Determining the effects of transplacental and direct transmission on the probability of persistence in a bluetongue virus model in temperate and tropical regions

DOI10.1016/j.rinam.2020.100120zbMath1468.34071OpenAlexW3038985716MaRDI QIDQ831395

Joseph Y. T. Mugisha, Francis Mugabi, Kevin Jan Duffy, Obiora Cornelius Collins

Publication date: 11 May 2021

Published in: Results in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.rinam.2020.100120

zbMATH Keywords

persistencebluetongue virusdirect transmissionoverwinteringtransplacental transmission

Mathematics Subject Classification ID

Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Ordinary differential equations and systems with randomness (34F05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (4)

Optimal control analysis of bluetongue virus transmission in patchy environments connected by host and wind-aided midge movements ⋮ A stochastic model of fowl pox disease: estimating the probability of disease outbreak ⋮ Determining the effects of wind-aided midge movement on the outbreak and coexistence of multiple bluetongue virus serotypes in patchy environments ⋮ Exploring the dynamics of African swine fever transmission cycles at a wildlife-livestock interface

Cites Work

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• Mathematical assessment of the role of pre-exposure prophylaxis on HIV transmission dynamics
• Seasonal spread and control of bluetongue in cattle
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• Parameter-dependent transmission dynamics and optimal control of foot and mouth disease in a contaminated environment
• A stochastic model for malaria transmission dynamics
• Extinction thresholds in deterministic and stochastic epidemic models
• Reproduction numbers for infections with free-living pathogens growing in the environment
• Estimating the probability of an extinction or major outbreak for an environmentally transmitted infectious disease

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