scholarly journals Assess Medical Screening and Isolation Measures Based on Numerical Method for COVID-19 Epidemic Model in Japan

2022 ◽  
Vol 130 (2) ◽  
pp. 841-854
Author(s):  
Zhongxiang Chen ◽  
Huijuan Zha ◽  
Zhiquan Shu ◽  
Juyi Ye ◽  
Jiaji Pan
Keyword(s):  
Numerical Method ◽  
Epidemic Model ◽  
Medical Screening

scholarly journals Age-structured delayed SIPCV epidemic model of HPV and cervical cancer cells dynamics I. Numerical method

BIOMATH ◽  
2021 ◽  
Vol 10 (2) ◽  
pp. 2110027
Author(s):  
Vitalii Akimenko ◽  
Fajar Adi-Kusumo
Keyword(s):  
Numerical Method ◽  
Cancer Cells ◽  
Epidemic Model ◽  
Hyperbolic Equations ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Second Order ◽  
Phase Portraits ◽  
Order Of Accuracy ◽  
Age Structured

The numerical method for simulation dynamics of nonlinear epidemic model of age-structured sub-populations of susceptible, infectious, precancerous and cancer cells and unstructured population of human papilloma virus (HPV) is developed (SIPCV model). Cell population dynamics is described by the initial-boundary value problem for the delayed semi-linear hyperbolic equations with age- and time-dependent coefficients and HPV dynamics is described by the initial problem for nonlinear delayed ODE. The model considers two time-delay parameters: the time between viral entry into a target susceptible cell and the production of new virus particles, and duration of the first stage of delayed immune response to HPV population growing. Using the method of characteristics and method of steps we obtain the exact solution of the SIPCV epidemic model in the form of explicit recurrent formulae. The numerical method designed for this solution and used the trapezoidal rule for integrals in recurrent formulae has a second order of accuracy. Numerical experiments with vanished mesh spacing illustrate the second order of accuracy of numerical solution with respect to the benchmark solution and show the dynamical regimes of cell-HPV population with the different phase portraits.

scholarly journals The Positivity of Numerical Method for Susceptible-Infected-Recovered-Susceptible Epidemic Model

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Feng Feng ◽  
Zong Wang
Keyword(s):  
Analytical Solution ◽  
Numerical Solution ◽  
Numerical Method ◽  
Epidemic Model ◽  
Numerical Technique ◽  
Environmental Perturbations ◽  
Sirs Epidemic Model ◽  
Sirs Model ◽  
Balanced Implicit Method ◽  
Stochastic Sirs Epidemic Model

Sudden environmental perturbations may affect the positivity of the solution of the susceptible-infected-recovered-susceptible (SIRS) model. Most of the SIRS epidemic models have no analytical solution. Thus, in order to find the appropriate solution, the numerical technique becomes more essential for us to solve the dynamic behavior of epidemics. In this paper, we are concerned with the positivity of the numerical solution of a stochastic SIRS epidemic model. A new numerical method that is the balanced implicit method (BIM) is set, which preserves the positivity under given conditions. The BIM method can maintain positive numerical solution. An illustrative numerical instance is presented for the numerical BIM of the stochastic SIRS model.

scholarly journals A Structure Preserving Numerical Method for Solution of Stochastic Epidemic Model of Smoking Dynamics

2020 ◽  
Vol 65 (1) ◽  
pp. 263-278
Author(s):  
Ali Raza ◽  
Muhammad Rafiq ◽  
Nauman Ahmed ◽  
Ilyas Khan ◽  
Kottakkaran Sooppy Nisar ◽  
...  
Keyword(s):  
Numerical Method ◽  
Epidemic Model ◽  
Structure Preserving ◽  
Stochastic Epidemic ◽  
Stochastic Epidemic Model
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