Modelling the dynamics of bluetongue disease and the effect of seasonality

DOI10.1007/s11538-014-9989-8zbMath1306.34127OpenAlexW2055790112WikidataQ42204428 ScholiaQ42204428MaRDI QIDQ467738

Hayley O'Farrell, Stephen A. Gourley

Publication date: 5 November 2014

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-014-9989-8

zbMATH Keywords

seasonalstabilitydelayperiodicbluetongue

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (5)

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 ⋮ Dynamics of a Periodic Bluetongue Model with a Temperature-Dependent Incubation Period ⋮ Blue tongue -- a modelling examination of fundamentals -- seasonality and chaos

Cites Work

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• Seasonal spread and control of bluetongue in cattle
• Positive periodic solutions of functional differential equations
• Stability and Persistence in a Model for Bluetongue Dynamics
• Spatiotemporal Distributions of Migratory Birds: Patchy Models with Delay

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