Suef, 62521, Egypt.
A wealth of details regarding an individual's state of health, like a person's respiratory and metabolic functioning, can be studied by analyzing the volatile molecules and atoms in human exhaled breath. Besides, the salinity of seawater is a crucial factor in understanding its characteristics because any variation in the salinity of seawater represents the variations in the hydrological, biological, and chemical distributions. In this paper, a symmetrical one-dimensional phononic structure is theoretically designed using two symmetrical crystals separated with a defective cavity.
View Article and Find Full Text PDFAdvanced KNN-based cost-efficient algorithm for precision localization and energy optimization in dynamic underwater sensor networks.
Sci Rep
January 2025
Department of Natural and Engineering Sciences, College of Applied Studies and Community Services, King Saud University, Riyadh, 11543, Saudi Arabia.
Underwater environmental exploration using sensor nodes has emerged as a critical endeavor fraught with challenges such as localization errors, energy, and costs attributed to the dynamic nature of underwater environments. This paper proposes a KNN-based cost-efficient machine-learning algorithm aimed at optimizing underwater context acquisition with sensor nodes. By addressing existing localization challenges, the algorithm minimizes localization errors, energy consumption and Time costs while significantly enhancing localization accuracy to 99.
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!