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Two epidemic threshold parameters are derived for the spread of a highly infectious disease in a community of households, where a household is any group whose members have frequent contacts with each other. It is assumed that the infection of any member of a household results in the infection of...
In the last decade important progress has been made regarding pattern recognition and generation of the phenomenon of phyllotaxis. Phyllotaxis, a central area in plant morphogenesis, proposes a challenge that reaches beyond the field of botany and whose resolution must be sought through...
Currently two polio vaccines, IPV and OPV, are in use which differ markedly in their epidemiological parameters. A simple epidemiological model in terms of ordinary differential equations is proposed to study the effects of vaccination campaigns using these vaccines. The numbers of interest are...
The model of radiation carcinogenesis, proposed earlier by Klebanov, Rachev, and Yakovlev (8) substantiates the employment of limiting forms of the latent time distribution at high dose values. Such distributions arise within the random minima framework, the two-parameter Weibull distribution...
A multitype stochastic epidemic model in which the infectivities and susceptibilities differ between subgroups is considered. To each infected are associated random effects of the infection, such as the development of a subsequent disease and the length of the infectivity period. Sums of the...
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