Global stability for fractional diffusion equations in biological systems

DOI10.1155/2020/5476842zbMath1445.92122OpenAlexW3046985119MaRDI QIDQ2205367

Khalid Hattaf, Noura Yousfi

Publication date: 20 October 2020

Published in: Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/5476842

Mathematics Subject Classification ID

Epidemiology (92D30) Global stability of solutions to ordinary differential equations (34D23) Fractional ordinary differential equations (34A08) Systems biology, networks (92C42)

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Cites Work

• Global stability for reaction-diffusion equations in biology
• The effect of vaccines on backward bifurcation in a fractional order HIV model
• Stability analysis of a virus dynamics model with general incidence rate and two delays
• Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems
• Qualitative analysis of a generalized virus dynamics model with both modes of transmission and distributed delays
• A fractional order SIR epidemic model with nonlinear incidence rate
• Modeling the mechanisms of acute hepatitis B virus infection
• Volterra-type Lyapunov functions for fractional-order epidemic systems
• Lyapunov functions for fractional order systems
• A delayed SIR epidemic model with a general incidence rate

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