On the quasi-stationary distribution of the Ross malaria model

DOI10.1016/0025-5564(91)90004-3zbMath0739.92018OpenAlexW2034385285WikidataQ43456736 ScholiaQ43456736MaRDI QIDQ1183916

Ingemar Nåsell

Publication date: 28 June 1992

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(91)90004-3

zbMATH Keywords

perturbation theorynumerical comparisonsquasi-stationary distributionbivariate Markov chainjoint stationary distribution of the approximating processstochastic version of the classical Ross malaria model

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of branching processes (60J85) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

Related Items (7)

Stability and Hopf bifurcations of nonlinear delay malaria epidemic model ⋮ A stochastic vector-borne epidemic model: quasi-stationarity and extinction ⋮ Superinfection and the hypnozoite reservoir for \textit{Plasmodium vivax}: a general framework ⋮ Extinction in host-vector infection models and the role of heterogeneity ⋮ An iterative aggregation/disaggregation procedure for modelling the long-term behaviour of continuous-time evanescent random processes ⋮ Stochastic effects on endemic infection levels of disseminating versus local contacts ⋮ Quasi-stationary distributions for discrete-state models

Cites Work

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• On the distribution of the time to extinction in the stochastic logistic population model
• Quasi–stationary distributions in Markov population processes
• Quasi-stationary distributions of birth-and-death processes
• On the Extinction of theS–I–Sstochastic logistic epidemic
• Some Properties of Power Sums of Truncated Normal Random Variables

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