An SIR-dengue transmission model with seasonal effects and impulsive control
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Publication:2408689
DOI10.1016/j.mbs.2017.04.005zbMath1378.92076OpenAlexW2607083325WikidataQ39372172 ScholiaQ39372172MaRDI QIDQ2408689
Joseph Páez Chávez, Karunia Putra Wijaya, Stefan Siegmund, Thomas B. Götz
Publication date: 13 October 2017
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mbs.2017.04.005
optimal controlnumerical continuationimpulsive controlnon-smooth dynamical systemepidemic modelingmosquito-borne disease
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Cites Work
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- Estimation of the basic reproductive ratio for dengue fever at the take-off period of dengue infection
- The basic reproduction number \(\mathcal R_0\) and effectiveness of reactive interventions during dengue epidemics: the 2002 dengue outbreak in Easter Island, Chile
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Existence of periodic solutions of nonlinear systems of differential equations with impulse effect
- An optimal control problem arising from a dengue disease transmission model
- Piecewise-smooth dynamical systems. Theory and applications
- Complex behaviour in a dengue model with a seasonally varying vector population
- Bifurcation analysis of a family of multi-strain epidemiology models
- Partial cross-enhancement in models for dengue epidemiology
- A simple periodic-forced model for dengue fitted to incidence data in Singapore
- Numerical continuation methods for dynamical systems. Path following and boundary value problems.
- Seasonality effects on dengue: basic reproduction number, sensitivity analysis and optimal control
- Advances in mosquito dynamics modeling
- TC-HAT ($\widehat{TC}$): A Novel Toolbox for the Continuation of Periodic Trajectories in Hybrid Dynamical Systems
- Recipes for Continuation
- Time-scale separation and centre manifold analysis describing vector-borne disease dynamics
- SlideCont: An Auto97 driver for bifurcation analysis of Filippov systems
- The potential impact of vaccination on the dynamics of dengue infections
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