ISSN:
1432-1416
Keywords:
Deterministic epidemic models
;
Helminths
;
(Non) autonomous systems
;
Threshold behaviour
;
Basic reproduction ratio
;
Heterogeneity
Source:
Springer Online Journal Archives 1860-2000
Topics:
Biology
,
Mathematics
Notes:
Abstract For parasites with a clearly defined life-cycle we give threshold quantities that determine the stability of the parasite-free steady state for autonomous and periodic deterministic systems formulated in terms of mean parasite burdens. We discuss the biological interpretations of the quantities, how to deal with heterogeneity in both parasite and host populations, how to incorporate the effects of periodic discontinuities, and the relation of the threshold quantities to the basic reproduction ratio R 0. Examples from the literature are given. The analysis of the periodic case extends easily to ‘micro-parasitic’ systems.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00176380
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