Population dynamics of killing parasites which reproduce in the host |
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Authors: | K P Hadeler K Dietz |
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Institution: | (1) Lehrstuhl für Biomathematik, Universität Tübingen, Auf der Morgenstelle 28, D-7400 Tübingen, Germany;(2) Institut für Medizinische Biometrie, Universität Tübingen, Westbahnhofstr. 55, D-7400 Tübingen, Germany |
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Abstract: | For a parasitic infection in human hosts a model is derived from basic assumptions on the population structure of the host, in particular mortality depending on age and parasite load, and on the reproduction and transmission of parasites. The model assumes the form of a system of partial differential equations. The paper contains proofs of local and global existence and existence and uniqueness of nontrivial stationary states, and a discussion of the relation to birth and death processes and other models for parasitic infections. |
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Keywords: | Host-parasite-dynamics difierential mortality age dependence |
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