ArticleModeling earth systems and environment2022
The influence of awareness campaigns on the spread of an infectious disease: a qualitative analysis of a fractional epidemic model.
Article in Modeling earth systems and environment, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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8 citing papers in PubMed.
- Modeling and analysis of a delayed fractional order COVID-19 SEIHRM model with media coverage in Malaysia.Scientific reports · 2025Article
- Effects of quarantine and vaccination on the transmission of Lumpy skin disease: A fractional approach.PloS one · 2025Article
- Understanding knowledge, attitude and perception of Rift Valley fever in Baringo South, Kenya: A cross-sectional study.PLOS global public health · 2023Article
- Mathematical study of the dynamics of lymphatic filariasis infection via fractional-calculus.European physical journal plus · 2023Article
- Emergence of Marburg virus: a global perspective on fatal outbreaks and clinical challenges.Frontiers in microbiology · 2023Review
- Qualitative analysis of a fractional-order two-strain epidemic model with vaccination and general non-monotonic incidence rate.International journal of dynamics and control · 2022Article
- Study of Fractional Order SEIR Epidemic Model and Effect of Vaccination on the Spread of COVID-19.International journal of applied and computational mathematics · 2022Article
- Challenges and difficulties in implementing and adopting isolation and quarantine measures among internally displaced people during the COVID-19 pandemic in Mali (161/250).Journal of migration and health · 2022Article
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3 authors.
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Abstract
Mass-media coverage is one of the most widely used government strategies on influencing public opinion in times of crisis. Awareness campaigns are highly influential tools to expand healthy behavior practices among individuals during epidemics and pandemics. Mathematical modeling has become an important tool in analyzing the effects of media awareness on the spread of infectious diseases. In this paper, a fractional-order epidemic model incorporating media coverage is presented and analyzed. The problem is formulated using susceptible, infectious and recovered compartmental model. A long-term memory effect modeled by a Caputo fractional derivative is included in each compartment to describe the evolution related to the individuals' experiences. The well-posedness of the model is investigated in terms of global existence, positivity, and boundedness of solutions. Moreover, the disease-free equilibrium and the endemic equilibrium points are given alongside their local stabilities. By constructing suitable Lyapunov functions, the global stability of the disease-free and endemic equilibria is proven according to the basic reproduction number
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