A Schistosomiasis Model with Mating Structure | Zendy

Longxing Qi | Zendy; Jinǵan Cui | Zendy

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A Schistosomiasis Model with Mating Structure

Author(s) -

Longxing Qi,

Jinǵan Cui

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/741386

Subject(s) - schistosomiasis , snail , mating , stability (learning theory) , mathematics , transmission (telecommunications) , biology , statistics , ecology , zoology , helminths , computer science , machine learning , telecommunications

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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