The stabilizing effects of the acquired immunity on the schistosomiasis transmission modeling - the sensitivity Analysis
A mathematical model is proposed to analyze the effects of acquired immunity on the transmission of schistosomiasis in the human host. From this model the prevalence curve dependent on four parameters can be obtained. These parameters were estimated fitting the data by the maximum likelihood method....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Fundação Oswaldo Cruz (FIOCRUZ)
1998-01-01
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| Series: | Memorias do Instituto Oswaldo Cruz |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0074-02761998000700009 |
| _version_ | 1797715824292659200 |
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| author | Hyun Mo Yang Yang Ariana Campos |
| author_facet | Hyun Mo Yang Yang Ariana Campos |
| author_sort | Hyun Mo Yang |
| collection | DOAJ |
| description | A mathematical model is proposed to analyze the effects of acquired immunity on the transmission of schistosomiasis in the human host. From this model the prevalence curve dependent on four parameters can be obtained. These parameters were estimated fitting the data by the maximum likelihood method. The model showed a good retrieving capacity of real data from two endemic areas of schistosomiasis: Touros, Brazil (Schistosoma mansoni) and Misungwi, Tanzania (S. haematobium). Also, the average worm burden per person and the dispersion of parasite per person in the community can be obtained from the model. In this paper, the stabilizing effects of the acquired immunity assumption in the model are assessed in terms of the epidemiological variables as follows. Regarded to the prevalence curve, we calculate the confidence interval, and related to the average worm burden and the worm dispersion in the community, the sensitivity analysis (the range of the variation) of both variables with respect to their parameters is performed. |
| first_indexed | 2024-03-12T08:12:29Z |
| format | Article |
| id | doaj.art-0f34694ee85b4cb3bd07be9d6d70f882 |
| institution | Directory Open Access Journal |
| issn | 0074-0276 1678-8060 |
| language | English |
| last_indexed | 2024-03-12T08:12:29Z |
| publishDate | 1998-01-01 |
| publisher | Fundação Oswaldo Cruz (FIOCRUZ) |
| record_format | Article |
| series | Memorias do Instituto Oswaldo Cruz |
| spelling | doaj.art-0f34694ee85b4cb3bd07be9d6d70f8822023-09-02T19:06:32ZengFundação Oswaldo Cruz (FIOCRUZ)Memorias do Instituto Oswaldo Cruz0074-02761678-80601998-01-0193suppl.16373The stabilizing effects of the acquired immunity on the schistosomiasis transmission modeling - the sensitivity AnalysisHyun Mo YangYang Ariana CamposA mathematical model is proposed to analyze the effects of acquired immunity on the transmission of schistosomiasis in the human host. From this model the prevalence curve dependent on four parameters can be obtained. These parameters were estimated fitting the data by the maximum likelihood method. The model showed a good retrieving capacity of real data from two endemic areas of schistosomiasis: Touros, Brazil (Schistosoma mansoni) and Misungwi, Tanzania (S. haematobium). Also, the average worm burden per person and the dispersion of parasite per person in the community can be obtained from the model. In this paper, the stabilizing effects of the acquired immunity assumption in the model are assessed in terms of the epidemiological variables as follows. Regarded to the prevalence curve, we calculate the confidence interval, and related to the average worm burden and the worm dispersion in the community, the sensitivity analysis (the range of the variation) of both variables with respect to their parameters is performed.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0074-02761998000700009schistosomiasisacquired immunitymathematical modelepidemiological valuessensitivity analysis |
| spellingShingle | Hyun Mo Yang Yang Ariana Campos The stabilizing effects of the acquired immunity on the schistosomiasis transmission modeling - the sensitivity Analysis Memorias do Instituto Oswaldo Cruz schistosomiasis acquired immunity mathematical model epidemiological values sensitivity analysis |
| title | The stabilizing effects of the acquired immunity on the schistosomiasis transmission modeling - the sensitivity Analysis |
| title_full | The stabilizing effects of the acquired immunity on the schistosomiasis transmission modeling - the sensitivity Analysis |
| title_fullStr | The stabilizing effects of the acquired immunity on the schistosomiasis transmission modeling - the sensitivity Analysis |
| title_full_unstemmed | The stabilizing effects of the acquired immunity on the schistosomiasis transmission modeling - the sensitivity Analysis |
| title_short | The stabilizing effects of the acquired immunity on the schistosomiasis transmission modeling - the sensitivity Analysis |
| title_sort | stabilizing effects of the acquired immunity on the schistosomiasis transmission modeling the sensitivity analysis |
| topic | schistosomiasis acquired immunity mathematical model epidemiological values sensitivity analysis |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0074-02761998000700009 |
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