易感地带的日本血吸虫病传播动力学模型及其定性分析

THE QULITIVE ANALYSIS OF THE MODEL OF TRANSMISSION DYNAMICSES OF JAPANESE SCHISTOSOMIASIS IN EASILY INFECTED REGIONS

在血吸虫病流行病学上,把容易感染血吸虫病的地方称为易感地带.易感地带的特点:一是人、多种牲畜作为终宿主参与了血吸虫病的传播,终宿主的种群数 m 大于2;二是各终宿主的平均虫体负荷较大.

In this paper we established a model of the transmission dynamics of Japanese Schistosomiasis in easily infected regions,that is a higher dynamics system,studied the characteristic of nonwandering points in the model(1) in Euclidean Space R^m,the nonexistence of high order periodic solution, the globle topological structure,and studied the meaning of this characteristic in the epidemidogic of schistosomiasis.At the sometime we established the condition of the existence of threshold value and it's calculation.Paper[1] is the special example of this paper under the case in which there are two end hosts and this population averge loads are not large.