AM  Vol.5 No.17 , October 2014
A Mathematical Model for Schistosomiasis Japonicum with Harmless Delay
Author(s) Huahua Cao, Shujing Gao, Xiangyu Zhang, Youquan Luo
Affiliation(s)
College of Mathematics and Computer Science, Gannan Normal University, Ganzhou, China.
Abstract
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.
Keywords
Stability, Schistosomiasis Japonicum, Time Delay

Cite this paper
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.
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