Publisher： Edp Sciences
E-ISSN： 1760-6101|12|2|58-83
ISSN： 0973-5348
Source： Mathematical Modelling of Natural Phenomena , Vol.12, Iss.2, 2017-04, pp. : 58-83
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Abstract
West Nile virus (WNV) is maintained in transmission cycles involving bird reservoir hosts and mosquito vectors. While several aspects of the infection cycle have been explored through mathematical models, relatively little attention has been paid to the theoretical effect of seasonal changes in host and vector densities. Here we consider a model for the transmission dynamics of WNV in a temperate climate, where mosquitoes are not active during winters, so that infection dynamics can be described through a sequence of discrete growing seasons. Within-season host and vector demography is described through phenomenological functions of time describing fertility, mortality and migration. Over-wintering of infection is assumed to occur through diapausing mosquito females, with or without vertical transmission.
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