Geodesic
Stability analysis of a model for a vector-borne disease with an asymptomatic class
Mathematics and Education in Mathematics, Tome 50 (2021), pp. 144-149 Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library

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We introduce a model for a vector-borne disease with symptomatic and asymptomatic carrier classes described by a system of ordinary differential equations. We analyse the local and the global stability of the disease-free and the endemic equilibria using appropriately chosen Lyapunov functions. Представен е модел на векторно-предавана болест със симптомни и безсимптомни класове, описан със система обикновени диференциални уравнения. Анализират се локалната и глобалната устойчивост на равновесията на елиминирана и на ендемична болест с помощта на подходящо избрани функции на Ляпунов.
Keywords: vector-borne disease, dynamical systems, asymptotic analysis, Lyapunov stability, 92D30, 34D05, 34D23, векторно предавана болест, динамични системи, асимптотичен анализ, устойчивост по Ляпунов, 92D30, 34D05, 34D23 
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     author = {Rashkov, Peter},
     title = {Stability analysis of a model for a vector-borne disease with an asymptomatic class},
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     series = {Mathematics and Education in Mathematics},
     pages = {144--149},
     year = {2021},
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     url = {http://geodesic.mathdoc.fr/item/MEM_2021_50_a14/}
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Rashkov, Peter. Stability analysis of a model for a vector-borne disease with an asymptomatic class. Mathematics and Education in Mathematics, Tome 50 (2021), pp. 144-149. http://geodesic.mathdoc.fr/item/MEM_2021_50_a14/