A partial differential equation model with age-structure and nonlinear recidivism: Conditions for a backward bifurcation and a general numerical implementation

 

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Bibliographic Details
Authors: Sánchez Peña, Fabio Ariel, Calvo Alpízar, Juan Gabriel, Segura Ugalde, Esteban, Feng, Zhilan
Format: artículo original
Publication Date:2019
Description:We formulate an age-structured three-staged nonlinear partial differential equation model that features nonlinear recidivism to the infected (infectious) class from the temporarily recovered class. Equilibria are computed, as well as local and global stability of the infection-free equilibrium. As a result, a backward-bifurcation exists under necessary and sufficient conditions. A generalized numerical framework is established and numerical experiments are explored for two positive solutions to exist in the infectious class.
Country:Kérwá
Institution:Universidad de Costa Rica
Repositorio:Kérwá
Language:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/83420
Online Access:https://www.sciencedirect.com/science/article/pii/S0898122119303244
https://hdl.handle.net/10669/83420
Keyword:Backward bifurcation
Age-structured model
Epidemic models
Finite difference methods