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• W2018121014 abstract "The aim of this paper is first to find interactions between compartments of hosts in the Ross-Macdonald Malaria transmission system. So, to make clearer this association we introduce the concordance measure and then the Kendall's tau and Spearman's rho. Moreover, since the population compartments are dependent, we compute their conditional distribution function using the Archimedean copula. Secondly, we get the vector population partition into several dependent parts conditionally to the fecundity and to the transmission parameters and we show that we can divide the vector population by using $p$-th quantiles and test the independence between the subpopulations of susceptibles and infecteds. Third, we calculate the $p$-th quantiles with the Poisson distribution. Fourth, we introduce the proportional risk model of Cox in the Ross-Macdonald model with the copula approach to find the relationship between survival functions of compartments." @default.
• W2018121014 created "2016-06-24" @default.
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• W2018121014 date "2013-01-01" @default.
• W2018121014 modified "2023-10-02" @default.
• W2018121014 title "Archimedean copula and contagion modeling in epidemiology" @default.
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• W2018121014 doi "https://doi.org/10.3934/nhm.2013.8.149" @default.
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