Epidemic spread of influenza viruses: The impact of transient populations on disease dynamics
The recent H1N1 ('swine flu') pandemic and recent H5N1 ('avian flu') outbreaks have brought increased attention to the study of the role of animal populations as reservoirs for pathogens that could invade human populations. It is believed that pigs acquired flu strains from bir...
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| Format: | Article |
| Language: | English |
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AIMS Press
2010-12-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.199 |
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| author | Karen R. Ríos-Soto Baojun Song Carlos Castillo-Chavez |
| author_facet | Karen R. Ríos-Soto Baojun Song Carlos Castillo-Chavez |
| author_sort | Karen R. Ríos-Soto |
| collection | DOAJ |
| description | The recent H1N1 ('swine flu') pandemic and recent H5N1 ('avian flu') outbreaks have brought increased attention to the study of the role of animal populations as reservoirs for pathogens that could invade human populations. It is believed that pigs acquired flu strains from birds and humans, acting as a mixing vessel in generating new influenza viruses. Assessing the role of animal reservoirs, particularly reservoirs involving highly mobile populations (like migratory birds), on disease dispersal and persistence is of interests to a wide range of researchers including public health experts and evolutionary biologists. This paper studies the interactions between transient and resident bird populations and their role on dispersal and persistence. A metapopulation framework based on a system of nonlinear ordinary differential equations is used to study the transmission dynamics and control of avian diseases. Simplified versions of mathematical models involving a limited number of migratory and resident bird populations are analyzed. Epidemiological time scales and singular perturbation methods are used to reduce the dimensionality of the model. Our results show that mixing of bird populations (involving residents and migratory birds) play an important role on the patterns of disease spread. |
| format | Article |
| id | doaj-art-44bd5ac3bc9144dcb5ccad1d63a52e54 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2010-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-44bd5ac3bc9144dcb5ccad1d63a52e542025-01-24T02:01:20ZengAIMS PressMathematical Biosciences and Engineering1551-00182010-12-018119922210.3934/mbe.2011.8.199Epidemic spread of influenza viruses: The impact of transient populations on disease dynamicsKaren R. Ríos-Soto0Baojun Song1Carlos Castillo-Chavez2Department of Mathematical Sciences, University of Puerto Rico-Mayagüez, Mayagüez, PR 00686Department of Mathematical Sciences, University of Puerto Rico-Mayagüez, Mayagüez, PR 00686Department of Mathematical Sciences, University of Puerto Rico-Mayagüez, Mayagüez, PR 00686The recent H1N1 ('swine flu') pandemic and recent H5N1 ('avian flu') outbreaks have brought increased attention to the study of the role of animal populations as reservoirs for pathogens that could invade human populations. It is believed that pigs acquired flu strains from birds and humans, acting as a mixing vessel in generating new influenza viruses. Assessing the role of animal reservoirs, particularly reservoirs involving highly mobile populations (like migratory birds), on disease dispersal and persistence is of interests to a wide range of researchers including public health experts and evolutionary biologists. This paper studies the interactions between transient and resident bird populations and their role on dispersal and persistence. A metapopulation framework based on a system of nonlinear ordinary differential equations is used to study the transmission dynamics and control of avian diseases. Simplified versions of mathematical models involving a limited number of migratory and resident bird populations are analyzed. Epidemiological time scales and singular perturbation methods are used to reduce the dimensionality of the model. Our results show that mixing of bird populations (involving residents and migratory birds) play an important role on the patterns of disease spread.https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.199epidemic models; epidemiological time scales; singular perturbation theory; avian influenza; mixing probabilities. |
| spellingShingle | Karen R. Ríos-Soto Baojun Song Carlos Castillo-Chavez Epidemic spread of influenza viruses: The impact of transient populations on disease dynamics Mathematical Biosciences and Engineering epidemic models; epidemiological time scales; singular perturbation theory; avian influenza; mixing probabilities. |
| title | Epidemic spread of influenza viruses: The impact of transient populations on disease dynamics |
| title_full | Epidemic spread of influenza viruses: The impact of transient populations on disease dynamics |
| title_fullStr | Epidemic spread of influenza viruses: The impact of transient populations on disease dynamics |
| title_full_unstemmed | Epidemic spread of influenza viruses: The impact of transient populations on disease dynamics |
| title_short | Epidemic spread of influenza viruses: The impact of transient populations on disease dynamics |
| title_sort | epidemic spread of influenza viruses the impact of transient populations on disease dynamics |
| topic | epidemic models; epidemiological time scales; singular perturbation theory; avian influenza; mixing probabilities. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.199 |
| work_keys_str_mv | AT karenrriossoto epidemicspreadofinfluenzavirusestheimpactoftransientpopulationsondiseasedynamics AT baojunsong epidemicspreadofinfluenzavirusestheimpactoftransientpopulationsondiseasedynamics AT carloscastillochavez epidemicspreadofinfluenzavirusestheimpactoftransientpopulationsondiseasedynamics |