Results 91 to 100 of about 929,882 (177)
Mathematical Biosciences and Engineering, 2009 Hantavirus, a zoonotic disease carried by wild rodents, is spread among rodents via direct contact and indirectly via infected rodent excreta in the soil.
Curtis L. Wesley +2 more
doaj +1 more source
Dynamics of a Nonlocal Dispersal SIS Epidemic Model [PDF]
arXiv, 2016 This paper is concerned with a nonlocal dispersal susceptible-infected-susceptible (SIS) epidemic model with Dirichlet boundary condition, where the rates of disease transmission and recovery are assumed to be spatially heterogeneous. We introduce a basic reproduction number $R_0$ and establish threshold-type results on the global dynamic in terms of ...
arxiv
Quantification of the South African Lockdown Regimes, for the SARS-CoV-2 Pandemic, and the Levels of Immunity They Require to Work [PDF]
arXiv, 2020 This research quantifies the various South African lockdown regimes, for the SARS-CoV-2 pandemic, in terms of the basic reproduction number, $r_0$. It further calculates the levels of immunity required for these selfsame lockdown regimes to begin to work and predicts perceived values, should infections have been underestimated by a factor of 10.
arxiv
Global stability and uniform persistence of the reaction-convection-diffusion cholera epidemic model [PDF]
Math. Biosci. Eng., 14, 2 (2017), 559--579, 2017 We study the global stability issue of the reaction-convection-diffusion cholera epidemic PDE model and show that the basic reproduction number serves as a threshold parameter that predicts whether cholera will persist or become globally extinct. Specifically, when the basic reproduction number is beneath one, we show that the disease-free-equilibrium ...
arxiv
Finding Reproduction Numbers for Epidemic Models & Predator-Prey Models of Arbitrary Finite Dimension Using The Generalized Linear Chain Trick [PDF]
arXiv, 2020 Reproduction numbers, like the basic reproduction number $\mathcal{R}_0$, play an important role in the analysis and application of dynamic models, including contagion models and ecological population models. One difficulty in deriving these quantities is that they must be computed on a model-by-model basis, since it is typically impractical to obtain ...
arxiv
Clinical Infectious Diseases, 2020 To date, no specific estimate of R0 for SARS-CoV-2 is available for healthcare settings. Using interindividual contact data, we highlight that R0 estimates from the community cannot translate directly to healthcare settings, with pre-pandemic R0 values ...
L. Temime +10 more
semanticscholar +1 more source
Global dynamics of a periodic SEIRS model with general incidence rate [PDF]
arXiv, 2017 We consider a family of periodic SEIRS epidemic models with a fairly general incidence rate and it is shown the basic reproduction number determines the global dynamics of the models and it is a threshold parameter for persistence. Numerical simulations are per- formed to estimate the basic reproduction number and illustrate our analytical findings ...
arxiv
Journal of Applied Sciences and Environmental Management, 2016 In this work we present an infection-age-structured mathematical model of AIDS disease dynamics and examine the endemic equilibrium state for stability.
T.T. Ashezua +2 more
doaj +1 more source
Estimation of the basic reproduction number of COVID-19 from the incubation period distribution. [PDF]
Eur Phys J Spec Top, 2022 Basnarkov L, Tomovski I, Avram F.
europepmc +2 more sources
Mathematical model for the control of infectious disease
Journal of Applied Sciences and Environmental Management, 2018 We proposed a mathematical model of infectious disease dynamics. The model is a system of first order ordinary differential equations. The population is partitioned into three compartments of Susceptible S(t) , Infected I(t) and Recovered R(t).
O.J. Peter +3 more
doaj +1 more source