Modeling of fractional‐order COVID‐19 epidemic model with quarantine and social distancing
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DOI: 10.1002/mma.7360
Abstract: Different countries of the world are facing a serious pandemic of corona virus disease (COVID‐19). One of the most typical treatments for COVID‐19 is social distancing, which includes lockdown; it will help to decrease the… read more here.
Keywords: order covid; fractional order; epidemic model; social distancing ... See more keywords
Dynamical properties in an SVEIR epidemic model with age‐dependent vaccination, latency, infection, and relapse
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DOI: 10.1002/mma.7583
Abstract: An SVEIR epidemic model with continuous age‐dependent vaccination, latency, infection, and disease relapse is proposed and analyzed in this paper. The dynamical behaviors including the derivation of basic reproduction number R0 , the existence and… read more here.
Keywords: dependent vaccination; sveir epidemic; vaccination latency; model ... See more keywords
Dynamical analysis of a discrete‐time COVID‐19 epidemic model
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DOI: 10.1002/mma.8806
Abstract: In this paper, we explore local dynamics with topological classifications, bifurcation analysis, and chaos control in a discrete‐time COVID‐19 epidemic model in the interior of ℝ+4$$ {\mathbb{R}}_{+}^4 $$ . It is explored that for all… read more here.
Keywords: time covid; epidemic model; covid epidemic; discrete time ... See more keywords
An age-structured epidemic model for the demographic transition
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DOI: 10.1007/s00285-018-1253-7
Abstract: In this paper, we formulate an age-structured epidemic model for the demographic transition in which we assume that the cultural norms leading to lower fertility are transmitted amongst individuals in the same way as infectious… read more here.
Keywords: model demographic; age structured; epidemic model; model ... See more keywords
Evolutionary dynamics in an SI epidemic model with phenotype-structured susceptible compartment.
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DOI: 10.1007/s00285-021-01703-1
Abstract: We present an SI epidemic model whereby a continuous structuring variable captures variability in proliferative potential and resistance to infection among susceptible individuals. The occurrence of heritable, spontaneous changes in these phenotypic characteristics and the… read more here.
Keywords: susceptible individuals; resistance infection; model; proliferative potential ... See more keywords
Time Periodic Traveling Waves for a Periodic and Diffusive SIR Epidemic Model
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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
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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
Vaccination control of an epidemic model with time delay and its application to COVID-19
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DOI: 10.1007/s11071-021-06533-w
Abstract: This paper studies an SEIR-type epidemic model with time delay and vaccination control. The vaccination control is applied when the basic reproduction number \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$R_0>1$$\end{document}R0>1. The vaccination… read more here.
Keywords: epidemic model; usepackage; vaccination; vaccination control ... See more keywords
Dynamics of an epidemic model with delays and stage structure
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DOI: 10.1007/s40314-017-0452-y
Abstract: In this paper, dynamics of a stage-structured epidemic model with delays and nonlinear incidence rate is analyzed. Local stability and existence of Hopf bifurcation is discussed by choosing possible combination of the delays as the… read more here.
Keywords: epidemic model; dynamics epidemic; model delays; delays stage ... See more keywords
Approximate Solution and Analysis of Smoking Epidemic Model with Caputo Fractional Derivatives
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DOI: 10.1007/s40819-018-0543-5
Abstract: In this paper, an epidemic model is presented to describe the dynamics of drugs usage among the adults. The Caputo fractional derivative operator of order $$\phi \in (0, 1]$$ϕ∈(0,1] is employed to obtain the system… read more here.
Keywords: approximate solution; solution analysis; epidemic model; model ... See more keywords
The Effect of Feedback Controls on Stability in a Fractional-Order SI Epidemic Model
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DOI: 10.1007/s40819-021-01085-4
Abstract: In this paper, we studied the effect of feedback controls on the stability of epidemiological models. A fractional-order Susceptible-Infectious (SI) epidemic model is an example of the studying. Based on constructing the reproduction number $$R_{0}$$… read more here.
Keywords: feedback controls; effect feedback; fractional order; controls stability ... See more keywords