# Computational and Mathematical Methods to Estimate the Basic Reproduction Number and Final Size for Single-Stage and Multistage Progression Disease Models for Zika with Preventative Measures.

We present new mathematical models that include the impact of using selected preventative measures such as insecticide treated nets (ITN) in controlling or ameliorating the spread of the Zika virus. For these models, we derive the basic reproduction number and sharp estimates for the final size relation. We first present a single-stage model which is later extended to a new multistage model for Zika that incorporates more realistic incubation stages for both the humans and vectors. For each of these models, we derive a basic reproduction number and a final size relation estimate. We observe that the basic reproduction number for the multistage model converges to expected values for a standard Zika epidemic model with fixed incubation periods in both hosts and vectors. Finally, we also perform several computational experiments to validate the theoretical results obtained in this work and study the influence of various parameters on the models. PMID: 28894473 [PubMed - in process]
Source: Computational and Mathematical Methods in Medicine - Category: Statistics Tags: Comput Math Methods Med Source Type: research

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Source: IntraHealth International - Category: International Medicine & Public Health Authors: Source Type: news
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Source: Sub-Cellular Biochemistry - Category: Biochemistry Authors: Tags: Subcell Biochem Source Type: research
Zika virus (ZIKV) had spread rapidly in the past few years in southern hemisphere where dengue virus (DENV) had caused epidemic problems for over half a century. The high degree of cross-reactivity of Envelope...
Source: BMC Infectious Diseases - Category: Infectious Diseases Authors: Tags: Research article Source Type: research
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Source: Proceedings of the National Academy of Sciences - Category: Science Authors: Tags: Social Sciences Source Type: research
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Source: Antiviral Research - Category: Virology Authors: Tags: Antiviral Res Source Type: research
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Source: TIME: Health - Category: Consumer Health News Authors: Tags: Uncategorized community health workers Dr. Raj Panjabi ebola Health Care Last Mile Health medicine TIME 100 TIME 100 x WeWork Speaker Series Zika Source Type: news
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Source: Cadernos de Saude Publica - Category: International Medicine & Public Health Authors: Tags: Cad Saude Publica Source Type: research
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Source: PLoS Neglected Tropical Diseases - Category: Tropical Medicine Authors: Source Type: research
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Source: Advances in Experimental Medicine and Biology - Category: Research Tags: Adv Exp Med Biol Source Type: research
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Source: Advances in Experimental Medicine and Biology - Category: Research Tags: Adv Exp Med Biol Source Type: research