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Erschienen in:
2015 | OriginalPaper | Buchkapitel
Impact of Excess Mortality on the Dynamics of Diseases Spread by Ectoparasites
verfasst von : Attila Dénes, Gergely Röst
Erschienen in: Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science
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Abstract
In this chapter, we generalize our earlier model for the spread of ectoparasites and diseases transmitted by them by including disease-induced mortality. The qualitative behavior of the system is similar to that of the original model: three reproduction numbers determine which of the four possible equilibria is globally asymptotically stable. We conclude that a moderate mortality decreases the size of the population, while a high mortality leads to the eradication of the infection. The main tools used for the proofs include persistence theory, Lyapunov–LaSalle theory and Dulac’s criteria.