Author(s)

Huahua Cao, Shujing Gao, Xiangyu Zhang, Youquan Luo

College of Mathematics and Computer Science, Gannan Normal University, Ganzhou, China.

From the lifecycle of schistosome, the phenomenon of time delay is widespread. In this paper, a two-dimensional system is studied that incorporates two time delays which are the incubation period of human and snail, respectively. Our purpose is to demonstrate that the time delays are harmless for stability of equilibria of the system. Further, sufficient conditions of stability of equilibria are obtained.

Stability, Schistosomiasis Japonicum, Time Delay

Cao, H. , Gao, S. , Zhang, X. and Luo, Y. (2014) A Mathematical Model for Schistosomiasis Japonicum with Harmless Delay. Applied Mathematics, 5, 2807-2814. doi: 10.4236/am.2014.517268.