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IJSTR >> Volume 8 - Issue 7, July 2019 Edition



International Journal of Scientific & Technology Research  
International Journal of Scientific & Technology Research

Website: http://www.ijstr.org

ISSN 2277-8616



Impact Of Treatment On Droplet Infection: Age Structured Mathematical Model

[Full Text]

 

AUTHOR(S)

Chanda Purushwani, Poonam Sinha

 

KEYWORDS

Droplet infection; SITR Model; Basic Reproduction Number; Stability analysis; Sensitivity Analysis; Optimal controls

 

ABSTRACT

Droplet infection is a widespread disease of all age groups. Consciousness about prevention and treatment can reduce the risk of infection. Infected population of any age group can avail a common treatment. In this paper, we have proposed age structured SITR model along with droplet infection. To analyse the model, we have evaluated disease free equilibrium point, endemic equilibrium point and basis reproduction number (R0).It is found that disease free equilibrium point always exists and model is stable around it when R0 <1. Similarly endemic equilibrium point exists and model is stable around it when R0 >1. Sensitivity analysis for basic reproduction number is performed to see the influence of parameters on disease spread. Optimal controls are measured to minimize infected population and produced droplets, using Pontryagin's minimum Principle. Numerical simulation is done to observe the dynamic behaviour of all population in model. Suitable graphs are illustrated to support the results.

 

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