A combination of differential equations and convolution in understanding the spread of an epidemic

DOI10.1007/BF02703780zbMath1076.92019OpenAlexW2092135713MaRDI QIDQ2574850

Masayuki Kakehashi, Arni S. R. Srinivasa Rao

Publication date: 2 December 2005

Published in: Sādhanā (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02703780

zbMATH Keywords

estimationconvolutionHIVlikelihood equation

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Dynamical systems in biology (37N25) Physiology (general) (92C30) Computational methods for problems pertaining to biology (92-08)

Related Items (3)

Optimization methods for decision making in disease prevention and epidemic control ⋮ An approximate solution for the static beam problem and nonlinear integro-differential equations ⋮ Incubation periods under various anti-retroviral therapies in homogeneous mixing and age-structured dynamical models: a theoretical approach

Cites Work

• Unnamed Item
• Unnamed Item
• Statistical inference about the shape parameter of the Weibull distribution
• Multivariate logistic distributions
• Limiting theorems on `case' reporting.
• Incubation-time distribution in back-calculation applied to HIV/AIDS data in India
• Parametric models for incubation distribution in presence of left and right censoring.
• A Method for Obtaining Short-Term Projections and Lower Bounds on the Size of the AIDS Epidemic
• Validity of simple pair formation model for HIV spread with realistic parameter setting
• The Epidemiology of HIV Infection: Variable Incubation Plus Infectious Periods and Heterogeneity in Sexual Activity
• Exact Moments and Product Moments of the Order Statistics from the Truncated Logistic Distribution
• Weibull distributions when the shape parameter is defined.

This page was built for publication: A combination of differential equations and convolution in understanding the spread of an epidemic