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Mass Isolation and In Vitro Cultivation of Intramolluscan Stages of the Human Blood Fluke Schistosoma Mansoni
Published on: January 14, 2018
Dynamics of a delay Schistosomiasis model in snail infections
Chunhua Shan1, Hongjun Gao, Huaiping Zhu
1Department of Mathematics and Statistics, LAMPS and CDM, York University, Toronto, Ontario, Canada. schunhua@mathstat.yorku.ca
Abstract:
In this paper we modify and study a system of delay differential equations model proposed by Nasell and Hirsch (1973) for the transmission dynamics of schistosomiasis. The modified stochastic version of MacDonald's model takes into account the time delay for the transmission of infection. We carry out bifurcation studies of the model. The saddle-node bifurcation of the model suggests that the transmission and spread of schistosomiasis is initial size dependent. The existence of a Hopf bifurcation due to the delay indicates that the transmission can be periodic.
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