Thresholds and initial growth rates in a model of parasitic infection

DOI10.1214/aoap/1035463323zbMath0871.92024OpenAlexW2108010226MaRDI QIDQ1354832

C. J. Luchsinger, J. A. P. Heesterbeek, Andrew David Barbour

Publication date: 5 October 1997

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1035463323

zbMATH Keywords

basic reproduction numberthresholdparasitic infectiondeterministic model

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of branching processes (60J85) Ecology (92D40) General theory for ordinary differential equations (34A99)

Related Items (2)

Survival of branching random walks in random environment ⋮ The expected degree distribution in transient duplication divergence models

Cites Work

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• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• A host-parasite model yielding heterogeneous parasite loads
• Sufficient conditions for regularity, recurrence and ergodicity of Markov processes
• Criteria for classifying general Markov chains
• The concept of R_o in epidemic theory
• Conditions for integrability of Markov chains
• On the Stochastic Matrices Associated with Certain Queuing Processes

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