Related Experiment Video
Updated: Oct 31, 2025

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data
Published on: December 9, 2015
Power-series solution of compartmental epidemiological models
H M Srivastava1,2,3,4, I Area5, J J Nieto6
1Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada.
Abstract:
In this work, power-series solutions of compartmental epidemiological models are used to provide alternate methods to solve the corresponding systems of nonlinear differential equations. A simple and classical SIR compartmental model is considered to reveal clearly the idea of our approach. Moreover, a SAIRP compartmental model is also analyzed by using the same methodology, previously applied to the COVID-19 pandemic. Numerical experiments are performed to show the accuracy of this approach.
Related Concept Videos
Mechanistic Models: Compartment Models in Individual and Population Analysis
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
Model Approaches for Pharmacokinetic Data: Compartment Models
Two primary types of compartment models are recognized: mammillary and catenary. The more...
Three-Compartment Open Model
Two-Compartment Open Model: Extravascular Administration
The absorption exponent (ka) indicates the speed at which the drug...
Compartment Models: Single-Compartment Model

