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Reproduction Number sentence examples within disease free equilibrium



Estimation and Optimal Control of the Multiscale Dynamics of Covid-19: A Case Study From Cameroon


Dynamics of a COVID-19 Model with a Nonlinear Incidence Rate, Quarantine, Media Effects, and Number of Hospital Beds

Reproduction Number sentence examples within next generation matrix



Mathematical model of schistosomiasis with health education and molluscicide intervention


Dynamical aspects of pine wilt disease and control measures

Reproduction Number sentence examples within coronavirus disease 2019



Explaining the effective reproduction number of COVID-19 through mobility and enterprise statistics: Evidence from the first wave in Japan


Analysis of the First Epidemic Wave of Coronavirus Disease 2019 in Chiba Prefecture



Reproduction Number sentence examples within case fatality rate



Mathematical modeling for COVID-19 pandemic in Iraq


Polymeric Materials as Potential Inhibitors Against SARS-CoV-2

Reproduction Number sentence examples within global asymptotic stability



A malaria model with Caputo-Fabrizio and Atangana-Baleanu derivatives


Modelling the effects of ozone concentration and pulse vaccination on seasonal influenza outbreaks in Gansu Province, China

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Modelling the dynamics of Zika in a population with two strains of the virus with optimal control and cost-effectiveness analysis


The development of a deterministic dengue epidemic model with the influence of temperature: A case study in Malaysia

Reproduction Number sentence examples within herd immunity threshold



Resurgence of COVID-19 in Manaus, Brazil, despite high seroprevalence


Universality and herd immunity threshold: Revisiting the SIR model for COVID-19

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Mathematical modelling of HIV infection with the effect of horizontal and vertical transmissions


Temporal-spatial analysis of an age-space structured foot-and-mouth disease model with Dirichlet boundary condition.

Reproduction Number sentence examples within globally asymptotically stable



Epidemic Model and Mathematical Study of Impact of Vaccination for the Control of Malware in Computer Network


Stability of general pathogen dynamic models with two types of infectious transmission with immune impairment

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A study of SIQR model with Holling type–II incidence rate


Reproduction number and sensitivity analysis of cassava mosaic disease spread for policy design.

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Analysis of a time-delayed HIV/AIDS epidemic model with education campaigns


Complex dynamics in a discrete SIS epidemic model with Ricker-type recruitment and disease-induced death

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An SIS epidemic model with time delay and stochastic perturbation on heterogeneous networks.


Stochastic Delay Differential Model for Coronavirus Infection COVID-19

Reproduction Number sentence examples within free equilibrium point



A mathematical and parametric study of epidemiological smoking model: a deterministic stability and optimality for solutions


Mathematical modeling with optimal control analysis of social media addiction

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Modeling the impact of early interventions on the transmission dynamics of coronavirus infection.


Modeling the impact of early interventions on the transmission dynamics of coronavirus infection

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Quantifying the transmission advantage associated with N501Y substitution of SARS-CoV-2 in the United Kingdom: An early data-driven analysis.


Regional probabilistic situational awareness and forecasting of COVID-19

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Dynamical Analysis of Transmission of Hepatitis B and C Viruses with External Source of disease by Mathematical Model


Qualitative and Quantitative study of Zika virus epidemic model under Caputo’s fractional differential operator

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Modeling and stability analysis of the spread of novel coronavirus disease COVID-19


Estimates of regional infectivity of COVID-19 in the United Kingdom following imposition of social distancing measures

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Computational modeling of human papillomavirus with impulsive vaccination


Threshold Dynamics in a Model for Zika Virus Disease with Seasonality

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A Hybrid Modeling Technique of Epidemic Outbreaks with Application to COVID-19 Dynamics in West Africa


A Hybrid Modelling Technique of Epidemic Outbreaks With Application to COVID-19 Dynamics in West Africa

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Adaptive Susceptible-Infectious-Removed Model for Continuous Estimation of the COVID-19 Infection Rate and Reproduction Number in the United States: Modeling Study


Mathematical Transmission of HIV/AID with Early Treatment

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The 2020 SARS-CoV-2 epidemic in England: key epidemiological drivers and impact of interventions


Key epidemiological drivers and impact of interventions in the 2020 SARS-CoV-2 epidemic in England

Reproduction Number sentence examples within infectious disease epidemiology



Nine-month Trend of Time-Varying Reproduction Numbers of COVID-19 in West of Iran.


