Impacts of Media Awareness on a Stage Structured Epidemic Model

In this article, we investigate a diffusive two-strain epidemic model with non-monotone incidence rate and virus mutation. The positivity, existence and uniform boundedness of the solutions of the model system are studied. It is found that the system has three equilibrium points, namely the infection-free equilibrium point, the strain-2 endemic equilibrium point and both the strain-1 and strain-2 endemic equilibrium points. The global asymptotic stability analysis of the diffusive model system near all the equilibrium points is carried out by constructing appropriate Lyapunov functional. It is found that the system has no strain-1 endemic equilibrium point possibly due to the virus mutation. So, in this type of diseases, the infection due to strain-1 cannot be persistent in the community.

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“…( 2016b ), Hattaf et al. ( 2012 ), Khatua and Kar ( 2020a ), Khatua and Kar ( 2020b ), Khatua et al. ( 2021 ), Mandal et al.…”

Section: Introductionmentioning

confidence: 99%

Global Dynamics of a Diffusive Two-Strain Epidemic Model with Non-Monotone Incidence Rate

Khatua

Pal²,

Kar

2022

Iran J Sci Technol Trans Sci

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“…Restriction in travel, closure of the educational institute, preventive specifications in various workplaces during this period changes the standard social mixing patterns, which delayed the impact of COVID-19 and delayed the disease onset in uninfected zones of the country. Consequences of human behavioral activity in predictive epidemiological models gained much attention in recent years [26] , [27] , [28] , [29] . Alert of a disease outbreak fundamentally results in avoiding unnecessary contact at an individual level, which gives a behavioral immunity in population [8] .…”

Section: Introductionmentioning

confidence: 99%

The effectiveness of contact tracing in mitigating COVID-19 outbreak: A model-based analysis in the context of India

Das

Khatua

Kar

et al. 2021

Applied Mathematics and Computation

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The ongoing pandemic situation due to COVID-19 originated from the Wuhan city, China affects the world in an unprecedented scale. Unavailability of totally effective vaccination and proper treatment regimen forces to employ a non-pharmaceutical way of disease mitigation. The world is in desperate demand of useful control intervention to combat the deadly virus. This manuscript introduces a new mathematical model that addresses two different diagnosis efforts and isolation of confirmed cases. The basic reproductive number, is inspected, and the model’s dynamical characteristics are also studied. We found that with the condition the disease can be eliminated from the system. Further, we fit our proposed model system with cumulative confirmed cases of six Indian states, namely, Maharashtra, Tamil Nadu, Andhra Pradesh, Karnataka, Delhi and West Bengal. Sensitivity analysis carried out to scale the impact of different parameters in determining the size of the epidemic threshold of . It reveals that unidentified symptomatic cases result in an underestimation of whereas, diagnosis based on new contact made by confirmed cases can gradually reduce the size of and hence helps to mitigate the ongoing disease. An optimal control problem is framed using a control variable projecting the effectiveness of diagnosis based on traced contacts made by a confirmed COVID patient. It is noticed that optimal contact tracing effort reduces effectively over time.

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