Nonlinear dynamics in an SIR model with ratio-dependent incidence and holling type III treatment rate functions
Trends in Biomathematics: Modeling Epidemiological, Neuronal, and Social Dynamics: Selected Works from the BIOMAT Consortium Lectures, Rio de Janeiro, Brazil, 2022, Page: 57-72
2023
- 1Citations
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
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Book Chapter Description
This article proposes and analyzes a Susceptible-Infective-Recovered (SIR) infectious disease model. Here we consider a ratio-dependent incidence rate and Holling type III treatment rate functions. We observe that there is a possibility of existence of multiple endemic steady states when R > 1. A geometric approach is used to establish the global asymptotic stability of the unique endemic steady state under certain condition. Bi-stable steady states, transcritical bifurcation, and hysteresis are some of the nonlinear dynamical phenomena which are observed in this model system. Numerical examples are provided to demonstrate and validate our analytical results.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85195671424&origin=inward; http://dx.doi.org/10.1007/978-3-031-33050-6_4; https://link.springer.com/10.1007/978-3-031-33050-6_4; https://dx.doi.org/10.1007/978-3-031-33050-6_4; https://link.springer.com/chapter/10.1007/978-3-031-33050-6_4
Springer Science and Business Media LLC
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