1. Impact of information intervention on stochastic dengue epidemic model
- Author
-
Peijiang Liu, Anwarud Din, and Zenab
- Subjects
Lyapunov function ,Dengue stochastic epidemic model ,Stochastic modelling ,Computer science ,020209 energy ,02 engineering and technology ,Numerical simulation ,01 natural sciences ,Quantitative Biology::Other ,010305 fluids & plasmas ,Dengue fever ,Stochastic differential equation ,symbols.namesake ,Stationary distribution ,Exponential stability ,Intervention (counseling) ,0103 physical sciences ,0202 electrical engineering, electronic engineering, information engineering ,medicine ,Applied mathematics ,Quantitative Biology::Populations and Evolution ,Extinction analysis ,General Engineering ,Environmental noise ,medicine.disease ,Engineering (General). Civil engineering (General) ,humanities ,symbols ,Information intervention ,TA1-2040 ,Epidemic model ,Basic reproduction number - Abstract
The investigated manuscript is devoted to the study of the dengue epidemic model. Generally, the infection of dengue occurs in extremely hot and humid conditions where the transmission and control depend on many factors like information intervention, humid weather, etc. With the help of the deterministic dengue model, we have taken the stochastic perturbed dengue model along with the factor of information intervention. The qualitative analysis for the positive solution of the stochastic differential equation based model is built. The scheme for basic reproduction number introduced for sure exponential stability by constructing the Lyapunov function. For the validity of our obtained results, we have simulated the proposed scheme and compare the stochastic model with its corresponding deterministic version.
- Published
- 2021