Review of fractional epidemic models
From MaRDI portal
Publication:2247272
DOI10.1016/j.apm.2021.03.044zbMath1481.92135OpenAlexW3154982291MaRDI QIDQ2247272
Fawang Liu, Yuli Chen, Qiang Yu, Tian-zeng Li
Publication date: 17 November 2021
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2021.03.044
parameter estimationepidemic modelsimplicit numerical methodfractional order differential equationshybrid simplex search and particle swarm optimisationmulti-term epidemic models
Epidemiology (92D30) Fractional derivatives and integrals (26A33) Qualitative investigation and simulation of ordinary differential equation models (34C60) Fractional ordinary differential equations (34A08)
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Cites Work
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- A numeric-analytic method for approximating a giving up smoking model containing fractional derivatives
- The fractional SIRC model and influenza A
- Global dynamics of a mathematical model on smoking
- A generic model for a single strain mosquito-transmitted disease with memory on the host and the vector
- Multi-term time-fractional Bloch equations and application in magnetic resonance imaging
- Qualitative behavior of giving up smoking models
- Dynamics of dengue epidemics when using optimal control
- Fractional-order nonlinear systems. Modeling, analysis and simulation
- Threshold dynamics of a bacillary dysentery model with seasonal fluctuation
- Optimal campaign in the smoking dynamics
- Novel techniques in parameter estimation for fractional dynamical models arising from biological systems
- Multiple transmission pathways and disease dynamics in a waterborne pathogen model
- A mathematical model of dengue transmission with memory
- Basic theory of fractional differential equations
- Nonstandard numerical methods for a mathematical model for influenza disease
- A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
- Fractional calculus models of complex dynamics in biological tissues
- Global attractivity and permanence of a SVEIR epidemic model with pulse vaccination and time delay
- A mathematical model for the global spread of influenza
- Numerical solution of the space fractional Fokker-Planck equation.
- Mathematical biology. Vol. 1: An introduction.
- Stochastic models of some endemic infections
- On fractional order dengue epidemic model
- Analysis of the fractional order dengue transmission model: a case study in Malaysia
- On fractional SIRC model with \textit{Salmonella} bacterial infection
- Epidemic model of leptospirosis containing fractional order
- A fractional SEIR epidemic model for spatial and temporal spread of measles in metapopulations
- Front dynamics in fractional-order epidemic models
- A dynamic model for tuberculosis transmission and optimal treatment strategies in South Korea
- Approximate solution and analysis of smoking epidemic model with Caputo fractional derivatives
- Time fractional diffusion: A discrete random walk approach
- A model of HIV/AIDS with staged progression and amelioration
- A fractional order SIR epidemic model for dengue transmission
- Novel parameter estimation techniques for a multi-term fractional dynamical epidemic model of dengue fever
- Solving smoking epidemic model of fractional order using a modified homotopy analysis transform method
- Fractional optimal control of an HIV/AIDS epidemic model with random testing and contact tracing
- Novel analytical and numerical techniques for fractional temporal SEIR measles model
- Curtailing smoking dynamics: a mathematical modeling approach
- The SIRC model and influenza A
- An SVEIR model for assessing potential impact of an imperfect anti-SARS vaccine
- The Mathematics of Infectious Diseases
- Dengue disease, basic reproduction number and control
- A fractional order epidemic model for the simulation of outbreaks of influenza A(H1N1)
- Pre-symptomatic Influenza Transmission, Surveillance, and School Closings: Implications for Novel Influenza A (H1N1)
- Global Results for an Epidemic Model with Vaccination that Exhibits Backward Bifurcation
- Thermal wave model of bioheat transfer with modified Riemann–Liouville fractional derivative
- Some novel techniques of parameter estimation for dynamical models in biological systems
- Particle swarm optimization in electromagnetics
- A Simplex Method for Function Minimization