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Parasites were maintained infective by periodical macrophage infection.
rhodesiense [ 11], which has the capacity to become human infective by transfer of a single gene for human serum resistance (SRA) [ 12].
Donor individuals were A. bipunctata females carrying this species' native male-killing Spiroplasma, which displays perfect vertical transmission in the laboratory and has previously been shown infective by injection [ 33].
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Following previous modeling work (e.g. [ 7, 8, 12, 13]), we assume a constant recruitment rate λ of the new infectives, infected by the infectives who did not know that they were infected.
Tissues were analysed for infectious virus by plaque assay and latent infection by infective centre assay as previous described [28].
The intervention was evaluated on the basis of the reduction of the Anopheles density, infective bites by house by month and the prevalence of malaria infection.
For the discrete epidemic model with immigration of infectives, by adopting the means of the nonstandard discretization method from continuous epidemic, Jang and Eiaydi in [12] studied the globally asymptotic stability of the disease-free equilibrium, the locally asymptotic stability of the endemic equilibrium and the strong persistence of the susceptible class.
An individual can be protected from a P. falciparum infection if they receive about a thousand bites from mosquitoes that carry a version of the parasite rendered non-infective by a dose of X-ray irradiation.
HIV-1 (MN CL4/CEMX1744 (T1) prepared and rendered non-infective by aldrithiol-2 treatment as previously described [ 51, 52] was a kind gift of the National Cancer Institute, NIH.
Since S t)/ N t)≤1, we can dominate the number of infectives by an "upper" linear branching process I(U )(t) with I(U )(0)=1, and having linear birth rate κI(U )(t) and linear death rate I(U )(t).
We also assume that the infection by detected infectives is negligible when compared with the infection rate by the unknown infectives, since it was estimated in [ 12], using Cuban HIV/AIDS data between 1986-2000, thet the infection rate by the known infectives in Cuba is only around 5.79% (SD = 3.55) of that of unknown infectives.
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