Parasite population dynamics within a dynamic host population

DOI10.1007/BF00333144zbMath0708.92020OpenAlexW2021457209WikidataQ60029344 ScholiaQ60029344MaRDI QIDQ920879

Klaus Dietz, Eike Born

Publication date: 1989

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00333144

zbMATH Keywords

host populationexplicit expressionsexistence of limiting distributionsheterogeneous infection riskimmigration-birth-death-emigration processimmigration-death processparasite induced mortalityparasite loadparasite populationsize of the host population

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of branching processes (60J85) Population dynamics (general) (92D25)

Related Items (2)

Kolmogorov's differential equations and positive semigroups on first moment sequence spaces ⋮ A class of branching processes with two dependent types

Cites Work

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• Population dynamics of killing parasites which reproduce in the host
• Nonlinear hyperbolic partial differential equations for the dynamics of parasite populations
• Population processes allowing emigration of families
• Some properties of a branching process with group immigration and emigration
• Linear birth and death processes with killing
• Birth, immigration and catastrophe processes
• Spectral theory of branching processes. I
• A Combinatorial Method in the Theory of Queues

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