Author(s)

Yujiang Liu¹, Hengmin Lv², Shujing Gao¹

¹Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou, China.
²Department of Basic Education, Ji’an Polytechnic, Ji’an, China.

In this paper, we propose a schistosomiasis model in which two human groups share the water contaminated by schistosomiasis and migrate each other. The dynamical behavior of the model is studied. By calculation, the threshold value is given, which determines whether the disease will be extinct or not. The existence and global stability of the parasite-free equilibrium and the locally stability of the endemic equilibrium are discussed. Numerical simulations indicate that the diffusion from the mild endemic village to severe endemic village is benefit to control schistosomiasis transmission; otherwise it is bad for the disease control.

Schistosomiasis Model, Diffusion, Threshold Value, Center Manifold Theory

Liu, Y. , Lv, H. and Gao, S. (2016) A Schistosomiasis Model with Diffusion Effects. Applied Mathematics, 7, 587-598. doi: 10.4236/am.2016.77054.