Chaotic dynamics in the seasonally forced SIR epidemic model
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Biology"
DOI: 10.1007/s00285-017-1130-9
Abstract: We prove analytically the existence of chaotic dynamics in the forced SIR model. Although numerical experiments have already suggested that this model can exhibit chaotic dynamics, a rigorous proof (without computer-aided) was not given before.… read more here.
Keywords: seasonally forced; chaotic dynamics; forced sir; sir epidemic ... See more keywords
The parameter identification problem for SIR epidemic models: identifying unreported cases
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DOI: 10.1007/s00285-017-1203-9
Abstract: A SIR epidemic model is analyzed with respect to identification of its parameters, based upon reported case data from public health sources. The objective of the analysis is to understand the relation of unreported cases… read more here.
Keywords: parameter identification; problem sir; sir epidemic; identification problem ... See more keywords
Time Periodic Traveling Waves for a Periodic and Diffusive SIR Epidemic Model
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-016-9546-2
Abstract: In this paper, we study the time periodic traveling wave solutions for a periodic SIR epidemic model with diffusion and standard incidence. We establish the existence of periodic traveling waves by investigating the fixed points… read more here.
Keywords: time periodic; sir epidemic; traveling waves; epidemic model ... See more keywords
Optimal Immunity Control and Final Size Minimization by Social Distancing for the SIR Epidemic Model
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-021-01830-1
Abstract: The aim of this article is to understand how to apply partial or total containment to SIR epidemic model during a given finite time interval in order to minimize the epidemic final size, that is… read more here.
Keywords: final size; sir epidemic; epidemic model; social distancing ... See more keywords
Optimal vaccination and treatment policies for regional approximate controllability of the time-fractional reaction-diffusion SIR epidemic systems.
Sign Up to like & getrecommendations! Published in 2021 at "ISA transactions"
DOI: 10.1016/j.isatra.2021.01.023
Abstract: This paper addresses the optimal vaccination and treatment control problems for regional approximate controllability of a new spatiotemporal epidemic model that is developed by afterwards adding at the basic susceptible-infected-recovered (SIR) epidemic system with the… read more here.
Keywords: time fractional; sir epidemic; vaccination treatment; controllability ... See more keywords
Dynamics analysis of SIR epidemic model with correlation coefficients and clustering coefficient in networks.
Sign Up to like & getrecommendations! Published in 2018 at "Journal of theoretical biology"
DOI: 10.1016/j.jtbi.2018.04.007
Abstract: In this paper, the correlation coefficients between nodes in states are used as dynamic variables, and we construct SIR epidemic dynamic models with correlation coefficients by using the pair approximation method in static networks and… read more here.
Keywords: dynamics analysis; sir epidemic; correlation; clustering coefficient ... See more keywords
On the Integrability of the SIR Epidemic Model with Vital Dynamics
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DOI: 10.1155/2020/5869275
Abstract: In this paper, we study the SIR epidemic model with vital dynamics _ S = −βSI + μðN − SÞ, _ I = βSI − ðγ + μÞI, _ R = γI − μR, from… read more here.
Keywords: sir model; model vital; vital dynamics; sir epidemic ... See more keywords
Global dynamics of a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Difference Equations"
DOI: 10.1186/s13662-020-03145-3
Abstract: In this paper, we study a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage. For the deterministic model, we give the basic reproduction number R 0 $R_{0}$ which determines the… read more here.
Keywords: sir epidemic; novel deterministic; epidemic model; deterministic stochastic ... See more keywords