Analysis of COVID-19 outbreak using GIS and SEIR model

Kumar, Sanjay; Sandhu, Har Amrit Singh; Awasthi, Uday; Singh, Sanjay Kumar; Agarwal, Praveen

doi:10.1016/b978-0-32-390953-2.00020-7

Cited by 5 publications

(1 citation statement)

References 9 publications

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“…In the Nipah virus model, the human and pig populations are represented, and all state variables are nonnegative at all times t 0 [1]. As a result, we will assess the model's autonomous model (2.1) in a sufficiently realizable range [21], which we get as follows…”

Section: Invariant Regionmentioning

confidence: 99%

The dynamics of Nipah virus (NiV) transmission and analysis

Ozioko,

Aja,

Abang

et al. 2023

J. Math. Computer Sci.

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We propose a model for NiV infection mechanisms from pigs to humans and humans to humans, with a focus on the impact of a combination vaccine, and condom as a control measure. In a biologically realistic setting, we derived the basic characteristics of our suggested model, such as boundedness and positivity. We determined the basic reproduction number to investigate both the local and global behavior of the model's various equilibria. When the reproductive number is less than one, the disease-free state of Nipah virus is locally asymptotically stable, but unstable when it is higher than one. We established that the endemic equilibrium is locally asymptotically stable near unity using central manifold theory. Nipah virus free equilibrium is stable on the global stability scale, and endemic equilibrium is asymptotically stable. We determine that vaccination and condom are effective ways for reducing Nipah virus spread. In addition, Nipah virus carriers (asymptomatic) are identified as the most infectious individuals who should be targeted by the model. Finally, numerical simulations are used to verify the efficacy of the provided findings.

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Section: Invariant Regionmentioning

confidence: 99%