Open Access
2013 A Schistosomiasis Model with Mating Structure
Longxing Qi, Jing-an Cui
Abstr. Appl. Anal. 2013(SI18): 1-9 (2013). DOI: 10.1155/2013/741386


A schistosomiasis model is proposed including single schistosomes, paired schistosomes, snails, and the latent period of infected snails. A reasonable sex ratio of schistosomes and the minimum mating function are considered. A threshold condition determining the stability of the system is given, and the stability of equilibrium for the model is shown. The impact of the latent period of infected snails on schistosomiasis transmission can be found through numerical simulations. Finally, preferable control strategies are obtained by sensitivity analyses. Killing snails may be the preferred control measure. If we choose chemotherapy, we should use some drugs which are sufficient for reducing egg-associated pathology, since paired schistosomes are mostly harmful to definitive hosts.


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Longxing Qi. Jing-an Cui. "A Schistosomiasis Model with Mating Structure." Abstr. Appl. Anal. 2013 (SI18) 1 - 9, 2013.


Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095316
MathSciNet: MR3108618
Digital Object Identifier: 10.1155/2013/741386

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI18 • 2013
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