Determination of Basic Reproduction Numbers using Transition Intensities Multi-state SIRD Model for COVID-19 in Indonesia

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A fractional-order compartmental model for the spread of the COVID-19 pandemic


A Control Based Mathematical Model for the Evaluation of Intervention Lines in COVID-19 Epidemic Spread: The Italian Case Study

Reproduction Number sentence examples within case fatality ratio



Assessing the impact of non-pharmaceutical interventions on the transmissibility and severity of COVID-19 during the first five months in the Western Pacific Region


Country differences in transmissibility, age distribution and case-fatality of SARS-CoV-2: a global ecological analysis

Reproduction Number sentence examples within critical wave speed



Traveling Wave Solutions for a Class of Discrete Diffusive SIR Epidemic Model


Traveling waves in cooperative predation: relaxation of sublinearity

Reproduction Number sentence examples within free steady state



Influence of environmental pollution to a waterborne pathogen model: Global dynamics and asymptotic profiles


Mathematical model of SIR epidemic system (COVID-19) with fractional derivative: stability and numerical analysis

Reproduction Number sentence examples within traveling wave solution



Traveling wave solution for a diffusive simple epidemic model with a free boundary


Traveling waves of a nonlocal dispersal SEIR model with standard incidence

Reproduction Number sentence examples within virus genetic diversity



Characterizing the Countrywide Epidemic Spread of Influenza A(H1N1)pdm09 Virus in Kenya between 2009 and 2018


Characterizing the countrywide epidemic spread of influenza A(H1N1)pdm09 virus in Kenya between 2009 and 2018

Reproduction Number sentence examples within minimal wave speed



Traveling waves of a diffusive SIR epidemic model with general nonlinear incidence and infinitely distributed latency but without demography


Propagation dynamics for a time-periodic reaction–diffusion SI epidemic model with periodic recruitment

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Within and between classroom transmission patterns of seasonal influenza among primary school students in Matsumoto city, Japan


Within and between classroom transmission patterns of seasonal influenza and implications for pandemic management strategies at schools

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Analysis of a Virus Model with Cure Rate, General Incidence Function and Time Delay


Epidemic models with discrete state structures☆

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Estimated transmissibility and impact of SARS-CoV-2 lineage B.1.1.7 in England


Rejoinder of “The timing and effectiveness of implementing mild interventions of COVID-19 in large industrial regions via a synthetic control method”

Reproduction Number sentence examples within generation matrix method



A fractional‐order model of coronavirus disease 2019 (COVID‐19) with governmental action and individual reaction


An SIR epidemic model for COVID-19 spread with fuzzy parameter: the case of Indonesia

Reproduction Number sentence examples within local asymptotic stability



On an SE(Is)(Ih)AR epidemic model with combined vaccination and antiviral controls for COVID-19 pandemic


Dynamic analysis of a SIQR epidemic model considering the interaction of environmental differences

Reproduction Number sentence examples within first epidemic wave



SIARD model and effect of lockdown on the dynamics of COVID-19 disease with non total immunity


Reconstruction of the transmission dynamics of the first COVID-19 epidemic wave in Thailand

Reproduction Number sentence examples within stable disease free



Analysis of time delayed Rabies model in human and dog populations with controls


Mathematical analysis of a model for Chlamydia and Gonorrhea codynamics with optimal control

Reproduction Number sentence examples within nontrivial traveling wave



Traveling waves for a two-group epidemic model with latent period and bilinear incidence in a patchy environment

Reproduction Number sentence examples within c 1 ⁎



Existence of traveling waves for a nonlocal dispersal SIR epidemic model with treatment

Reproduction Number sentence examples within unique endemic equilibrium



Dynamics of an SIRS model with age structure and two delays

Reproduction Number sentence examples within peak infectious viral



Modeling Within-Host Dynamics of SARS-CoV-2 Infection: A Case Study in Ferrets

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Mathematical modeling and optimal control analysis of COVID-19 in Ethiopia

Reproduction Number sentence examples within acute respiratory syndrome



Human Mobility and Epidemic Evolution

Reproduction Number sentence examples within Basic Reproduction Number



Mathematical analysis of a within-host model of SARS-CoV-2


Mathematical model of schistosomiasis with health education and molluscicide intervention

Reproduction Number sentence examples within Effective Reproduction Number



COVID-19: Short term prediction model using daily incidence data


Inferring UK COVID‐19 fatal infection trajectories from daily mortality data: Were infections already in decline before the UK lockdowns?

Reproduction Number sentence examples within Varying Reproduction Number



Containing the Transmission of COVID-19: A Modeling Study in 160 Countries


Modelling the association between COVID-19 transmissibility and D614G substitution in SARS-CoV-2 spike protein: using the surveillance data in California as an example

Reproduction Number sentence examples within Control Reproduction Number



Assessment of the COVID-19 Vaccine Program: Impact of the No Mask Mandate Executive Order in the State of Texas


Mathematical assessment of the role of denial on COVID-19 transmission with non-linear incidence and treatment functions

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Predicted dominance of variant Delta of SARS-CoV-2 before Tokyo Olympic Games, Japan, July 2021


COVID-19 epidemic scenarios into 2021 based on observed key superdispersion events

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Hospitalization as reliable indicator of second wave COVID-19 pandemic in eight European countries


COVID-19: On the Disparity in Outcomes Between Military and Civilian Populations

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COVID-19 spread and Weather in U.S. states: a cross-correlative study on summer-autumn 2020.


COVID-19 Time-varying Reproduction Numbers Worldwide: An Empirical Analysis of Mandatory and Voluntary Social Distancing

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Role of meteorological factors in the transmission of SARS-CoV-2 in the United States


Transmission of SARS-CoV-2 Lineage B.1.1.7 in England: Insights from linking epidemiological and genetic data