A modified variable‐order fractional SIR model to predict the spread of COVID‐19 in India
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7655
Abstract: The first case of COVID-19 in India detected on January 30, 2020, after its emergence in Wuhan, China, in December 2019. The lockdown was imposed as anemergency measure by the Indian government to prevent the… read more here.
Keywords: sir model; fractional sir; sir; model ... See more keywords
Underdetection in a stochastic SIR model for the analysis of the COVID-19 Italian epidemic
Sign Up to like & getrecommendations! Published in 2021 at "Stochastic Environmental Research and Risk Assessment"
DOI: 10.1007/s00477-021-02081-2
Abstract: We propose a way to model the underdetection of infected and removed individuals in a compartmental model for estimating the COVID-19 epidemic. The proposed approach is demonstrated on a stochastic SIR model, specified as a… read more here.
Keywords: underdetection stochastic; sir model; underdetection; model ... See more keywords
Qualitative Analysis and Optimal Control Strategy of an SIR Model with Saturated Incidence and Treatment
Sign Up to like & getrecommendations! Published in 2019 at "Differential Equations and Dynamical Systems"
DOI: 10.1007/s12591-019-00486-8
Abstract: This paper deals with an SIR model with saturated incidence rate affected by inhibitory effect and saturated treatment function. Two control functions have been used, one for vaccinating the susceptible population and other for the… read more here.
Keywords: control; saturated incidence; sir model; treatment ... See more keywords
Law of mass action and saturation in SIR model with application to Coronavirus modelling
Sign Up to like & getrecommendations! Published in 2020 at "Infectious Disease Modelling"
DOI: 10.1016/j.idm.2020.11.002
Abstract: When using SIR and related models, it is common to assume that the infection rate is proportional to the product of susceptible and infected individuals. While this assumption works at the onset of the outbreak,… read more here.
Keywords: sir model; infection; coronavirus; model ... See more keywords
Mathematical analysis of COVID-19 by using SIR model with convex incidence rate
Sign Up to like & getrecommendations! Published in 2021 at "Results in Physics"
DOI: 10.1016/j.rinp.2021.103970
Abstract: Our this manuscript is about a new COVID-19 SIR model, which contain three classes; Susceptible S(t), Infected I(t) and Recovered R(t) with Convex incidence rate. Firstly, we present the consider model in differential equations form.… read more here.
Keywords: sir model; convex incidence; incidence rate; covid ... See more keywords
Qualitative analysis and optimal control of an SIR model with logistic growth, non-monotonic incidence and saturated treatment
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Modelling of Natural Phenomena"
DOI: 10.1051/mmnp/2021004
Abstract: This paper describes an SIR model with logistic growth rate of susceptible population, non-monotonic incidence rate and saturated treatment rate. The existence and stability analysis of equilibria have been investigated. It has been shown that… read more here.
Keywords: control; sir model; treatment; rate ... See more keywords
Traveling waves in a delayed SIR model with nonlocal dispersal and nonlinear incidence
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5021761
Abstract: This paper is concerned with traveling waves of a delayed SIR model with nonlocal dispersal and a general nonlinear incidence. The existence and nonexistence of traveling waves of the system are established respectively by Schauder’s… read more here.
Keywords: sir model; nonlocal dispersal; model nonlocal; traveling waves ... See more keywords
Long-term prediction of the COVID-19 epidemics induced by Omicron-virus in China based on a novel non-autonomous delayed SIR model
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/acd233
Abstract: Since the outbreak of COVID-19, the severe acute respiratory syndrome coronavirus 2 genome is still mutating. Omicron, a recently emerging virus with a shorter incubation period, faster transmission speed, and stronger immune escape ability, is… read more here.
Keywords: sir model; covid; model; city ... See more keywords
The Use of Triangular Norms in Epidemiological Models: A Comparative Study Using COVID-19 Data
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Fuzzy Systems"
DOI: 10.1109/tfuzz.2022.3205357
Abstract: In this manuscript we use triangular norms to model contact between susceptible and infected individuals in the susceptible-infected-recovered (SIR) epidemiological model. In the classical SIR model, the encounter between susceptible and infected individuals is traditionally… read more here.
Keywords: triangular norms; susceptible infected; use triangular; sir model ... See more keywords
On the Integrability of the SIR Epidemic Model with Vital Dynamics
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Mathematical Physics"
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
Dynamic behaviors of a modified SIR model in epidemic diseases using nonlinear incidence and recovery rates
Sign Up to like & getrecommendations! Published in 2017 at "PLoS ONE"
DOI: 10.1371/journal.pone.0175789
Abstract: The transmission of infectious diseases has been studied by mathematical methods since 1760s, among which SIR model shows its advantage in its epidemiological description of spread mechanisms. Here we established a modified SIR model with… read more here.
Keywords: sir model; model; incidence recovery; nonlinear incidence ... See more keywords