The positivity of solutions to Caputo fractional-order SEIR models

DOI10.1216/JIE.2023.35.487MaRDI QIDQ6499437

Xuemeng Fan, Cong Wu, Tong Tang, Bairong Shen

Publication date: 8 May 2024

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

zbMATH Keywords

positivity of solutionsCaputo fractional-order SEIR modelnonlocality of Caputo fractional differential operators

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

Cites Work

• Monotonicity of functions and sign changes of their Caputo derivatives
• Which functions are fractionally differentiable?
• The monotonic property and stability of solutions of fractional differential equations
• Global stability for delay SIR and SEIR epidemic models with nonlinear incidence rate
• Generalized Taylor's formula
• The effect of vaccines on backward bifurcation in a fractional order HIV model
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Analysis of a fractional SEIR model with treatment
• Global stability for the SEIR model in epidemiology
• Stability of a fractional order SEIR model with general incidence
• The continuation of solutions to systems of Caputo fractional order differential equations
• Monotonicity and convexity results for a function through its Caputo fractional derivative
• A fractional order epidemic model for the simulation of outbreaks of influenza A(H1N1)
• A GENERAL COMPARISON PRINCIPLE FOR CAPUTO FRACTIONAL-ORDER ORDINARY DIFFERENTIAL EQUATIONS
• Forecast analysis of the epidemics trend of COVID-19 in the USA by a generalized fractional-order SEIR model

This page was built for publication: The positivity of solutions to Caputo fractional-order SEIR models