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ROLE OF INTERVENTION STRATEGIES AND PSYCHOLOGICAL EFFECT ON THE CONTROL OF INFECTIOUS DISEASES IN THE RANDOM ENVIRONMENT

Laboratory of Statistics and Stochastic Processes, University Djillali Liabés, BP. 89, Sidi Bel Abbes 22000, Algeria

Laboratory of Biomathematics, Department of Mathematics, Djillali Liabés University, BP. 89, Sidi Bel Abbes 22000, Algeria

E-mail Address: fethiou91@gmail.com

Corresponding author.

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PANKAJ KUMAR TIWARI

https://orcid.org/0000-0001-5342-3961

Department of Basic Science and Humanities, Indian Institute of Information Technology, Bhagalpur 813210, India

E-mail Address: pktiwari.math@iiitbh.ac.in

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, and

YOUSSAF MENACER

https://orcid.org/0009-0001-9977-5089

Laboratory of Mathematical Biology, University of Houston, 3507 Cullen Blvd, Houston, Texas 77204, USA

E-mail Address: ymenacer@cougarnet.uh.edu

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https://doi.org/10.1142/S0218339024500402Cited by:0 (Source: Crossref)

Abstract

Infectious disease outbreaks have caused significant losses to populations worldwide in terms of morbidity, social and economic costs. This has prompted governments to seek suitable intervention policies to suppress the outbreaks. This paper aims to explore the intrinsic impact of intervention strategies and the psychological behavior of people on the spread of infectious diseases. Employing the finite state Markov chain, we formulate a new stochastic SIS epidemic model under regime switching by using the Beddington–DeAngelis transmission function, in the presence of some governmental control measures. The study of the model is centered on three different scenarios in terms of varying two control parameters. We analyze the deterministic system for the global dynamics in terms of basic reproductive number. Some new threshold parameters are defined to discuss the extinction and the persistence of the disease in the stochastic setting. Numerical assessments were undertaken to validate theoretical findings for the deterministic and stochastic systems. Our findings strongly suggest that heightened awareness among susceptible individuals contributes significantly to the eradication of infection and fosters a stable epidemiological situation. As levels of public awareness increase, particularly within the susceptible population, a discernible trend toward the eradication of the infection emerges, ultimately ensuring sustained stability within the epidemiological landscape.

Keywords:

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