Effect of awareness and saturated treatment on the transmission of infectious diseases-Reference-Cited by-同舟云学术

Effect of awareness and saturated treatment on the transmission of infectious diseases

Published:2024-01-01 Issue:1 Volume:12 Page:
ISSN:2544-7297
Container-title:Computational and Mathematical Biophysics
language:en
Short-container-title:

Author:

Pandey Aditya¹,Bhadauria Archana Singh¹,Verma Vijai Shanker¹,Pathak Rachana²

Affiliation:

1. Department of Mathematics and Statistics, Deen Dayal Upadhyaya Gorakhpur University , Gorakhpur - 273009 , India

2. Department of Applied Science and Humanities, Faculty of Engineering and Technology, University of Lucknow , Lucknow - 226031 , India

Abstract

Abstract In this article, we study the role of awareness and its impact on the control of infectious diseases. We analyze a susceptible-infected-recovered model with a media awareness compartment. We find the effective reproduction number

R 0

{R}_{0}

. We observe that our model exhibits transcritical forward bifurcation at

R 0 = 1

{R}_{0}=1

. We also performed the sensitivity analysis to determine the sensitivity of parameters of the effective reproduction number

R 0

{R}_{0}

. In addition, we study the corresponding optimal control problem by considering control in media awareness and treatment. Our studies conclude that we can reduce the rate of spread of infection in the population by increasing the treatment rate along with media awareness.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/cmb-2023-0119/pdf

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