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

 

Đã lưu trong:
Chi tiết về thư mục
Nhiều tác giả: Sánchez Peña, Fabio Ariel, Calvo Alpízar, Juan Gabriel, Segura Ugalde, Esteban, Feng, Zhilan
Định dạng: artículo original
Ngày xuất bản:2019
Miêu tả: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.
Quốc gia:Kérwá
Tổ chức giáo dục:Universidad de Costa Rica
Repositorio:Kérwá
Ngôn ngữ:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/83420
Truy cập trực tuyến:https://www.sciencedirect.com/science/article/pii/S0898122119303244
https://hdl.handle.net/10669/83420
Từ khóa:Backward bifurcation
Age-structured model
Epidemic models
Finite difference methods