Aggregation and environmental transmission in chronic wasting disease
Disease transmission depends on the interplay between theinfectious agent and the behavior of the host. Some diseases, suchas Chronic Wasting Disease, can be transmitted directly betweenhosts as well as indirectly via the environment. The socialbehavior of hosts affects both of these pathways, and a...
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| Language: | English |
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AIMS Press
2014-11-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.209 |
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| author | Olga Vasilyeva Tamer Oraby Frithjof Lutscher |
| author_facet | Olga Vasilyeva Tamer Oraby Frithjof Lutscher |
| author_sort | Olga Vasilyeva |
| collection | DOAJ |
| description | Disease transmission depends on the interplay between theinfectious agent and the behavior of the host. Some diseases, suchas Chronic Wasting Disease, can be transmitted directly betweenhosts as well as indirectly via the environment. The socialbehavior of hosts affects both of these pathways, and a successfulintervention requires knowledge of the relative influence of thedifferent etiological and behavioral aspects of the disease. Wedevelop a strategic differential equation model for ChronicWasting Disease and include direct and indirect transmission aswell as host aggregation into our model. We calculate the basicreproduction number and perform a sensitivity analysis based onLatin hypercube sampling from published parameter values. We findconditions for the existence of an endemic equilibrium, and showthat, under a certain mild assumption on parameters, the modeldoes not exhibit a backward bifurcation or bistability. Hence, thebasic reproduction number constitutes the disease eliminationthreshold. We find that the prevalence of the disease decreaseswith host aggregation and increases with the lifespan of theinfectious agent in the environment. |
| format | Article |
| id | doaj-art-d1f7d235d9a141c8aacac4adc4e77716 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2014-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-d1f7d235d9a141c8aacac4adc4e777162025-01-24T02:31:28ZengAIMS PressMathematical Biosciences and Engineering1551-00182014-11-0112120923110.3934/mbe.2015.12.209Aggregation and environmental transmission in chronic wasting diseaseOlga Vasilyeva0Tamer Oraby1Frithjof Lutscher2Department of Mathematics, Christopher Newport University, 1 Avenue of the Arts, Newport News, VA 23606Department of Mathematics, The University of Texas-Pan American, 1201 W. University Drive, Edinburg, TX 78539Department of Mathematics, Univeristy of Ottawa, 585 King Edward, Ottawa, ON K1N 6N5Disease transmission depends on the interplay between theinfectious agent and the behavior of the host. Some diseases, suchas Chronic Wasting Disease, can be transmitted directly betweenhosts as well as indirectly via the environment. The socialbehavior of hosts affects both of these pathways, and a successfulintervention requires knowledge of the relative influence of thedifferent etiological and behavioral aspects of the disease. Wedevelop a strategic differential equation model for ChronicWasting Disease and include direct and indirect transmission aswell as host aggregation into our model. We calculate the basicreproduction number and perform a sensitivity analysis based onLatin hypercube sampling from published parameter values. We findconditions for the existence of an endemic equilibrium, and showthat, under a certain mild assumption on parameters, the modeldoes not exhibit a backward bifurcation or bistability. Hence, thebasic reproduction number constitutes the disease eliminationthreshold. We find that the prevalence of the disease decreaseswith host aggregation and increases with the lifespan of theinfectious agent in the environment.https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.209disease free equilibriumchronic wasting diseaseenvironmental transmissionaggregationendemic equilibrium. |
| spellingShingle | Olga Vasilyeva Tamer Oraby Frithjof Lutscher Aggregation and environmental transmission in chronic wasting disease Mathematical Biosciences and Engineering disease free equilibrium chronic wasting disease environmental transmission aggregation endemic equilibrium. |
| title | Aggregation and environmental transmission in chronic wasting disease |
| title_full | Aggregation and environmental transmission in chronic wasting disease |
| title_fullStr | Aggregation and environmental transmission in chronic wasting disease |
| title_full_unstemmed | Aggregation and environmental transmission in chronic wasting disease |
| title_short | Aggregation and environmental transmission in chronic wasting disease |
| title_sort | aggregation and environmental transmission in chronic wasting disease |
| topic | disease free equilibrium chronic wasting disease environmental transmission aggregation endemic equilibrium. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.209 |
| work_keys_str_mv | AT olgavasilyeva aggregationandenvironmentaltransmissioninchronicwastingdisease AT tameroraby aggregationandenvironmentaltransmissioninchronicwastingdisease AT frithjoflutscher aggregationandenvironmentaltransmissioninchronicwastingdisease |