A partial differential equation model with age-structure and nonlinear recidivism: Conditions for a backward bifurcation and a general numerical implementation
Fecha
2019-12-15
Tipo
artículo original
Autores
Sánchez Peña, Fabio Ariel
Calvo Alpízar, Juan Gabriel
Segura Ugalde, Esteban
Feng, Zhilan
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Resumen
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.
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Palabras clave
Backward bifurcation, Age-structured model, Epidemic models, Finite difference methods