Seasonal spread and control of bluetongue in cattle

DOI10.1016/j.jtbi.2011.08.041zbMath1397.92623OpenAlexW1973726913WikidataQ51170347 ScholiaQ51170347MaRDI QIDQ1786828

Maud V. P. Charron, Michel Langlais, Henri Seegers, Pauline Ezanno

Publication date: 25 September 2018

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2011.08.041

zbMATH Keywords

sensitivity analysisvertical transmissionmathematical modellingvaccinationvector-borne disease

Mathematics Subject Classification ID

Epidemiology (92D30) Stability of solutions to ordinary differential equations (34D20)

Related Items (8)

Determining the effects of transplacental and direct transmission on the probability of persistence in a bluetongue virus model in temperate and tropical regions ⋮ Optimal control analysis of bluetongue virus transmission in patchy environments connected by host and wind-aided midge movements ⋮ Global dynamics of a nonlocal periodic reaction-diffusion model of bluetongue disease ⋮ Modelling the dynamics of bluetongue disease and the effect of seasonality ⋮ Dynamics of a Periodic Bluetongue Model with a Temperature-Dependent Incubation Period ⋮ Blue tongue -- a modelling examination of fundamentals -- seasonality and chaos ⋮ Determining the effects of wind-aided midge movement on the outbreak and coexistence of multiple bluetongue virus serotypes in patchy environments ⋮ Spatial models of vector-host epidemics with directed movement of vectors over long distances

Cites Work

• Threshold dynamics for compartmental epidemic models in periodic environments
• Global dynamics of a class of SEIRS epidemic models in a periodic environment
• On the final size of epidemics with seasonality
• Infectious disease persistence when transmission varies seasonally
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Approximation of the basic reproduction number \(R_{0}\) for vector-borne diseases with a periodic vector population
• The epidemic threshold of vector-borne diseases with seasonality
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