Analysis of a model of bovine brucellosis using singular perturbations

DOI10.1007/BF00160180zbMath0809.92019OpenAlexW2055728990WikidataQ52385965 ScholiaQ52385965MaRDI QIDQ1343129

Jorge González-Guzmán, Naulin, Raúl

Publication date: 31 January 1995

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

Full work available at URL: https://doi.org/10.1007/bf00160180

zbMATH Keywords

asymptotic behaviorthreshold parameterasymptotically autonomous systemssusceptiblesbasic reproductive rateaborting infectiousbovine brucellosis spreadepizootiological outbreakimmune by vaccinationinfectious carriersper capita death rates

Mathematics Subject Classification ID

Epidemiology (92D30) Singular perturbations of ordinary differential equations (34D15) Medical epidemiology (92C60)

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Cites Work

• An epidemiological model for direct and indirect transmission of typhoid fever
• Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
• Qualitative analyses of communicable disease models
• Properties of solutions of ordinary differential equations with small parameters
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