Extinction, Ultimate Boundedness, and Persistence in the Mean of a Stochastic Heroin Epidemic Model With Distributed Delay
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DOI: 10.1002/mma.10698
Abstract: In this paper, we consider a stochastic heroin epidemic model with distributed delay. We analyze the model in detail: We prove the existence and uniqueness of the global positive solution of the system, the asymptotic… read more here.
Keywords: heroin epidemic; model distributed; distributed delay; stochastic heroin ... See more keywords
Mathematical Study of Two‐Strain Epidemic Model With Crossover Behavior
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DOI: 10.1002/mma.11111
Abstract: This article aims to explore the qualitative theory of a two‐strain epidemic model that incorporates a piecewise operator. The study employs fixed‐point theory to analyze the existence and uniqueness of solutions for the model. Additionally,… read more here.
Keywords: two strain; epidemic model; mathematical study; strain epidemic ... See more keywords
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
Stability analysis and numerical approximate solution for a new epidemic model with the vaccination strategy
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DOI: 10.1002/mma.9925
Abstract: In this paper, we introduce a new mathematical epidemic model with the effect of vaccination. We formulate a Susceptible‐High risk‐Infective‐Recovered‐Vaccinated (SHIRV) model in which the susceptible individuals with a higher probability of being infected (H)… read more here.
Keywords: stability analysis; solution; vaccination; model ... See more keywords
Stochastic COVID‐19 epidemic model incorporating asymptomatic and isolated compartments
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DOI: 10.1002/mma.9928
Abstract: This study delves into the intricate dynamics of the COVID‐19 epidemic by extending a deterministic compartmental model incorporating asymptomatic, quarantined and isolated compartments, with a stochastic model capturing the natural randomness of the processes. Traditional… read more here.
Keywords: model; incorporating asymptomatic; model incorporating; isolated compartments ... 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