Related Experiment Video
Updated: Nov 17, 2025

Quantitative Analysis of Cell Edge Dynamics during Cell Spreading
Published on: May 22, 2021
An application of a novel geometric criterion to global-stability problems of a nonlinear SEIVS epidemic model
Xingyu Wang1, Zhijun Liu1, Lianwen Wang1
1School of Mathematics and Statistics, Hubei Minzu University, Enshi, 445000 People's Republic of China.
Abstract:
This work applies a novel geometric criterion for nonlinear autonomous differential equations developed by Lu and Lu (NARWA 36:20-43, 2017) to a nonlinear SEIVS epidemic model with temporary immunity and achieves its threshold dynamics. Specifically, global-stability problems for the SEIVS model of Cai and Li (AMM 33:2919-2926, 2009) are effectively solved. The corresponding optimal control system with vaccination, awareness campaigns and treatment is further established and four different control strategies are compared by numerical simulations to contain hepatitis B. It is concluded that joint implementation of these measures can minimize the numbers of exposed and infectious individuals in the shortest time, so it is the most efficient strategy to curb the hepatitis B epidemic. Moreover, vaccination for newborns plays the core role and maintains the high level of population immunity.
More Related Videos
Related Concept Videos
Application of Nonlinear Inequalities
Population Growth
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
Routh-Hurwitz Criterion II
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
Exponential Equations for Modeling Growth
Gaussian Elimination: Problem Solving

