Dynamic analysis and optimal control of influenza model with discrete age structure

doi:10.1002/mma.9813

Ya Chen, Juping Zhang

Dynamic analysis and optimal control of influenza model with discrete age structure

General Engineering
General Mathematics

Age heterogeneity in influenza transmission leads to significant differences in infection risk among different age groups. In this paper, an influenza model with vaccination and discrete age structure is constructed. First, we obtain the basic reproduction number and prove that the disease‐free equilibrium is globally stable at . When , the disease will persist uniformly, and there is a unique positive equilibrium, which is globally asymptotically stable under certain conditions. The model is used to analyze influenza data from 2016 to 2017 in China. By comparing various prevention and control measures, it can be found that by wearing masks to reduce contact between different age groups, while increasing vaccine coverage and reducing vaccine failure rates, the prevention and control goals can be achieved in the shortest time. However, if only the vaccine coverage rate is increased and the vaccine protection rate is strengthened, the time to reach the control target is 8 months later than the above case, and the cost is the lowest.

Need a simple solution for managing your BibTeX entries? Explore CiteDrive!

Web-based, modern reference management
Collaborate and share with fellow researchers
Integration with Overleaf
Comprehensive BibTeX/BibLaTeX support
Save articles and websites directly from your browser
Search for new articles from a database of tens of millions of references

Try out CiteDrive

Dynamic analysis and optimal control of influenza model with discrete age structure

Need a simple solution for managing your BibTeX entries? Explore CiteDrive!

More from our Archive

Organ registration from partial surface data in augmented surgery from an optimal control perspective

Dynamic fluorescence molecular tomography metabolic parameters solution based on problem decomposition and prior refactor

In vivo deep brain multiphoton fluorescence imaging emitting at <scp>NIR‐I</scp> and <scp>NIR‐II</scp> and excited at <scp>NIR‐IV</scp>

Impact of cryogenic treatment on the performance of coated tungsten carbide inserts during machining of EN24 grade alloy steel

Dynamic analysis and optimal control of influenza model with discrete age structure

On the Ulam stabilities of nonlinear integral equations and integro‐differential equations

Semiclassical states for fractional Schrödinger equations with critical nonlinearities

Social network learning: Uncertainty, heterogeneity, and the application in principal–agent relationships

New exploration on approximate controllability of fractional neutral‐type delay stochastic differential inclusions with non‐instantaneous impulse

Dynamical behaviors of stochastic eco‐epidemic predator–prey model with Allee effect in prey and Lévy jump