Vaccination in density-dependent epidemic models.
This paper examines the effect of vaccination for an epidemic model where the death rate depends on the number of individuals in the population. The basic model which is described is based on measles or other childhood diseases in developing countries or viral diseases such as rabies in animal populations. An equilibrium analysis of the model and the local stability of small perturbations about the equilibrium values are discussed. The biological implications of these results are examined and similar results presented for modifications of the basic model.
Greenhalgh
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Department of Statistics and Modelling Science, University of Strathclyde, Glasgow, U.K.
D000818:Animals; D004198:Disease Susceptibility / Q000453:epidemiology / Q000662:veterinary; D006801:Humans; D008433:Mathematics; D008954:Models, Biological; D009026:Mortality; D011156:Population Density; D014611:Vaccination / Q000662:veterinary; D014777:Virus Diseases / Q000453:epidemiology / Q000517:prevention & control* / Q000662:veterinary