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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 741386, 9 pages
http://dx.doi.org/10.1155/2013/741386
Research Article

A Schistosomiasis Model with Mating Structure

1School of Mathematical Sciences, Anhui University, Hefei 230601, China
2College of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, China

Received 10 July 2013; Accepted 20 August 2013

Academic Editor: Mark McKibben

Copyright © 2013 Longxing Qi and Jing-an Cui. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.