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A mathematical approach to the mode of transmission of clonorchiasis in the inhabitants of Nak-dong and Han River basin
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Korean J Parasito > Volume 17(2):1979 > Article

Original Article
Korean J Parasitol. 1979 Dec;17(2):114-120. English.
Published online Mar 20, 1994.  http://dx.doi.org/10.3347/kjp.1979.17.2.114
Copyright © 1979 by The Korean Society for Parasitology
A mathematical approach to the mode of transmission of clonorchiasis in the inhabitants of Nak-dong and Han River basin
Ki-Won Song,Shin-Yong Kang and Soon-Hyung Lee
Department of Parasitology, College of Medicine, Chung-Ang University, Korea.
Abstract

To understand the mode of transmission in clonorchiasis, a survey was made in Kim-hae Goon, South Kyong-sang Do (=Province). The mathematical analysis of the age prevalence was done on the egg positive rates. And another analysis for the comparison was also made to the cited data from two areas, North Kyong-sang Do and Ko-yang Goon, Kyong-gi Do.

Some catalytic models of H. Muench (1959) were applied to the observed age prevalence. Because the both parameters, such as force of infection(a) and loss of positivity(b) were considered to be constant for a long period in the surveyed area, the two stage catalytic model by Muench was chosen to the analysis.

In the surveyed area, Kim-hae Goon where the egg positive rates were 56.2% and 61.2 percent (by Kim, 1974), the constant values of 'a' were found to be 0.051 and 0.089 respectively. In other words, the force of infection was 51, 89 per 1,000 susceptibles. The values of 'b' were found to be 0.006 and 0.005. This means that the rates of disappearance from egg positive cases to negative were 6 and 5 per annum per l,000 positive cases in above area. Therefore, the two catalytic curves were expressed by the following equations,

y = 1.133 {e(-0.006t) - e(-0.051t)} and y = 1.047 {e(-0.005t) - e(-0.089t)} respectively.

In the cases of North Kyong-sang Do and Ko-yang Goon, Kyong-gi Do where the egg positive rates of clonorchis shown as 27.7% and 15.2% by Shin (1964) and Kim (l974), the curves were expressed by y = 1.769 {e(-0.010t) - e(-0.034t)} and y = 2.857 {e(-0.020t) - e-0.027t)} respectively.

From the above mathematical analyses by age prevalence in clonorchiasis, it was considered that the mode of transmission of clonorchiasis in the surveyed area, Kim-hae Goon presented more rapid pattern than those of North Kyong-sang Do and Ko-yang Goon, Kyong-gi Do.

Figures


Fig. 1
Age prevalence rates and fitted to the two stage catalytic curves of Clonorchis infection in Kim-hae Goon.

I Present study, II (Kim, 1974)



Fig. 2
Age prevalence rates and fitted to the two stage catalytic curves of Clonorchis infection in N. Kyong-sang Do, III (Shin, 1964) and Koyang Goon, IV (Kim, 1974).

Tables


Table 1
Age and sex distribution of C. sinensis infection in surveyed population (present study)


Table 2
Comparative data of the age prevalence rates of clonorchiasis in the areas of Nak-Dong and Han River


Table 3
Application of the two stage catalytic model for the age prevalence of Clonorchis infection in Kim-hae Goon (1976) by present survey


Table 4
Application of the two stage catalytic model for the age prevalence of Clonorchis infection in Kim-hae Goon (Kim, 1976)


Table 5
Application of the two stage catalytic model for the age prevalence of Clonorchis infection in North Kyong-sang Do (Shin, 1964)


Table 6
Application of the two stage catalytic model for the age prevalence of Clonorchis infection in Ko-Yang Goon (Kim, 1974)


Table 7
Comparative data of the two stage catalytic curves to the age prevalence of clonorchiasis in the various areas

References
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