Explicit formulae for the Extrinsic incubation period
The EIP of each parasite, in the Briere parametrization, requires three parameters to be specified. The distributions of these parameters must be obtained using prior knowledge and the available data, together with statistical methods. We obtained parameter values describing the EIP using the Bayesian methods described above, for P. relictum, Haemoproteus and Leucocytozoon. The parameter values obtained together with the appropriate confidence interval are shown in Table 1. We display our results in Figure. 3, together with those derived earlier for P. falciparum and P. vivax by Catoret al . (2013).
For P. falciparum and P. vivax, we rederived the forms obtained by Cator et al . (2013) through these Bayesian methods. The work of Cator et al . (2013) used an alternative method involving simple curve-fitting using SPSS (IBM SPSS v20). We find exact consistency with these earlier results, demonstrating the validity of our numerical methods. Our results extrapolate from the limited data available, together with non-informative estimates of the relevant priors, to obtain what appear to be reasonable fits to the data, together with uncertainty bounds.