A partial differential equation model with age-structure and nonlinear recidivism: Conditions for a backward bifurcation and a general numerical implementation-Reference-Cited by-同舟云学术

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

Published:2019-12 Issue:12 Volume:78 Page:3916-3930
ISSN:0898-1221
Container-title:Computers & Mathematics with Applications
language:en
Short-container-title:Computers & Mathematics with Applications

Author:

Sanchez Fabio,Calvo Juan G.^ORCID,Segura Esteban,Feng Zhilan

Funder

Vice-Rectory for Research, University of Costa Rica

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference23 articles.

1. Global results for an epidemic model with vaccination that exhibits backward bifurcation;Arino;SIAM J. Appl. Math.,2003

2. Backward bifurcations in simple vaccination models;Brauer;J. Math. Anal. Appl.,2004

3. Backward bifurcations in simple vaccination/treatment models;Brauer;J. Biol. Dyn.,2011

4. Dynamical models of tuberculosis and their applications;Castillo-Chavez;Math. Biosci. Eng.,2004

5. A model for tuberculosis with exogenous reinfection;Feng;Theor. Popul. Biol.,2000

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Dynamical analysis and optimal control of an age‐structured epidemic model with asymptomatic infection and multiple transmission pathways;Mathematical Methods in the Applied Sciences;2024-04-08

2. A nonlinear relapse model with disaggregated contact rates: Analysis of a forward-backward bifurcation;Infectious Disease Modelling;2023-09

3. Dynamical analysis of an age-structured dengue model with asymptomatic infection;Journal of Mathematical Analysis and Applications;2023-08

4. Rich dynamics of a Filippov plant disease model with time delay;Communications in Nonlinear Science and Numerical Simulation;2022-11

5. Computer Data Encryption System Based on Nonlinear Partial Differential Equations;Mobile Information Systems;2022-08-19